MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Textbook Question
Chapter 9.3, Problem 20P
The stress along two planes at a point is indicated. Determine the normal stresses on plane b–b and the principal stresses.
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The internal loadings at a section of the beam are shown. Determine the in-plane principal stresses at point A. Also, compute the maximum in-plane shear stress at this point.
if the maximum and minimum principal stresses at a point are (27 Mpa) and (5 Mpa) respectively.
The maximum shear stress at this point is
For the structure shown, determine the following:
a. The normal and shear stresses in section
(ksi)
b. The maximum normal stress in member BC (ksi)
c. The maximum bearing stress on member AB (ksi)
Pins A & C have a diameter of 34 in while pin B has a diameter of ½ in. Both members have a thickness of
0.4 in. There are two support plates at A.
1.5 in.
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60°
8 ft
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A
Chapter 9 Solutions
MECHANICS OF MATERIALS
Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Also, find the corresponding orientation of the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the maximum principal stress at point B.Ch. 9.3 - Determine the principal stress at point C.Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Solve Prob.99 using the stress transformation...Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Determine the equivalent state of stress on an...
Ch. 9.3 - The stress along two planes at a point is...Ch. 9.3 - The state of stress at a point in a member is...Ch. 9.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 9.3 - The internal loadings at a section of the beam are...Ch. 9.3 - Solve Prob.925 for point B. 925. The internal...Ch. 9.3 - Solve Prob.925 for point C. 925. The internal...Ch. 9.3 - It is subjected to a torque of 12 kip in. and a...Ch. 9.3 - A paper tube is formed by rolling a cardboard...Ch. 9.3 - Solve Prob.931 for the normal stress acting...Ch. 9.3 - Determine the principal stresses in the...Ch. 9.3 - The shaft has a diameter d and is subjected to the...Ch. 9.4 - Use Mohrs circle to determine the normal stress...Ch. 9.4 - Also, find the corresponding orientation of the...Ch. 9.4 - Draw Mohrs circle and determine the principal...Ch. 9.4 - Determine the principal stresses at a point on the...Ch. 9.4 - Determine the principal stresses at point A on the...Ch. 9.4 - Point A is just below the flange.Ch. 9.4 - Mohrs circle for the state of stress is shown in...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine the equivalent state of stress if an...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - Draw Mohrs circle trial describes each of the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - The grains of wood in the board make an angle of...Ch. 9.4 - A spherical pressure vessel has an inner radius of...Ch. 9.4 - The cylindrical pressure vessel has an inner...Ch. 9.4 - If the box wrench is subjected to the 50 lb force,...Ch. 9.4 - If the box wrench is subjected to the 50-lb force,...Ch. 9.5 - Draw the three Mohrs circles that describe each of...Ch. 9.5 - Draw the three Mohrs circles that describe the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - The solid shaft is subjected to a torque, bending...Ch. 9.5 - The frame is subjected to a horizontal force and...Ch. 9 - Prob. 1RPCh. 9 - The steel pipe has an inner diameter of 2.75 in....Ch. 9 - Determine the equivalent state of stress If an...Ch. 9 - The crane is used to support the 350-lb load....Ch. 9 - Determine the equivalent state of stress on an...Ch. 9 - The propeller shaft of the tugboat is subjected to...Ch. 9 - Determine the principal stresses in the box beam...Ch. 9 - Determine (a) the principal stresses and (b) the...Ch. 9 - Determine the stress components acting on the...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- a. Determine the principal stresses at point A on the cross section of the wrench at section a-a. Also Specify the orientation for this state of stress. b. Determine maximum in-plane shear stress at point A on the cross section of the wrench at section a-a. Also Specify the orientation for this state of stress.arrow_forwardDetermine the principal planes and the principal stresses for the state of plane stress resulting from the superposition of the two states of stress shown. Given: X = 60 MPa and Y = 20 MPa. Determine the orientation of the principal plane in the first and second quadrant. Determine the maximum/minimum principal stressesarrow_forwardA cantilevered beam is loaded as shown. The cross section at the wall is shown, with points of interest A (at the top), B (at the center), and C (midway between A and B). 200 mm where F= 1.4 kN F B 50 mm 50 mm Cross section at wall NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.arrow_forward
- Consider the general case of plane stress as shown. Write a computer program that will show a plot of the three Mohr’s circles for the element, and will also determine the maximum in-plane shear stress and the absolute maximumshear stress.arrow_forward1. Determine the equivalent state of stress on an element at the point which represents, the principal stresses and, the maximum in-plane shear stress and the associated average normal stress. Also, determine the corresponding orientations of the element. a. Use Equation Method b. Use Mohr's Circle 28 MPa 14 MPa 7 MPaarrow_forward1. Find the average normal stress. 2. Find the maximum in-plane shear stress.arrow_forward
- The vertical force P acts on the bottom of the plate having a negligible weight. Determine the shortest distance d to the edge of the plate at which it can be applied so that it produces no compressive stresses on the plate at section a-a. The plate has a thickness of 10 mm and P acts along the centerline of this thickness. a 200 mm- d 300 mm a 500 mmarrow_forwardThe figure shows the stresses at a point. Determine the principal stresses and the maximum shear stress. Show these values on the faces of properly oriented stress blocks.arrow_forward4. The state of plane stress at a point is represented by the stress element below. Determine the stresses acting on an element oriented 30° clockwise with respect to the original element. 50 MPa 80 MPa 80 MPa 25 MPa * 50 MPaarrow_forward
- The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 55 MN/m2 tension respectively. The shear stress across these planes is 25 MN/m2 (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 25o to the plane of greater principal stress. And also verify the answer by drawing the Mohr’s circle.arrow_forwardProblem 2 is answered and the solution is provided. Problem 3 need to be answerarrow_forwardFor the loading shown on the L-shaped part, determine the state of stress at points a, b, and c. Write each state of 12 in. stress in the form of a tensor, observing the r-y-z coor- dinate system shown, and sketch the stresses acting on a differential element at each point. 12 kip 1.8 in. 6 in. 12 kip 0. in. 1.0 in. 1.0 in.arrow_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