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2. A short cantilevered round peg is 60 mm in diameter and extends 10 mm from the wall. It is loaded with a force F= 40 kN applied at the tip in the negative y direction, and a torque T= 800 N-m, as shown. The cross section at the wall is shown, with points of interest A, B, C, and D. Evaluate the potentially critical stress elements at 4, B, C, and D, by doing the following: (a) Sketch the stress elements at points A, B, C, and D. Calculate the magnitudes of the stresses acting on the stress elements. Do not neglect transverse shear. (b) Find the maximum shear stresses (i.e. from Mohr's circle) for the stress elements at A, B, C, and D. c) Assuming the critical stress element is the one with the largest maximum shear stress from part (b), which point is critical?

2. A short cantilevered round peg is 60 mm in diameter and extends 10 mm from the wall. It is loaded with a force F= 40 kN applied at the tip in the negative y direction, and a torque T= 800 N-m, as shown. The cross section at the wall is shown, with points of interest A, B, C, and D. Evaluate the potentially critical stress elements at 4, B, C, and D, by doing the following: (a) Sketch the stress elements at points A, B, C, and D. Calculate the magnitudes of the stresses acting on the stress elements. Do not neglect transverse shear. (b) Find the maximum shear stresses (i.e. from Mohr's circle) for the stress elements at A, B, C, and D. c) Assuming the critical stress element is the one with the largest maximum shear stress from part (b), which point is critical?

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.12.14P: A circular post, a rectangular post, and a post of cruciform cross section are each compressed by...
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2. A short cantilevered round peg is 60 mm in diameter and extends 10 mm from the wall. It is loaded with a force F=40 kN applied at the tip in the negative y direction, and a torque T= 800 N-m, as shown. The cross section at the wall is shown, with points of interest A, B, C, and D. Evaluate the potentially critical stress elements at A, B, C, and D, by doing the following: (а) Sketch the stress elements at points A, B, C, and D. Calculate the magnitudes of the stresses acting on the stress elements. Do not neglect transverse shear. (b) Find the maximum shear stresses (i.e. from Mohr's circle) for the stress elements at A, B, C, and D. (c) Assuming the critical stress element is the one with the largest maximum shear stress from part (b), which point is critical? 10 mm (b) |B T. Cross section at the wall Determine the minimum factor of safety based on yielding at the critical stress element according to the maximum-shear-stress theory.
Transcribed Image Text:2. A short cantilevered round peg is 60 mm in diameter and extends 10 mm from the wall. It is loaded with a force F=40 kN applied at the tip in the negative y direction, and a torque T= 800 N-m, as shown. The cross section at the wall is shown, with points of interest A, B, C, and D. Evaluate the potentially critical stress elements at A, B, C, and D, by doing the following: (а) Sketch the stress elements at points A, B, C, and D. Calculate the magnitudes of the stresses acting on the stress elements. Do not neglect transverse shear. (b) Find the maximum shear stresses (i.e. from Mohr's circle) for the stress elements at A, B, C, and D. (c) Assuming the critical stress element is the one with the largest maximum shear stress from part (b), which point is critical? 10 mm (b) |B T. Cross section at the wall Determine the minimum factor of safety based on yielding at the critical stress element according to the maximum-shear-stress theory.
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