The round bar shown (Figure 1) has a diameter of 9.3 cm and a length of 6 m. The modulus of elasticity is E = 130 GPa an
Posted: Tue Apr 26, 2022 4:52 pm
The round bar shown (Figure 1) has a diameter of 9.3 cm and a length of 6 m. The modulus of elasticity is E = 130 GPa and the linear coefficient of thermal expansi 1 is 1.7x10-5 K Part A - Calculate thermal stress Learning Goal: To solve for thermal stresses in statically indeterminate bars subject to a temperature change. Most materials change in size when subjected to a temperature change. For a temperature change of a homogenous isotropic material, the change in length of a bar of length L due to a temperature change AT can be calculated as dt = QATL, where a is the linear coefficient of thermal expansion-a property of the material the bar is made from. For a member that is not constrained, this expansion can occur freely. However, if the member is statically indeterminate, the deflection is constrained. Thus, changes in temperature will induce internal thermal stresses. The compatibility condition is that the changes in length due to the temperature change and to the induced stress must cancel each NL other out, 8t +8F = 0, where dp = with N being the induced AE internal normal force, positive for tension. If the bar originally has no internal normal forces and the temperature decreases by AT = 26 K, what is the thermal stress developed in the bar? Express your answer with appropriate units to three significant figures. View Available Hint(s) o 1 μΑ ? ? = Value Units Submit Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has Q2 = 3.610-5 1 K but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT = 26 K from a temperature where there is no stress in the bar? Express your answer with appropriate units to three significant figures. View Available Hint(s) Figure < 1 of 2 > ni НА ? А B = Value Units Submit