#### Structural Beam Deflection Equations and Stress Formula and Beam Deflection Calculators

Structural Beam Deflection, Stress Formula and Calculator: The follow web pages contain engineering design calculators that will determine the amount of deflection and stress a beam of known cross section geometry will deflect under the specified load and distribution. Please note that SOME of these calculators use the section modulus of the geometry cross section ("z") of the beam. You will need to determine the moment of inertia of the cross section and the distance from the neutral axis to the edge of your geometry.

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Stress & Deflection Equation and Calculator for Beam Supported on Both Ends Single Load at Center Constant cross section beam Stress, Deflection Equation and Calculator using single applied load at center
Equation and Calculator for Stress and Deflection of Beam Constant cross section beam supported on both Ends Loaded at any Location using single applied load at center
Stress and Deflection Equations and Calculator for Structural Beam Beam Supported on Both Ends With Overhanging Supports of equal Length and Equal Loads
Beam Stress & Deflection Equation and Calculator For Beam at Supported at Both Ends and Two equal Loads Beam Supported on Both Ends With Two Loads Applied at Equal Length From Structural Ends.
Beam Stress and Deflection Equation and Calculator Structural Beam Deflection, Stress, Bending Equation and Calculator for a Beam with Ends Overhanging Supports and Two loads.
Beam Stress & Deflection Equations / Calculator Beam with Two Equal Loads applied at Symmetrical Locations Stress, Bending Equation and calculator for a Beam with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations.
Beam Stress Calculator Simply Supported Beam with Superimposed Loading Equations Deflection, Stress, Bending Equations and calculator for a Simply Supported Beam on Both Ends Under Superimposed Loading Equations.
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Beam Stress & Deflection Equations / Calculator Cantilevered Beam Structural Beam Deflection, Stress Equations and calculator for a Cantilevered Beam with Uniform Load.
Beam Calculator Cantilevered Beam with One Load Applied at End Deflection and Stress Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with One Load Applied at End.
Cantilevered Beam Stress & Deflection Equations and Calculator Deflection and Stress Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with Load at Location Between Support and Load.
Curved Beam Stress and Deflection Design Spreadsheet Calculator
Beam Defection and Stress Free and Guided on One End, Rigid one End With Uniform Load Structural Deflection, Stress, Bending Equations and Calculator for a Beam Free and Guided on One End, Rigid other End With Uniform Load.
Constant Cross Beam Section Shear, Stress and Deflections Equations and Calculator Structural Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Partial Distributed Load
Cantilevered Beam Deflection, Shear, Deflection and Stress Equations and calculator for a Beam supported One with Tapered Load Structural Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Tapered Load.
Beam Stress, Deflection and Slope supported One End Cantilevered with Reversed Tapered Load Structural Beam Deflection, Shear, Slope and Stress Equations and calculator for a Beam supported One End Cantilevered with Tapered Load.
Deflection, Shear and Stress Equations and Calculator Cantilevered Beam with Limited Tapered Load Deflection and Stress Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End Cantilevered with Limited Tapered Load
Cantilevered Beam Deflection, Shear and Stress Equations and Calculator Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End Cantilevered with Limited Tapered Load
Shear, Deflections and Stress Equations and calculator for a Beam Triangular Distributed Load Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Triangular Distributed Load
Beam Distributed Load Deflection, Shear, Deflection and Stress Equations and Calculator Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Partial Distributed Load
Beam supported One End, Pin Opposite End and two Partial Distributed Load Separated Deflection and Stress Equation and Calculator Beam Deflection, Shear and Stress Calculator for Beam supported One End, Pin Opposite End and two Partial Distributed Load Separated.
Equations and Calculator Deflections and Stress for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load.
Beam Stress and Deflection Equations / Calculator with Fixed Ends Tapering Loading
Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Two Tapered Distributed Load Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Two Tapered Distributed Load.

