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Consider the structure shown in Figure 1. A 1-meter long bar (L = 1 m) of constant cross-sectional area of A = 2.027 × 10-3 m² is made up of two materials. The material 1 is on the left side and is 0.7 m long; the material 2 is on the right side and is a = 0.3 m long. Materials are perfectly bonded at their interface. The structure is constrained at either end by two vertical rigid walls. It is stress- free prior to application of mechanical (F) or thermal (AT) loads. The properties of each material are given as: E, = 200 × 10° Pa, a, = 11 x 10-6/°C, E, = 70 × 10° Pa, a, = 23 × 10-6/°C. Solve for the reaction forces at either end of the bar as well as the internal forces in each bar for the following two independent conditions:

Consider the structure shown in Figure 1. A 1-meter long bar (L = 1 m) of constant cross-sectional area of A = 2.027 × 10-3 m² is made up of two materials. The material 1 is on the left side and is 0.7 m long; the material 2 is on the right side and is a = 0.3 m long. Materials are perfectly bonded at their interface. The structure is constrained at either end by two vertical rigid walls. It is stress- free prior to application of mechanical (F) or thermal (AT) loads. The properties of each material are given as: E, = 200 × 10° Pa, a, = 11 x 10-6/°C, E, = 70 × 10° Pa, a, = 23 × 10-6/°C. Solve for the reaction forces at either end of the bar as well as the internal forces in each bar for the following two independent conditions:

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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This question was answered for me but the second answer is not clear how he/she got 0.55 and 0.45 for the rods.

Consider the structure shown in Figure 1. A 1-meter long bar (L = 1 m) of constant cross-sectional area of A = 2.027 × 10-3 m² is made up of two materials. The material 1 is on the left side and is 0.7 m long; the material 2 is on the right side and is a = 0.3 m long. Materials are perfectly bonded at their interface. The structure is constrained at either end by two vertical rigid walls. It is stress- free prior to application of mechanical (F) or thermal (AT) loads. The properties of each material are given as: E, = 200 × 10° Pa, a, = 11 x 10-6/°C, E, = 70 × 10° Pa, a, = 23 × 10-6/°C. Solve for the reaction forces at either end of the bar as well as the internal forces in each bar for the following two independent conditions:
Transcribed Image Text:Consider the structure shown in Figure 1. A 1-meter long bar (L = 1 m) of constant cross-sectional area of A = 2.027 × 10-3 m² is made up of two materials. The material 1 is on the left side and is 0.7 m long; the material 2 is on the right side and is a = 0.3 m long. Materials are perfectly bonded at their interface. The structure is constrained at either end by two vertical rigid walls. It is stress- free prior to application of mechanical (F) or thermal (AT) loads. The properties of each material are given as: E, = 200 × 10° Pa, a, = 11 x 10-6/°C, E, = 70 × 10° Pa, a, = 23 × 10-6/°C. Solve for the reaction forces at either end of the bar as well as the internal forces in each bar for the following two independent conditions:
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