Problem 4: For the beam and loading shown: The forces and couples shown act on the axle of an automobile. Knowing the diameter of the axle is 2 in. determine: 1) The reactions on H to the applied loads, 2) The normal stress, Ox, on point H, 3) The shear stress, Txy, on point H, 4) Draw the stress element H with the corresponding stresses, 5) Draw Mohr's circle and calculate the principal stresses. 2500 lb-in 6 in 600 b + 8 in. 600 lb H

Problem 4: For the beam and loading shown: The forces and couples shown act on the axle of an automobile. Knowing the diameter of the axle is 2 in. determine: 1) The reactions on H to the applied loads, 2) The normal stress, Ox, on point H, 3) The shear stress, Txy, on point H, 4) Draw the stress element H with the corresponding stresses, 5) Draw Mohr's circle and calculate the principal stresses. 2500 lb-in 6 in 600 b + 8 in. 600 lb H

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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Ex. 5.3 At a point in the structural member, the stresses are represented as shown below. Employ Mohr's circle to determine (a) the magnitude and orientation of the principal stresses and (b) the magnitude and orientation of the maximum shear stress and associated normal stresses. In each case, show the results on a properly oriented element. Sol. YA 40 MPa 30 MPa 80 MPa
A beam has a rectangular cross-section and is subjected to the stress the distribution is shown in Fig. a. Determine the internal moment M at the section caused by the stress distribution (a) using the flexure formula, (b) by finding the resultant of the stress distribution using basic principles.
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The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the x-y plane. F) Determine the magnitude of the absolute maximum shear stress (and include the two out of plane circles on your original figure). Use the following values for the magnitudes of the stresses: x = 0₂ Txy Ox X X 10 ksi, σy = 4 ksi, σ₂ = 3 ksi, Txy = 4 ksi
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Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 1 MPa in size. (a) Determine the stresses o, o, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses o,, Og and the magnitude of Tht and show them on a stress element that is properly rotated with respect to thex-y element. The sketch must include the magnitude of the angle between thexand n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: (a) Ox= MPа MPa Oy= MPa Txy = (b) On= MPa MPa Ot = MPa Tnt =
Convert a stress of 18,540 lb/in2 to N/m2. Show your calculations.
Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank you
3. As shown, a vertical 200 lb force is applied to the gear and shaft assembly at point D. Shaft ABC is solid and has a 0.5 in. radius. (you may use a coordinate system of your choice, as long it's correct.) y 2.5 in. 10 in. D H B Z X 200 lb a) Determine the state stress (all stresses with their indices) at point H on top of the shaft. b) Determine the principal stresses and max shear stress at point H.