Calculator for a Beam supported One End, Pin Opposite End and Single Moment at End Applied Deflection and Stress Calc Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Single Moment at End Applied

Beam supported One End, Pin Opposite End and Single Moment at Defined Center Location Deflection and Stress Calculator Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Single Moment at Defined Center Location
Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Single Load at End Deflection and Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Single Load at End
Stress Equations and Calculator for a Beam supported One End, , Cantilevered at Defined Location and Distributed Load Between Supports Shear, Deflection and Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Distributed Load Between Supports
Stress Equations and Deflection Calculator for a Beam supported One End, Cantilevered at Defined Location and Single Load Between Supports Shear, Deflection and Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Single Load Between Supports
Stress & Deflection Equations and Calculator for a Beam Supported One End, Cantilevered at Defined Location and Single Moment Applied at End Stress Equations and Calculator for a Beam Supported One End, Cantilevered at Defined Location and Single Moment Applied at End
Stress & Deflection Equations and Calculator for a Beam Supported One End, Cantilevered at Defined Location and Uniform loading Applied Stress Equations and Calculator for a Beam Supported One End, Cantilevered at Defined Location and Uniform loading Applied
Stress & Deflection Deflection Equations and Calculator Beam Supported Uniform loading Applied on Cantilevered End Stress Deflection Equations and Calculator Beam Supported Uniform loading Applied on Cantilevered End
Stress Deflection and Moment Equations and Calculator Beam Supported Uniform loading Applied Stress Deflection Moment Equations and Calculator Beam Supported Uniform loading Applied
Beam Stress & Deflection Equation Calculator Supported on One End, Rigid one End With Uniform Load Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on One End, Rigid one End With Uniform Load.
Beam Stress & Deflection Equations / Calculator Free and Guided on One End, Rigid one End With Single Load Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Free and Guided on One End, Rigid one End With Uniform Load and Bending moment.
Beam Stress & Deflection Equations / Calculator Free and Guided on One End Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with bending moment applied
Beam Stress & Deflection Equations / Calculator Moment Applied at Defined Location Beam Stress & Deflection Equations / Calculator Moment Applied at Defined Location
Stress Deflection Moment Equations and Calculator Beam Supported Partial Uniform loading Applied Stress Deflection Moment Equations and Calculator Beam Supported Partial Uniform loading Applied
Stress Deflection Moment Equations and Calculator Beam Supported Partial Distributed Uniform loading Applied Stress Deflection Moment Equations and Calculator Beam Supported Partial Distributed Uniform loading Applied
Stress Deflection Moment Equations and Calculator Beam Supported Tapering Load Applied Stress Deflection Moment Equations and Calculator Beam Supported Tapering Load Applied
Stress Deflection Strain Equations and Calculator Beam Supported Tapering Load Applied Stress Deflection Strain Equations and Calculator Beam Supported Tapering Load Applied
Stress Deflection Moment Equations and Calculator Beam Supported Partial Tapering Load Applied Stress Deflection Moment Equations and Calculator Beam Supported Partial Tapering Load Applied
Stress Deflection Strain Moment Equations and Calculator Beam Supported Partial Tapering Load Applied Stress Strain Deflection Moment Equations and Calculator Beam Supported Partial Tapering Load Applied
Beam Cross Section Stress & Deflection Equations / Calculator - Both Ends Overhanging Supports Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with Both Ends Overhanging Supports, Load at any Point Between.
Beam Stress Deflection Equations / Calculator - Fixed at One End, Supported at the Other, Load at Center Beam Deflection, Stress, Bending calculator for a Beam Fixed at One End, Supported at the Other
Beam Stress Deflection Equations / Calculator - Fixed at One End, Supported at the Other, Load at any Point Stress, Bending Equations and calculator for a Beam Fixed at One End, Supported at the Other, Load at any Point.
Beam Stress Deflection Equations / Calculator - Fixed at Both Ends, Load at Center Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends, Load at Center.
Beam Stress Deflection Equations / Calculator - Fixed at Both Ends, Load at any Location Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends, Load at any location.
Beam Stress Deflection Equations / Calculator with Uniform Loading Beam Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends with Uniform Loading.
Beam Stress Deflection Equations / Calculator with Partial Uniform Loading Beam Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends with Partial Uniform Loading.
Beam Stress Deflection Equations / Calculator with Partial Tapering Loading Beam Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends with Partial Tapering Loading.
Beam Stress Deflection Equations / Calculator with Fixed Ends Moment Applied Beam Stress Deflection Equations / Calculator with Fixed Ends Moment Applied
Beam Bending Stress Deflection Equations / Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads Deflection, Stress, Bending Equations and calculator for a Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads.
Beam Stress Deflection Equations / Calculator - Continuous Beam, with Two Equal Spans, Uniform Load Deflection, Stress, Bending Equations and calculator for a continuous Beam, with Two Equal Spans, Uniform Load. c = Distance neutral axis to extreme fiber
