Part B - Moments of inertia of the cross section with respect to the y- and z-axesTo calculate the absolute maximum bending stress in the member using the flexure formula for unsymmetrical bending, the moments of inertia of the cross section must be calculated. Select the correct formulas for these values.Iy=?Part C - Neutral-axis angle due to externally applied momentsThe 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, α, 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.α=?Part D - Absolute maximum stress in cross section ABCDDetermine the absolute maximum stress, |σmax|, in cross section ABCD due to the two externally applied moments.|σmax|=? PartA - Free-body diagram of the resolved components of the momentsThe two externally applied moments can be resolved into their respective y and z components. Determine the moments in each principal direction, My and Mz, 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.• View Available Hint(s)No elements selectedSelect the elernents from the list and add them to the canvas setting the appropriate attributes. 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 bythe applied moments.The rectanqular cross section ABCD shown below has a circular cutout of diameter d = 40.0 mm through its center. The member is subjected to two externally applied moments M, = 6.0 kN - m and M, =17.0 kN - m at angles 8, = 35.0degrees from the y axis in the yz plane and 62 = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of k = 250.0 mm and a width of w = 85.0 mm .hВ2M, 6M22w2

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Answered: Part B - Moments of inertia of the…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.41P: The length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and...

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Part B - Moments of inertia of the cross section with respect to the y- and z-axes
To calculate the absolute maximum bending stress in the member using the flexure formula for unsymmetrical bending, the moments of inertia of the cross section must be calculated. Select the correct formulas for these values.

Iy=?

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, α, 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.

α=?

Part D - Absolute maximum stress in cross section ABCD
Determine the absolute maximum stress, |σmax|, in cross section ABCD due to the two externally applied moments.

|σmax|=?

PartA - Free-body diagram of the resolved components of the moments
The two externally applied moments can be resolved into their respective y and z components. Determine the moments in each principal direction, My and Mz, 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.
• View Available Hint(s)
No elements selected
Select the elernents from the list and add them to the canvas setting the appropriate attributes.

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 rectanqular cross section ABCD shown below has a circular cutout of diameter d = 40.0 mm through its center. The member is subjected to two externally applied moments M, = 6.0 kN - m and M, =17.0 kN - m at angles 8, = 35.0
degrees from the y axis in the yz plane and 62 = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of k = 250.0 mm and a width of w = 85.0 mm .
h
В
2
M, 6
M2
2
w
2

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