Wednesday, March 19, 2008

Structural Analysis - Day 1 - Questions

1. A straight beam 150 ft long is installed when the temperature is 40°F. It is support so that only 0.5 in expansion is allowed. Lateral support prevents buckling. If the temperature increases to 100°F – Find the compressive stress in the member.

2. A cantilever beam is 7 ft long. The cross section is 5.5 in wide and 4.5 in deep. E = 1.5x10^6 psi. There are two concentrated: 150 lbf forces 1 ft from the free end and 100 lbf 2 feet from the free end. Find the tip deflection.

3. A steel truss as shown below has R1 pinned and R2 is a roller. The length to Area ratio for each member is 45 in^(-1) E of steel is 29,000 ksi. Find the vertical deflection where the load is applied.

4. A bimetallic spring is constructed of aluminum with a ¼ in by 2 in cross section bonded on top of a 1/8 in by 2 in steel strip. E of aluminum = 10,000 psi, E of steel is 30,000 psi. Find the equivalent all aluminum centroidal area moment of inertia of the cross section.

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