Problem 7 EXTRA CREDIT Material A36 Steel Modulus of Elastic

Problem #7: EXTRA CREDIT Material: A-36 Steel Modulus of Elasticity: 29.0 x 103 ksi Ambient Temperature at 6:00 AM: 25°F Ambient Temperature at 3:00 PM: 75°F Coef. Of Thermal Expansion : 6.60 x 10-6/°F Cross Sectional Area: 1 in2 Determine the total deflection of point B with respect to A 4 ft 4 kips

Solution

Deflection Due to temperature = Coefficient of thermal expansion*length*change in temperature

=6.6*10^-6*4*(75-25)

=0.001320 ft.

=0.01584 inches

Deflection Due to load = (PL/AE)

=(4*4*12/1*29000)

=0.00662 inches

Total deflection = 0.01584+0.00662

=0.022461 inches