MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 8.2, Problem 21P
Also, plot the normal-stress distribution over the cross section.
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Calculate non-zero stress components (normal and shear) at points A, B
and C. Point C is located at the center of the cross section attached to
the wall. Calculate non-zero strain components at point B.
Neglect shear stress due to shear force.
Given:
loading F
=
400 N, P-2000 N, and T = 75 N·m,
Young's modulus E = 70 GPa, Poisson's ratio v = 0.25
15-mm D.
-100 mm
Derive the relationship between critical resolved shear stress and disloca-
tion density given below
Terss = To + AVPD
Calculate the stresses on the given round hollow frame.
Chapter 8 Solutions
MECHANICS OF MATERIALS
Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - The thin-walled cylinder can be supported in one...Ch. 8.1 - If the inner diameter of the tank is 22 in., and...Ch. 8.1 - Prob. 5PCh. 8.1 - 88. The steel water pipe has an inner diameter of...Ch. 8.1 - The steel water pipe has an inner diameter of 12...Ch. 8.2 - Fundamental Problems F81. Determine the normal...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the state of stress at point A on the...
Ch. 8.2 - Determine the magnitude of the load P that will...Ch. 8.2 - Determine the state of stress at point B. Show the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - The plate has a thickness of 20 mm and P acts...Ch. 8.2 - Plot the distribution of normal stress acting...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - Determine the stress components at point A on the...Ch. 8.2 - Determine the stress components at point B on the...Ch. 8.2 - If it is subjected to the force system shown,...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - He is supported uniformly by two bars, each having...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - The pins at C and D are at the same location as...Ch. 8.2 - If the force at the ram on the clamp at D is P= 8...Ch. 8.2 - Determine the maximum ram force P that can be...Ch. 8.2 - and an outer radius of 3.00 in. If the face of the...Ch. 8 - If it supports a cable loading of 800 lb,...Ch. 8 - Determine the state of stress at point E on the...Ch. 8 - Determine the state of stress at point F on the...Ch. 8 - The suspender arm AE has a square cross-sectional...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...Ch. 8 - and is used to support the vertical reactions of...Ch. 8 - and is used to support the vertical reactions of...
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- Draw Mohr's circle for the state of stress defined by 01= 80 MPa, o2 = -20 MPa and t12= 40 MPa. (1 points) %3Darrow_forwardPlot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?arrow_forward10 The stress components at a point are given by: Ox = Oy = 0z = 50 MPa, try = 10, tv = 20, t = 15 MPa. %3D Calculate the strain components. Take E = 200 GPa and v = 0-30. %3D %3Darrow_forward
- The book is subjected to the force of 60 lb Determine the state of stress at point A at section a-a. The cross section is circular and has a diameter of 0.5 in. Use the curved-beam formula to compute the bending stress (Figure 1) Figure 1.5 in. 13 45° B 1 of 1 > ▾ Part A Determine the normal stress. Express your answer using three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. g= Value Submit Part B ← A psi Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ✓ Correct < Return to Assignment Ċ 129 ? Determine the shear stress Express your answer using three significant figures and include the appropriate units. T= 0 psi Previous Answers Provide Feedbackarrow_forward69. A disc of 600 mm diameter and uniform thickness is rotating at 3000 rpm. Calculate the maximum stress developed in the disc. If a hole of 100 mm dianmeter is drilled at the centre of the disc, then determine maximum radial and hoop stresses developed. Take vs 0-28 and p = 7800 kg/m.arrow_forwardConstruct a Mohr's circle for the following point stresses: ox = 60MPa, oy = 10MPa and Txy = +20MPa, and hence determine the stress components and planes in which the shear stress is a maximum.arrow_forward
- A differential stress element has the following stress components: Ox = 20 ksi, y = -10 ksi, Txy = -5 ksi.arrow_forward1) The curve of stress versus time on the cross section of engine connecting rod is shown in the following Fig. omax = 78.61N/ mm²,0, =-10.75N/ mm² . min Calculate: Mean stress om; Alternating stress oa; Stress ratio y. 78.61 -10. 75,arrow_forwardThe wide-flange beam is subjected to the P = 54 kN force. Determine the principal stresses in the beam at point A located on the web at the bottom of the upper flange. Although it is not very accurate, use the shear formula to calculate the shear stress. (Figure 1)arrow_forward
- A member is subjected to a major stress of 110 MPa (tensile), minor stress of 40 MPa (tensile) along with a counter clockwise shear stress of 30 MPa. Calculate the Normal stress, tangential stress, Resultant stress and its inclination on plane make 20 to major stress. Validate your analytical results by drawing Mohr’s circle. i) Normal Stress (unit is MPa) = (ii) Tangential Stress (unit is MPa) = ) Resultant Stress (unit is MPa) Resultant inclination (unit in degree) =arrow_forward1) Determine the principal stresses at point A on the cross-section of the wrench at section a-a. 2) Specify the orientation for this state of stress. 3) Determine maximum in-plane shear stress at point A� on the cross-section of the wrench at section a-a. 4) Specify the orientation for this state of stress.arrow_forwardZ y q 0.3m 4.25 kN 5 KN 0.4m 100 KN 100 KN 3.0 kN m 0.1m 2 kN 2,00 KN 200 KN X This stainless steel beam has a circular cross section and a diameter of 7 centemeter. Find the axial, torsional, bending and transverse shear stresses at the four critical points (top, bottom, left and right) of the central cross section. Draw the stress state cubes and then represent them as plane stress statesarrow_forward
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Understanding Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license