Questions 1-5 relate to the structure shown in A material element located at a critical point of a machine component is Figure 1. The component is made of steel with Oyield 320MPa. Consider the 2D stress state shown in Figure 1, and use Mohr's circle to answer the following questions. 100 MPa 50 MPa 100 MPa

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.7.10P: Three round, copper alloy bars having the same length L but different shapes are shown, in the...
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I’m struggling with questions q1 2 3 4 5
Questions 1-5 relate to the structure shown in Figure 1.
A material element located at a critical point of a machine component is loaded as shown in
Figure 1. The component is made of steel with Gyield-320MPa. Consider the 2D stress state shown
in Figure 1, and use Mohr's circle to answer the following questions.
100 MPa
1) Determine the maximum shear stress.
A.
50 MPa
B.
100 MPa
C.
112 MPa
D.
124 MPa
E. 200 MPa
2) Determine the maximum principal stress.
100 MPa
112 MPa
124 MPa
A.
B.
C.
D. 200 MPa
E. 224 MPa
Figure 1.
50 MPa
100 MPa
3) What is the safety factor with respect to yield according to the maximum shear stress (Tresca)
criterion?
A. 1.4
B. 1.5
C. 1.8
D.
2
E. 2.3
4) What is the orientation of the maximum principal stress with respect to the o, plane?
7.2°
A.
B. 13.3°
C. 18.5°
D. 26.6°
E. 31.7°
Transcribed Image Text:Questions 1-5 relate to the structure shown in Figure 1. A material element located at a critical point of a machine component is loaded as shown in Figure 1. The component is made of steel with Gyield-320MPa. Consider the 2D stress state shown in Figure 1, and use Mohr's circle to answer the following questions. 100 MPa 1) Determine the maximum shear stress. A. 50 MPa B. 100 MPa C. 112 MPa D. 124 MPa E. 200 MPa 2) Determine the maximum principal stress. 100 MPa 112 MPa 124 MPa A. B. C. D. 200 MPa E. 224 MPa Figure 1. 50 MPa 100 MPa 3) What is the safety factor with respect to yield according to the maximum shear stress (Tresca) criterion? A. 1.4 B. 1.5 C. 1.8 D. 2 E. 2.3 4) What is the orientation of the maximum principal stress with respect to the o, plane? 7.2° A. B. 13.3° C. 18.5° D. 26.6° E. 31.7°
5) Determine the tensile stress on a plane 20° clockwise from the 0x
plane.
A.
B.
C.
D.
E.
11.3 MPa
22.8 MPa
33.2 MPa
44.5 MPa
55.7 MPa
Transcribed Image Text:5) Determine the tensile stress on a plane 20° clockwise from the 0x plane. A. B. C. D. E. 11.3 MPa 22.8 MPa 33.2 MPa 44.5 MPa 55.7 MPa
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