Learning Goal: 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 = 30.0 mm through its center. The member is subjected to two externally applied moments M₁ =6.0 kN·m and M₂ =17.0 kNm at angles ₁ = 35.0 degrees from the y axis in the yz plane and ₂ = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of h=200.0 mm and a width of w=115.0 mm 1222 M₁₁ M₂ B 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. ▸ View Available Hint(s) W 2 Α 1 ← ? μ Ω % A 0 a= 62.7 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. View Available Hint(s) max=51.9 MPa
Learning Goal: 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 = 30.0 mm through its center. The member is subjected to two externally applied moments M₁ =6.0 kN·m and M₂ =17.0 kNm at angles ₁ = 35.0 degrees from the y axis in the yz plane and ₂ = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of h=200.0 mm and a width of w=115.0 mm 1222 M₁₁ M₂ B 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. ▸ View Available Hint(s) W 2 Α 1 ← ? μ Ω % A 0 a= 62.7 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. View Available Hint(s) max=51.9 MPa
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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Transcribed Image Text:Learning Goal:
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 = 30.0 mm through its center. The member is subjected to two externally applied moments M₁ =6.0 kN·m and M₂ =17.0 kNm at angles ₁ = 35.0 degrees from
the y axis in the yz plane and ₂ = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of h=200.0 mm and a width of w=115.0 mm
1222
M₁₁
M₂
B
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.
▸ View Available Hint(s)
W
2
Α
1
←
?
μ Ω
%
A
0
a= 62.7
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.
View Available Hint(s)
max=51.9
MPa
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