Area Moment Methods to Calculate Deflection in Beams No Calculator! Calculation of deflections and redundant reactions for beams on two supports can be made by the use of the area-moment method.
Beam Parabolic Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
Beam Stress Deflection Equations Calculator Triangular Shape Fixed End Single Concentrated Force Applied
Beam Cubic Parabola Shape Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
Flexural Strengthening of Reinforced Concrete Beam with FRP Laminates Spreadsheet Calculator
Shear Strengthening of T-beam with FRP Spreadsheet Calculator
RC Shear Wall Analysis and Design Spreadsheet Calculator
Base plate with Large Moment to AISC LRFD Spreadsheet Calculator
Combined Stress Circular Cantilever Beam in Direct Compression and Bending Stress Equations and Calculator Circular Cantilever Beam in Direct Compression. For every calculated normal stress there is a corresponding induced shear stress; the value of the shear stress is equal to half that of the normal stress.
Circular Cantilever Beam in Direct Tension and Bending Stress Equations and Calculator Circular Cantilever Beam in Direct Tension. For every calculated shear stress t here is a corresponding induced normal stress; the value of the normal stress is equal to that of the shear stress.
Beam in Direct Compression and Bending Stress Equations and Calculator Circular Cantilever Beam in Direct Compression and Bending Equations and Calculator
Rectangular Cantilever Beam in Direct Tension and Bending Stress Equations and Calculator Rectangular Cantilever Beam in Direct Tension and Bending Stress and Deflection Equation and Calculator
Combined Loading on Circular Beam or Shaft in Direct Compression and Bending Stress Equation and Calculator Combined Loading on Circular Beam or Shaft in Direct Compression and Bending Equation and Calculator
Combined Loading on Circular Beam or Shaft in Direct Tension and Bending Stress Equation and Calculator Circular Beam or Shaft Combined Loading in Direct Tension and Bending Equation and Calculator:
Combined Loading on Rectangular Beam or Shaft in Direct Compression and Bending Stress Equation and Calculator Rectangular Beam or Shaft in Direct Compression and Bending Equation and Calculator:
Rectangular Beam or Shaft in Direct Tension and Bending Stress Equation and Calculator Rectangular Beam or Shaft in Direct Compression and Bending Equation and Calculator:
Combined Loading on Circular Shaft in Direct Compression and Torsion Stress Equation and Calculator Circular Shaft in Direct Compression and Torsion Equation and Calculator:
Loading on Circular Shaft in Direct Tension and Torsion Stress Equation and Calculator Combined Loading on Circular Shaft in Direct Tension and Torsion Equation and Calculator:
Combined Loading Offset Link, Circular Cross Section, in Direct Compression Stress Equation and Calculator Maximum Nominal Tensile or Compressive Stress Maximum Nominal Shear Stress
Combined Loading Offset Link, Rectangular Section, in Direct Tension Stress Equation and Calculator Rectangular Section, in Direct Compression Stress Equation and Calculator
Concentrated Load on the Horizontal Member Elastic Frame Equations and Calculator
Distributed Load on the Horizontal Member Elastic Frame Deflections Equations and Calculator
Frame Deflections with Concentrated Moment Applied on Horizontal Member Equations and Calculator
Frame Deflections with Concentrated Angular Displacement Applied on Horizontal Member Calculator
Frame Deflections with Concentrated Lateral Displacement Applied on Horizontal Member Equations and Calculator
Frame Deflections with Concentrated Load Applied to Vertical Member Equations and Calculator
Frame Deflections with Distributed Load Applied to Left Vertical Member Equations and Calculator
Frame Deflections with Concentrated Moment Applied to Left Vertical Member Equations and Calculator
Frame Deflections with Concentrated Angular Displacement Applied to Left Vertical Member Equations and Calculator
Frame Deflections with Concentrated Lateral Displacement Applied to Left Vertical Member Equations and Calculator
Frame Deflections with Concentrated Load Applied to Right Vertical Member Equations and Calculator
Frame Deflections with Distributed Load Applied to Right Vertical Member Equations and Calculator
Frame Deflections with Concentrated Moment Applied to Right Vertical Member Equations and Calculator
Frame Deflections with Concentrated Angular Displacement Applied Right Vertical Member Equations and Calculator
Frame Deflections with Concentrated Lateral Displacement Applied Right Vertical Member Equations and Calculator
Frame Deflections with Uniform Temperature Rise Equations and Calculator
Frame Deflections with Uniform Temperature Differential Between Outside and Inside Equations and Calculator
Frame Deflections with Concentrated Load on the Horizontal Member Equations and Calculator. Left vertical member guided horizontally, right end pinned.
Distributed Load Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
Concentrated Moment on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
Concentrated Angular Displacement on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
Concentrated Lateral Displacement on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
Concentrated load on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
Distributed Load on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator
Concentrated Moment on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator
Concentrated Angular Displacement on Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator
Concentrated Lateral Displacement on Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.

