20.2 PRACTICE PROBLEMS

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À  p

1. a) Find the forces in the tension members HK and JL below.

b) Draw the FBD and then the shear force and bending moment diagrams for the straight section of the beam from K to L.

c) Find the centroid and second moment of inertia about the centroid for the beam from K to L. The section is shown below.

d) What is the maximum compressive and tensile stresses and strains in member KL caused by shear and bending? What is the factor of safety for tensile failure if the beam is made from bronze?

e) What is the maximum stress in members HK and JL?

f) Find the tensions and compressions in members EH, DF, DG. Notice that the members analyzed in earlier parts of the problems now apply forces at pins H and J. (20%)

2. a) Find the forces in the tension members HK and JL below.

b) Draw the FBD and then the shear force and bending moment diagrams for the straight section of the beam from K to L.

c) Find the centroid and second moment of inertia about the centroid for the beam from K to L. The section is shown below.

d) What is the maximum compressive and tensile stresses and strains in member KL caused by shear and bending? What is the factor of safety for tensile failure if the beam is made from bronze?

e) What is the maximum stress in members LN and MP?

f) Find the tensions and compressions in all members. Notice that the members analyzed in earlier parts of the problems now apply forces at pins H and J.