Mechanical Engineering  >  Engineering Mechanics  >  Free Body Diagrams

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Document Description: Free Body Diagrams for Mechanical Engineering 2022 is part of Engineering Mechanics preparation. The notes and questions for Free Body Diagrams have been prepared according to the Mechanical Engineering exam syllabus. Information about Free Body Diagrams covers topics like and Free Body Diagrams Example, for Mechanical Engineering 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Free Body Diagrams.

Introduction of Free Body Diagrams in English is available as part of our Engineering Mechanics for Mechanical Engineering & Free Body Diagrams in Hindi for Engineering Mechanics course. Download more important topics related with notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Mechanical Engineering: Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering
1 Crore+ students have signed up on EduRev. Have you?

Equilibrium of Bodies in 3D space

  • Draw the FBD
  • Equations of equilibrium are given by

 

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

 

  • 6 scalar equations are required to express the conditions for the equilibrium of a rigid body in the general three dimensional case.

∑Fx = 0  ∑Fy = 0  ∑Fz = 0
∑Mx = 0 ∑My = 0 ∑Mz = 0 

  • 6 unknown reactions can be solved for.

Some unknown reactions in 3D: 

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

 

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

 

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering
Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

 

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering
Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

 

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Examples 4.7

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Given W = Ladder + Person 

= 100 * 9.81 = 981 N

The wheels at A & B are flanged while the wheel at C is unflanged.

Determine reactions at A, B and C

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Example 4.8

Given W = 270 lbs

Determine 

  • Tensions in AE and BD.
  • Reactions at A.

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Example 4.9

Given mass of the cover: 30 kg Assume no axial reaction at B.

Find Tension in CD and reactions at A & B.

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Example 4.10

Given W = 450 lb.

Find 

  • Location of G so that the tension EG is minimum
  • This minimum value of tension

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical EngineeringFree Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering  

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

The document Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering is a part of the Mechanical Engineering Course Engineering Mechanics.
All you need of Mechanical Engineering at this link: Mechanical Engineering

Related Searches

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

,

MCQs

,

past year papers

,

Free

,

video lectures

,

Previous Year Questions with Solutions

,

practice quizzes

,

shortcuts and tricks

,

Viva Questions

,

Exam

,

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

,

mock tests for examination

,

Free Body Diagrams Notes | Study Engineering Mechanics - Mechanical Engineering

,

pdf

,

Objective type Questions

,

ppt

,

Extra Questions

,

Important questions

,

Summary

,

Semester Notes

,

Sample Paper

,

study material

;