A short, cantilevered round peg is 40 mm in diameter and extends 10 mm from the wall. It is loaded, as shown, with a force F = 50 kN applied at the tip in the negative z direction, and a torque T = 800 N-m. The cross section at the wall is also shown, with points of interest A, B, and C. (a) Sketch the stress elements at points 4, B. and C. Calculate the magnitudes of the stresses acting on the stress elements. Do not neglect transverse shear stress. (b) Find the maximum shear stresses (i.e. from Mohr's circle) for the stress elements at A. B, and C. (c) Assuming the critical stress element is the one with the largest maximum shear stress from part (b), which point is critical?
A short, cantilevered round peg is 40 mm in diameter and extends 10 mm from the wall. It is loaded, as shown, with a force F = 50 kN applied at the tip in the negative z direction, and a torque T = 800 N-m. The cross section at the wall is also shown, with points of interest A, B, and C. (a) Sketch the stress elements at points 4, B. and C. Calculate the magnitudes of the stresses acting on the stress elements. Do not neglect transverse shear stress. (b) Find the maximum shear stresses (i.e. from Mohr's circle) for the stress elements at A. B, and C. (c) Assuming the critical stress element is the one with the largest maximum shear stress from part (b), which point is critical?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A short, cantilevered round peg is 40 mm in diameter and extends 10 mm from the wall. It is loaded, as shown, with a
force F = 50 kN applied at the tip in the negative z direction, and a torque T = 800 N-m. The cross section at the wall
is also shown, with points of interest A. B, and C.
(a) Sketch the stress elements at points A, B. and C. Calculate the magnitudes of the stresses acting on the
stress elements. Do not neglect transverse shear stress.
(b) Find the maximum shear stresses (i.e., from Mohr's circle) for the stress elements at A. B, and C.
(c) Assuming the critical stress clement is the one with the largest maximum shear stress from part (b), which point is
critical?
10 mm
A
B
Cross section
at the wall
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