1-A solid axial member which is made from three parts with different materials (sections 1 and 3) is loaded and supported as shown in the Figure 1. Segments (1) has a diameter of 30 segment (2) has a diameter of 20 mm and segment (3) has a diameter of 25 mm. For the El modulus of segments please follow the table 1. (1) 1.1 m B P = 40 kN 1.3 m (2) C P = 10 kN 0.7 m

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.6P: Three prismatic bars, two of material A and one of material B. transmit a tensile load P (see...
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1- A solid axial member which is made from three parts with different materials (sections 1,2,
and 3) is loaded and supported as shown in the Figure 1. Segments (1) has a diameter of 30 mm,
segment (2) has a diameter of 20 mm and segment (3) has a diameter of 25 mm. For the Elastic
modulus of segments please follow the table 1.
(1)
1.1 m
B
P = 40 kN
1.3 m
(2)
P= 10 kN
0.7 m
(3)
P = 20 kN
Figure 1
Table 1
Surname starting (A-M)
E, = 200 GPa
E2 = 100 GPa
E = 80 GPa
Surname starting (N-Z)
E, = 100 GPa
E = 80 GPa
E = 200 GPa
(i) determine the deformation of segment (2).
(ii) determine the deflection of joint D with respect to the fixed support at A.
(iii) calculate the maximum normal stress in the entire axial member.
(iv) What type of changes the design do you suggest to reduce the deflection on joint D
calculated in section (ii). Explain your answer.
Transcribed Image Text:1- A solid axial member which is made from three parts with different materials (sections 1,2, and 3) is loaded and supported as shown in the Figure 1. Segments (1) has a diameter of 30 mm, segment (2) has a diameter of 20 mm and segment (3) has a diameter of 25 mm. For the Elastic modulus of segments please follow the table 1. (1) 1.1 m B P = 40 kN 1.3 m (2) P= 10 kN 0.7 m (3) P = 20 kN Figure 1 Table 1 Surname starting (A-M) E, = 200 GPa E2 = 100 GPa E = 80 GPa Surname starting (N-Z) E, = 100 GPa E = 80 GPa E = 200 GPa (i) determine the deformation of segment (2). (ii) determine the deflection of joint D with respect to the fixed support at A. (iii) calculate the maximum normal stress in the entire axial member. (iv) What type of changes the design do you suggest to reduce the deflection on joint D calculated in section (ii). Explain your answer.
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