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Eval Exam 1 Solutions: Mechanics of Materials & Structural Analysis

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7/10/2023
EVAL EXAM SOLUTIONS
Eval Exam 1
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SITUAION 5. A 50mm diameter shaft is
transmitting a torque of T = 2.4kN-m
and a tensile force P = 125kN
13. Determine the maximum tensile
stress of the shaft in MPa.
A. 64
B. 135
C. 98
D. 71
14. Determine the maximum compressive
stress of the shaft in MPa.
A. 64
B. 135
C. 98
D. 71
15. Determine the maximum shear
stress of the shaft in MPa.
A. 68
B. 98
C. 103
D. 83
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Situation.
The towers at the opposite side of the river
supports the load W = 50kN as shown. The
distance L = 20m and the sag d = 1.5m.
22. At what distance from A should the load be
positioned such that the tensions in AC and BC are
equal?
A. 5m
B. 15m
C. 10m
D. 12m
23. If x1 = 5m, what is the tension in segment BC?
A. 130.50kN
B. 128.36kN
C. 120.45kN
D. 125.62kN
24. If x1 = 5m, what is the total length of the cable?
A. 20.375m
B. 21.025m
C. 20.295m
D. 20.985m
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SITUATION 9. A truck with axle loads W1 = 19.6kN and W2 = 78.6kN on a wheel base d = 4.3m rolls
across the beam shown in the figure. Determine the following:
25. The maximum positive moment that can be developed in the beam.
A. 524.98kNm
C. 498.78kNm
B. 384.33kNm
D. 452.12kNm
26. The maximum negative moment that can be developed in the beam in kNm.
A. 58.8
C. 235.8
B. 204.4
D. 263.2
27. The maximum negative shear that can be developed in the beam.
A. 105.87kN
C. 76.35kN
B. 94.37kN
D. 82.84kN
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SITUATION 10. The stresses on an elements is
represented by the Mohr’s Circle shown in the figure.
Determine the following:
28. The maximum normal stress
A. 105.511MPa
C. 104.825MPa
B. 114.283MPa
D. 104.283MPa
29. The minimum normal stress
A. 25.175MPa
C. 25.717MPa
B. 15.717MPa
D. 34.489MPa
30. The maximum shearing stress
A. 46.235MPa
C. 44.283MPa
B. 35.511MPa
D. 39.825MPa
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