Concentrated Load on Right Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.

Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5a.
Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the horizontal member Case 5b formulas and calculator Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated moment on the horizontal member Case 5c formulas and calculator Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the right vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5L.
Concentrated Angular Displacement on the Right Vertical Member Frame formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5N.
Structural Shapes Moment Connections Design Spreadsheet Calculator
Stress from Drop Load of Beam Supported on Both Ends and Struck in the Center.
Stress from Drop Load of Beam Fixed on Both Ends and Struck at Center Equations and Calculator.
Capacity of Standard Universal Beams According to BS5950 Spreadsheet Calculator - premium membership required
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Design and Analysis of Leaf Springs using FEA Approach This is a general study the design and analysis of leaf spring.
Flat spring supported on both ends design equations and calculator
Flat spring cantilevered design equations and calculator
Flat spring cantilevered design triangular geometry equations and calculator
Tapered Flat spring cantilevered design equations and calculator
Stresses in Helical Springs Produced by Shocks Formulas and Calculator
Circular Composite Beams and Columns Design Spreadsheet Calculator
Composite Rectangular Beam and Columns Spreadsheet Calculator
Cored Laminate Composite Stiffness Calculator Here also are discussed the effects of facing and core stiffness on sandwich bending stiffness so that the degree of approximation implied by simplified formulas neglecting facing and core stiffness is known.
W-Flange Overhead Monorail Beam Analysis Calculator For W-shaped Under hung Monorails Analyzed as Simple-Spans with / without Overhang Per AISC 9th Edition ASD Manual and CMAA Specification No. 74 (2004)
S-Flange Overhead Monorail Beam Analysis Calculator S-shaped Under hung Monorails Analyzed as Simple-Spans with / without Overhang Per AISC 9th Edition ASD Manual and CMAA Specification No. 74 (2004)
K-Series Joist Deflection and Stress Analysis Calculator K-Series Joists Specifications Designations: 8K1 to 30K12 Depths: 8 to 30 in. Standard Seat Depth (Height): 2.5 in. Span Range: 8 to 60 ft. ASD Load Range: 127 to 550 plf LRFD Load Range: 190 to 825 plf Maximum Span/Depth Ratio: 24
LH-Series Joist Deflection and Stress Analysis Calculator LH, Long span Steel Joists Designations: 18LH02 to 48LH17 Depths: 18 to 48 in. Types: Parallel Chord, Single Pitch, Double Pitch; Under slung or Bottom Chord Bearing
Monolithic Corbels and Brackets According To ACI 318 - 99 Spreadsheet Calculator
Staircase Analysis and Design Spreadsheet Calculator

