Engineering Statics Equations and Basics Equation and Calculator

Related Resources: Statics

Engineering Statics Basics Equations and Calculators

Static's 2D Force Components in XY Plane

Statics Force Components in XY Plane

F_x = F · cos θ_x = F · sin θ_y

F_y = F · sin ⁡θ_x = F · cos ⁡θ_y

F = [ F_x² + F_y² ]^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_x² + F_y² + F_z² ]^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.

Statics Types of Supports

Trigonometry Cheat Sheet

Trigonometry Cheat Sheet