تم الحل ✓
categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
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To determine the absolute maximum bending stress in a rectangular cross section that has a circular cutout and is subjected to unsymmetrical bending in the y- and z-
directional planes, and to determine the angles of the neutral axes established by the applied moments.
The rectangular cross section ABCD shown below has a circular cutout of diameter d = 35.0 mm through its center. The member is subjected to two externally applied
moments M₁ = 6.0 kN m and M₂ =17.0 kN·m at angles 6₁ = 35.0 degrees from the y axis in the yz plane and 02 25.0 degrees from the z axis in the yz plane,
respectively. The rectangular cross section has a height of h = 300.0 mm and a width of w = 120.0 mm.
h
B
M₁₁
2*
M2
h
2
W
To determine the absolute maximum bending stress in a rectangular cross section that has a circular cutout and is subjected to unsymmetrical bending in the y- and z-
directional planes, and to determine the angles of the neutral axes established by the applied moments.
The rectangular cross section ABCD shown below has a circular cutout of diameter d = 35.0 mm through its center. The member is subjected to two externally applied
moments M₁ = 6.0 kN m and M₂ =17.0 kN·m at angles 6₁ = 35.0 degrees from the y axis in the yz plane and 02 25.0 degrees from the z axis in the yz plane,
respectively. The rectangular cross section has a height of h = 300.0 mm and a width of w = 120.0 mm.
h
B
M₁₁
2*
M2
h
2
W
The two externally applied moments can be resolved into their respective y and z components. Determine the moments in each principal direction, M, and M., and draw the
corresponding free-body diagram.
Draw the vectors My and M, that represent the total y and z components of the two externally applied moments. Assume all angles are measured in degrees.
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M.
My
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Part C - Neutral-axis angle due to externally applied moments
The neutral-axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral-axis angle, a, due to the
externally applied moments as measured counterclockwise from the positive z axis in the yz plane.
Express your answer to three significant figures and include the appropriate units.
a= 55
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Part D - Absolute maximum stress in cross section ABCD
Determine the absolute maximum stress, max, in cross section ABCD due to the two externally applied moments.
Express the answer to three significant figures and include the appropriate units.
|σmax=
Value
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