Lifting Boom, Davits Application and Design Equations

Davits refer to single mechanical arms with a winch for lowering and raising objects. A davit is commonly used system designed to lower an emergency lifeboat from a ship to the embarkation level to be boarded.

Tension Compression Machine Feature Equation and Calculator
Principal and Von-Mises Stress Equations and Calculator
Principal stresses for 2 dimensional plane stress system and von-mises stress equations and calculator.
Mohr's Circle Equation and Calculator
Mohr's circle is a geometric representation of the 2-D transformation of stresses.

Single-Span Beam Deflection for Simple, Propped, Fixed or Cantilever Beams. - Include Shear and Moment Diagram.

NOTE: Large web page that opens in pop-up window.

Section Modulus - Plastic Section Modulus (PNA) Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Fixed Pin Cantilever Beam Design Calculator Designing a Fixed-Pinned Cantilever Beam
Flat Plate Deflection & Stress Calculator Assumptions: The plate is flat, of uniform thickness, and of homogeneous isotropic material; the thickness is not more than about one quarter of the least transverse dimension, and the maximum deflection is not more than about one-half the thickness;
Axial Load Capacities Single Plates Calculator Axial Load Capacities of a Single Plate Equation and Calculator
Tapered Snap Fit Beam Bending Equation and Calculator Plastic Snap Fit Stress, deflection and moment equation and calculator
Honeycomb Beam & Panel Calculations Spreadsheet Calculator
Concrete Rectangular Beam Section Analysis Calculator Concrete Rectangular Beam Section Analysis Calculator Beam or One-Way Type Shear per Per ACI 318-05 Code
Rectangular Concrete Beam Section Analysis Crack Control - Distribution of Flexural Reinforcing Concrete Beam Section or Slab Analysis Per ACI 318-05 and ACI 318-95 Codes
Rectangular Concrete Beam Section Analysis Beam Torsion and Shear Concrete Beam Torsion and Shear Per ACI 318-05 Code
Bolt Shear AISC Stress Calculator Calculator will determine bolt stress in tension and shear per AISC 9th Edition Manual (ASD)
Eccentric Loading On Bolt Group One Vertical Row Calculator - Based on the Instantaneous Center of Rotation Method and Alternate Method 2, Using Table XI from AISC 9th Ed. Manual (ASD) - page 4-62
Eccentric Loads on Bolt Groups for Two Vertical Rows of Bolts Row Separation fixed 3" Based on the Instantaneous Center of Rotation Method and Alternate Method 2 Using Table XII from AISC 9th Ed. Manual (ASD) - page 4-63. Vertical Row Bolt Spacing at 3"
Eccentric Loads on Bolt Groups for Two Vertical Rows of Bolts Fixed Separation of 8" Based on the Instantaneous Center of Rotation Method and Alternate Method 2 Using Table XII from AISC 9th Ed. Manual (ASD) - page 4-63 . Vertical Row Bolt Spacing at 8 "
Eccentric Loads on Bolt Groups for Two Vertical Rows of Bolts Bolt group instantaneous center analysis for three vertical rows spaced at 3 " spacing
Eccentric Loads on Bolt Groups for Two Vertical Rows of Bolts Bolt group instantaneous center analysis for three vertical rows spaced at 6" spacing

