### Engineering Statics Equations and Basics Equation and Calculator

Engineering Statics

Machine Design and Engineering

Structural Anaylsis

**Engineering Statics Basics Equations and Calculators **

**Static's 2D Force Components in XY Plane**

Preview: Static's 2D Force Components in XY Plane Calculator

F_{x} = F · cos θ_{x} = F · sin θ_{y}

F_{y} = F · sin θ_{x} = F · cos θ_{y}

F = [ F_{x}^{2} + F_{y}^{2} ]^{1/2}

tan θ_{x} = F_{y} / F_{x}

**3D Statics Components of Force**

Preview: Static 3D Force Components in XYZ Plane Calculator

F_{x} = F · cos θ_{x}

F_{y} = F · cos θ_{y}

F_{z} = F · cos θ_{z}

F = [ F_{x}^{2} + F_{y}^{2} + F_{z}^{2} ]^{1/2}

cos θ_{x} = F_{x} \ F

cos θ_{y} = F_{y} \ F

cos θ_{z} = F_{z} \ F

**Types of Supports used in Statics Free Body Diagram **

There are 5 main types of supports.

**Fixed end**- This support prevents rotation, horizontal and vertical translation. By doing so it can be determined that the support will have a moment, and a horizontal and vertical force component.

**Pinned**- The reaction forces for this support consist of a horizontal force and vertical force. This support does not have a moment because the support does not resist rotation.

**Roller**- This support only has one reaction force which is a vertical force. This support only has one reaction force because it does not resist rotation or movement in the horizontal direction.

**Link**- This support has a resultant support reaction which can consist of components vertically and horizontally.

**Rocker**- Like the roller, this support also has a single reaction force which is a vertical force because is does not resist rotation and horizontal translation.

**Trigonometry Cheat Sheet **

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