Concept explainers
The structure is supported by a pin at C and a cable attached to A. The cable runs over the small pulley D. Find the internal force systems acting on sections 1 and 2.
Internal force system acting on section 1 and 2
Answer to Problem 6.15P
The horizontal force
The vertical force
The bending moment
The horizontal force
The vertical force
The bending moment
Explanation of Solution
Given information:
If all external forces are known, we can use equilibrium analysis to find internal forces.
Steps to follow in the equilibrium analysis of a body are:
1. Draw the free body diagram.
2. Write the equilibrium equations.
3. Solve the equations for the unknowns.
Calculation:
FBD of entire body
Assume
For the equilibrium of entire section, the bending moment about point C is equal to zero.
FBD of section 1
Assume
For the equilibrium of section AB, the bending moment about point B is equal to zero.
Write equilibrium equation in horizontal direction.
Write equilibrium equation in vertical direction.
FBD of section 2
Assume
For the equilibrium of section AB, the bending moment about point B is equal to zero.
Write equilibrium equation in horizontal direction.
Write equilibrium equation in vertical direction.
Conclusion:
The horizontal force
The vertical force
The bending moment
The horizontal force
The vertical force
The bending moment
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Chapter 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L