MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 9.3, Problem 1FP
Determine the normal stress and shear stress acting on the inclined plane AB. Sketch the result on the sectioned element.
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Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the stress transformation equations. Show the results on the sectional element.
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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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- 1) Two wrenches are used to tighten the pipe. If P = 300 N is applied to each wrench, determine the maximum torsional shear stress developed within regions AB and BC. The pipe has an outer diameter of 25 mm and inner diameter of 20 mm. Sketch the shear stress distribution for both cases. 250 mm B 250 mmarrow_forwardThe cross-sectional area of the bar ABCD is 600 mm². Determine the maximum normal stress in the bar?arrow_forwardDo it clearlyarrow_forward
- The plate has a thickness of 20 mm and width s = 260 mm. Force P acts along the centerline of this thickness. Determine the maximum distance d at which the force P can be applied so that it produces no compressive stresses on the plate at section a-a.arrow_forwardDetermine the maximum distance d to the edge of the plate at which the force P can be applied so that it produces no compressive stresses on the plate at section a–a. The plate has a thickness of 20 mm and P acts along thecenterline of this thickness.arrow_forwardThe box beam is subjected to the 26-kN force that is applied at the center of its width, 75 mm from each side. Determine the principal stresses at point A and show the results in an element located at this point. Use the shear formula to calculate the shear stress.arrow_forward
- The horizontal force of P = 80 KN acts at the end of the plate. The plate has a thickness of 10 mm and P acts along the centerline of this thickness such that d = 50 mm. Plot the distribution of normal stress acting along section a-a.arrow_forwardThe solid bar has a diameter of 50 mm. The two forces and the torque Tx are acting at the origin of the x-y-z coordinate system which is coincident with the centroid of the cross-section of the bar; the 1800 N force is acting in the y-z plane and torque Tx is acting about the x-axis. Determine the state of stress at points A and B, and show the respective stress components acting on differential elements located at these two points. 200 mm/ y 200 mm 1200 N Tx = 40 N.m %3D 1800 Narrow_forwardThe solid bar has a diameter of 50 mm. The two forces and the torque Tx are acting at the origin of the x-y-z coordinate system which is coincident with the centroid of the cross-section of the bar; the 1800 N force is acting in the y-z plane and torque T is acting about the x-axis. Determine the state of stress at points A and B, and show the respective stress components acting on differential elements located at these two points. {30 marks} 200 mm y 200 mm B. 1200 N T= 40 N.m 1800 Narrow_forward
- 6kN and 1.0KNM loads are applied to the top of the 62-mm-diameter cast-iron as shown. Determine the principal stresses (max and min normal stresses), principal planes (orientation of plane for max-min normal stresses) and max shear stress by using Mohr's circle. Hint: Use given coordinate system. So, H is on x-z plane and K is on y- z plane 1.0 kN.m 6 kN X 220 mmarrow_forwardDetermine the equivalent state of stress on an element at the same point oriented 60° counterclockwise with respect to the element shown. Sketch the results on the elementarrow_forward2. The coping saw has an adjustable blade that is tightened with 8 mm a tension of 40 N. 3 mm A 75 mm Determine the maximum and minimum normal stresses 8 mm 3 mm developed along section (A-B). Determine the stress developed at point C. 100 mm 50 mm Draw the stress distribution over the cross-section area at section (A-B).arrow_forward
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