WORLD FOR CIVIL

Topic 3.84: Thermal Stress, Strain & Deformation - Topic Examination

The following values will be needed for the problems below
Linear coefficient of Expansion:
_Steel = 6.5 x 10^-6/^oF; _Aluminum = 13 x 10^-6/^oF ; _Brass = 11 x 10^-6/^oF; _concrete = 11 x 10^-6/^oF
Young's Modulus:
E_Steel = 30 x 10 ⁶ lb/in²; E_Aluminum = 10 x 10 ⁶ lb/in²; E_Brass = 15 x 10 ⁶ lb/in²; E_Concrete = 5 x 10 ⁶ lb/in²

1. In the structure shown member ABCD is pinned to the wall at point A, and supported by a brass member, BE, and by a steel member, CF. Both BE and CF have cross sectional areas of .5 in². The structure is initially unstressed and then experiences a temperature increase of 50 degrees Celsius.
For this structure:

A. Draw a Free Body Diagram showing all support forces and loads.
B. Determine the axial stress that develops in brass member BE.
C. Determine the resulting movement of point D.
(Select Solution Problem 1 for solution)

2. In the structure shown the L-shaped member BCD is supported by Steel rod AB and Aluminum member DE, and pinned at point C, as shown. Member DE has a cross sectional area of 1 in² and member AB has a cross sectional area of .5 in². The structure is initially unstressed and then experiences a temperature decrease of 60 degrees Celsius.
For this structure:

A. Draw a Free Body Diagram showing all support forces and loads
B. Determine the axial stress that develops in steel rod AB.
C. Determine the resulting movement of point D.
(Select Solution Problem 2 for solution)