Elastic Frame Ends Fixed Formulas and Calculator 
Reaction and deflection formulas and calculator for inplane loading of elastic frame with mounting ends fixed Case 5a formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5a 

Two Gears Sprocket Speed and Gear Ratio Equation and Calculator 
Two Gear or Sprocket Speed and Gear Ratio Equation and Calculator. Pinion Gear definition: A pinion is a round gear  usually the smaller of two meshed or chained together gears used in many applications and is the gear that drives or provides power to the gear train system. 

CSection No. 2 of 1b Loading Concentrated Intermediate Torque applied Deflection and Stress Equatio 
CSection with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #2 of 1b Loading .
Loading configuration left end free to twist and warp right end fixed (no twist or warp). Formulas for the elastic deformations of uniform thinwalled open members under torsional loading.
Per. Roarks Formulas for Stress and Strain  Formulas for torsional properties and stresses in thinwalled open cross sections, Table 10.2. 

Double Y Section with Concentrated Intermediate Torsional Loading Per. Roarks Formulas 
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 thinwalled open members under torsional loading. Per. Roarks Formulas for Stress and Strain  Formulas for torsional properties and stresses in thinwalled open cross sections, Table 10.2, Row 11. 

ZSection Flange Beam Intermediate Torsional Loading Equations and Calculator 
ZSection 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 thinwalled open members under torsional loading. Per. Roarks Formulas for Stress and Strain  Formulas for torsional properties and stresses in thinwalled open cross sections, Table 10.2. 

Channel Section with Left End Free to Twist Right End Fixed Equations and Calculator 
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 thinwalled open members under torsional loading. Per. Roarks Formulas for Stress and Strain Formulas for torsional properties and stresses in thinwalled open cross sections, Table 10.2, Loading Configuration 1b. 