Structural Eccentric Loading on Bolt Group - For Two Vertical Rows Calculator Fixed Vertical Separation of 5-1/2 " Based on the Instantaneous Center of Rotation Method and Alternate Method 2 Using Table XII from AISC 9th Ed. Manual (ASD) - page 4-63

Eccentric Loading on Bolt Pattern for Vertical Rows of Four Four Vertical Rows Fixed Vertical Separation 4" Based on the Instantaneous Center of Rotation Method and Alternate Method 2 Using Table XVII from AISC 9th Ed. Manual (ASD) - page 4-68
Single-Riveted Lap-Joint Formulas for Stress and Strength Design Equations and Calculator.
Double-Riveted Lap-Joint Formulas and Calculator for Stress and Strength Design
Single-Riveted Lap-Joint with Inside Cover Plate Formulas and Calculator for Stress and Strength Design
Double-Riveted Lap-Joint with Inside Cover Plate Formulas and Calculator for Stress and Strength Design.
Double-Riveted Butt Joint Plate Formulas and Calculator for Stress and Strength Design
Triple-Riveted Butt Joint Plate Formulas and Calculator for Stress and Strength Design
Collar Bolt Flange Pressure Vessel Spreadsheet Calculator
Ideal Pinned Column Buckling Calculator When a column buckles, it maintains its deflected shape after the application of the critical load. In most applications, the critical load is usually regarded as the maximum load sustainable by the column.

Column Loading and Elastic Stability Formulae and Calculator Stepped straight bar under end load P and intermediate load P2; upper end free, lower end fixed.

Column Loading and Elastic Stability Formulae and Calculator Case 1b Stepped straight bar under end load P1 and intermediate load P2; both ends pinned
Column Loading and Elastic Stability Formulae and Calculator Case 1c Stepped straight bar under end load P1 and intermediate load P2; upper end guided, lower end fixed
Column Loading and Elastic Stability Formulae and Calculator Case 1d Stepped straight bar under end load P1 and intermediate load P2; upper end pinned, lower end fixed
Column Loading and Elastic Stability Formulae and Calculator Case 1e Stepped straight bar under end load P1 and intermediate load P2; both ends fixed
Column Loading and Elastic Stability Formulae and Calculator Case 2a Stepped straight bar under end load P1 and intermediate load P2; both ends fixed
Column Loading and Elastic Stability Formulae and Calculator Case 2b Stepped straight bar under tensile end load P1 and intermediate load P2; both ends pinned.
Column Loading and Elastic Stability Formulae and Calculator Case 2c Stepped straight bar under tensile end load P1 and intermediate load P2; upper end guided, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 2d Stepped straight bar under tensile end load P1 and intermediate load P2; upper end pinned, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 2e. Stepped straight bar under tensile end load P1 and intermediate load P2; both ends fixed
Column Loading and Elastic Stability Formulae and Calculator Case 3a1 Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length; several end conditions. Upper end free, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3a2. Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length. Upper end pinned, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3a3. Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length. Upper end pinned, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3a4. Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length. Both ends fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3B1. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; several end conditions Upper end free, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3B2. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; both ends pinned.
Column Loading and Elastic Stability Formulae and Calculator Case 3B3. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; upper end pinned, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3B4. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; both ends fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3C1. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Upper end free, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3C2. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Both ends pinned.
Column Loading and Elastic Stability Formulae and Calculator Case 3C3. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Upper end pinned, lower end fixed.
Column Loading and Elastic Stability Formulae and Calculator Case 3C4. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Both ends fixed.
Cylinder Stress and Deflection with Applied Torsion Equations and calculator for determining the cylinder stress and deflection with a known applied torsion or torque.
Torsional Deformation and Stress Solid Circular Section Equations and Calculator
Torsional Deformation and Stress Solid Elliptical Section Equations and Calculator
Solid Square Section Torsional Deformation and Stress Calculator and Equations
Torsional Deformation and Stress Solid Rectangular Section Equations and Calculator
Torsion Deformation and Stress Hollow Rectangle Thin Wall Tube Section Equations and Calculator
Torsional Deformation and Stress Solid Triangular Section Equations and Calculator
Torsional Deformation and Stress Solid Isosceles Triangle Section Equations and Calculator
Torsional Deformation and Stress Solid Circular Segmental Section Equations and Calculator
Torsional Deformation and Stress Circular Segmental Section Equations and Calculator
Torsional Deformation and Stress Circular shaft with opposite sides flattened Equations and Calculator.
Torsional Deformation and Stress Concentric Circular Section Equations and Calculator. Torsional deflection and stress of a pipe.
Torsional Deformation and Stress Eccentric Hollow Circular Section Equations and Calculator
Torsional Deformation and Stress Hollow Elliptical Section Equations and Calculator
Torsional Deformation and Stress Elliptical Hollow thin-walled section of uniform thickness Equations and Calculator
Torsional Deformation and Stress Thin Circular Open Tube of Uniform Thickness Section Equations and Calculator
Torsional Deformation and Stress Any Thin Open Tube of Uniform Thickness Calculator
Torsion Applied Deformation and Stress of any elongated section with axis of symmetry OX; Equations and Calculator
Torque Applied Deformation and Stress of a Trapezoid Equations and Calculator
Torque Applied Deformation and Stress of a T-Section Equations and Calculator
Torque Applied Deformation and Stress of a L-Section Equations and Calculator

