   Chapter 4, Problem 4.187RP ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
ISBN: 9781305501607
Textbook Problem

# Determine the forces in members GH, BH, and BC of the truss. To determine

Force in members GH, BH and BC.

Explanation

Given information:

To determine the forces on above mechanism:

We use method of sections.

Here we have three unknowns.

Therefore three independent equations need to be used to find unknown 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 section

Assume NA as the reaction force at point A and Ex,Ey as the reaction force components at point E.

The above truss is symmetrical.

Therefore

NA=Ey=40kN

FBD of truss left of section a-a

Assume PGH,PBH,PBC as the forces on member GH, BH and BC respectively.

For the equilibrium of above section, the bending moment about point B is equal to zero.

MB=0

PGH(3m)+NA(4m)=0

Substitute and solve

PGH(3m)+40kN(4m)=0PGH=53.3kN

For the equilibrium of above section, the bending moment about point H is equal to zero.

MH=0

35PBC(8m)+40kN(4m)NA(8m)=0

Substitute and solve

35PBC(

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