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1 The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E= 130 GPa and the inear coefficient of thermal expansion is 1.4x10-5. K Part A- Calculate thermal stress If the bar originally has no internal normal forces and the temperature decreases by AT = 34 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- Value Units Submit Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has ag - 4x10 y but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT - 34 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(«) ? Value Units Submit Provide Feedback Next >

1 The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E= 130 GPa and the inear coefficient of thermal expansion is 1.4x10-5. K Part A- Calculate thermal stress If the bar originally has no internal normal forces and the temperature decreases by AT = 34 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- Value Units Submit Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has ag - 4x10 y but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT - 34 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(«) ? Value Units Submit Provide Feedback Next >

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please help me solve part Aand part B please circle only the final answers with the correct units for part a and part B
Learning Goal: To solve for thermal stresses in statically indeterminate bars subject to a temperature change. The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E- 130 GPa and the linear coefficient of thermal expansion is 1.4x10- K 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 ốr = QATL, where a is the linear coefficient of thermal expansion-a property of the material the bar is made from. Part A- Calculate thermal stress 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 If the bar originally has no internal normal forces and the temperature decreases by AT = 34 K, what is the thermal stress developed in the bar? Express your answer with appropriate units to three significant figures. NL with N being the AE must cancel each other out, &r + 8p = 0, where 6p = • View Available Hint(s) induced internal normal force, positive for tension. ? Value Units Submit • Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has az = 4x108 1 - but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT - 34 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) HÀ ? Figure 1 of 2 > o= Value Units A B Submit Provide Feedback Next >
Transcribed Image Text:Learning Goal: To solve for thermal stresses in statically indeterminate bars subject to a temperature change. The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E- 130 GPa and the linear coefficient of thermal expansion is 1.4x10- K 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 ốr = QATL, where a is the linear coefficient of thermal expansion-a property of the material the bar is made from. Part A- Calculate thermal stress 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 If the bar originally has no internal normal forces and the temperature decreases by AT = 34 K, what is the thermal stress developed in the bar? Express your answer with appropriate units to three significant figures. NL with N being the AE must cancel each other out, &r + 8p = 0, where 6p = • View Available Hint(s) induced internal normal force, positive for tension. ? Value Units Submit • Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has az = 4x108 1 - but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT - 34 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) HÀ ? Figure 1 of 2 > o= Value Units A B Submit Provide Feedback Next >
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