Torque Applied Deformation and Stress of a I Beam Section Equations and Calculator

Torque Applied Deformation and Stress of a C Beam Section Calculator
Torque Applied Deformation and Stress of a Shaft with Keyway Equations and Calculator
Torque Applied Deformation and Stress of a Shaft with Two Keyway's Equationsand Calculator
Torque Applied Deformation and Stress of a Shaft with Four Keyway's Equationsand Calculator
Torque Applied Deformation and Stress of a Shaft with One Spline Equations and Calculator
Torque Applied Deformation and Stress of a Shaft with Two Splines Equations and Calculator
Torque Applied Deformation and Stress of a Shaft with Four Splines Equations and Calculator
Torque Applied Deformation and Stress of a Pinned Shaft Equations and Calculator
Torque Applied Deformation and Stress of a Two Grooved Pinned Shaft Equations and Calculator
Torque Applied Deformation and Stress of a Four Grooved Pinned Shaft Equations and Calculator
Torsional Deformation and Stress of a Cross Shaft Equations and Calculator

Pipe Stress due to Clamping Force Spreadsheet Calculator

This spreadsheet calculates the a variety of resultant engineering requirements per. Roark's Formulas for Stress and Strain, 7th edition, Table 9.2 Case 1, Pressure Vessel Design Manual, 3rd Edition, ASME B31.1-2006

Thin Wall Pressure Vessel Hoop Stress Hoop stress is twice that of the longitudinal stress for a thin wall pressure vessel. Therefore, the Hoop stress should be the driving design stress.
Thin Wall Pressure Vessel Longitudinal Stress Longitudinal Stress in a thin wall pressure vessel use the following calculator
Loading W applied at θ relative to x angle. Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #2.
Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #3.
Loading moment applied Mo at θ relative to x angle. Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #3.
Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #5.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #6.
Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #6.
Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #7. Ring under any number of equal radial forces equally spaced. Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #7. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #8. Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #8. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator. Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #9. Formulas for moments, loads, and deformations and some selected numerical values.

Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #10 Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #10. Formulas for moments, loads, and deformations and some selected numerical values.

Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #11. Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #11. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #12. Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #12. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #13. Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms # 13. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #14. Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #14. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Analysis No 15 Roark'sFormulas for Stress and Strain Equations and Calculator Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Analysis No 16 Roark'sFormulas for Stress and Strain Equations and Calculator. Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms.
Formulas for moments, loads, and deformations and some selected numerical values. Unit axial segment of pipe filled with liquid of weight per unit volume ρ and supported at the base.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #17. Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values. Unit axial segment of pipe partly filled with liquid of weight per unit volume ρ and supported at the base.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #18 Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #19. Per. Roark's Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #20. Per. Roark's Formulas for Stress and Strain Formulas Section 9, Reference, loading, and load terms #20. Bulkhead or supporting ring in pipe, supported at bottom and carrying total load W transferred by tangential shear v distributed as shown.
Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #21 Per. Roark'sFormulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values. Ring rotating at angular rate ω rad/s about an axis perpendicular to the plane of the ring. Note the requirement of symmetry of the cross section.
Steel W & S Flange Beam and Column Analysis / Code Check Calculator Calculator and linked equations will determine the column loading and applied stress for AISC wide, narrow and other flange structural sections.
Punching Shear/Conductor Modification Analysis
Torsion Stress Calculator and Equations Torsion is the twisting of an object due to an applied torque . It is expressed in newton meters (N·m) or foot-pound force (ft·lbf).
The Shaft Design Book (Design Charts and Calculations for Torsional Properties of Non-Circular Shafts) Premium Membership Required
Bolt or Pin Single Shear Equation and Calculator Bolt or Pin In Single Shear Equation and Calculator. Keep units consistent when performing calculations.
Dowel Pin Design Length Shear Stress and Contact Pressure Check Equations and Calculator
Bolt or Pin Double Shear Equation and Calculator Double Shear Equation and Calculator. Keep units consistent when performing calculations
Bolt Single and Double Shear and Tension Stress Analysis Calculator per AISC bolt stress in tension and shear per AISC 9th Edition Manual (ASD)
Bolt Elongation Equation and Calculator while under Axial Stress
Method and Equations of Analysis BS449: Part 2
Bearing Strength of a Pin in a Drilled Hole Spreadsheet Calculator
Analysis of Stress and Deformation, George W. Housner, Thad Vreeland, Jr., Division of Engineering and Applied Science, California Institute

Stress Concentration Factors for Flat Plates and Cylinders: In a structure or machine part having a notch or any abrupt change in cross section, the maximum stress will occur at this location and will be greater than the stress calculated by elementary formulas based upon simplified assumptions as to the stress distribution.

Channel Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #1a. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

C-Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #2 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Hat Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #3 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Twin Channel With Flanges Inward Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #4 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Twin Channel With Flanges Outward Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #5 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Wide Flange with Equal Flanges Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #6 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading.

Wide Flange Beam with Unequal Flanges Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #7 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Z-Section Flange Beam with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #8 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Segment of a Circular Tube Beam with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #9 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Row 9.

Missing Segment Rectangular Tube Section with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #10 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Row 10.

Double Y Section with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #11 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark's Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Row 11.

Channel Section with Left end free to twist and warp right end fixed (no twist or warp) Deflection and Stress Equations and Calculator.
Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roark's Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Loading Configuration 1b.

C-Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #2 of 1b Loading .
Formulas for the elastic deformations of uniform thin-walled open members under torsional loading.

Per. Roark'sFormulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.

Stress Analysis Manual Premium Membership Required
Beam Deflection and Stress Excel Spreadsheet Calculator - Premium (annual) membership required

Double Integration Method for Beam Deflections Overview

The Double Integration Method, also known as Macaulay’s Method is a powerful tool in solving deflection and slope of a beam at any point

Double Integration Method Example 1 Simply Supported Beam with Concentrated Load at Mid Span
Double Integration Method Example 3 Proof Cantilevered Beam of Length L with Variable Increasing Load to ωo at free end.
Deflection and Stresses in Uniformly Loaded, Simply Supported, Rectangular Sandwich plate - Premium membership required
Bending of a Circular Sandwich Plate by Load Applied Through an Insert - Premium membership required
Metal Fatigue Engineering Analysis Excel Spreadsheet Calculator Note: Accessing this resource requires an active Premium Annual Membership with Engineers Edge