MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 9.4, Problem 74P
If the box wrench is subjected to the 50 lb force, determine the principal stresses and maximum in-plane shear stress at point A on the cross section of the wrench at section a–a. Specify the orientation of these states of stress and indicate the results on elements at the point.
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The bent shaft is fixed in the wall at A. If a force F is applied at B (the force is acting on the
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4. Draw the state of stress on a volume element (stress element) located at point E
5. Determine the principal stresses acting at point E by constructing Mohr's circle
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The 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.
The wide-flange beam is subjected to the 50-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 tocalculate the shear stress.
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. State of efforts in the coordinate axis marked in the problem. 2. Principal maximum and minimum forces and maximum shear force in the plane. 3. Angle at which the principal stresses meet. 4. Drawing of Mohr's circle, marking the line that corresponds to the stress state of point 1.arrow_forwardDetermine the shortest distance d to the edge of the plate at which the force P can be applied so that it produces no compressive stresses in the plate at section a–a. The plate has a thickness of 10 mm and P acts along the centerline of this thickness.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 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
- The bar has a 100 mm by 15 mm rectangular cross section. The allowable normal and shear stresses on inclined 66° surface a – a must be limited to 50 MPa and 35 MPa, respectively. Determine the 100 mm magnitude of the maximum axial force P that can be applied to the bar, and determine the actual normal and shear Try one stresses acting on inclined plane a – a.arrow_forwardProblem 2 is answered and the solution is provided. Problem 3 need to be answerarrow_forwardThe yoke-and-rod connection is subjected to a tensile force of 15 kN. Determine the average normal stress in each rod and the average shear stress in the pin A between the members. Finally, find the shear strain in pin A. Take Gsteel= 75GPaarrow_forward
- The wide-flange beam is subjected to the 50-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. A B₂ ➜ 10 mm- B 200 mm 12 mm 250 mm 12 mm -3 m 50 kNarrow_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_forward1. The pictured link acts as a part of the elevator control for a small airplane. If the attached aluminum tube has an inner diameter of 25 mm and a wall thickness of 5 mm, determine the shear stress in the outer and inner surfaces of the tube when a cable force of 600 N is applied to the cables. Also, sketch the shear-stress distribution over the cross-section.arrow_forward
- Determine the state of stress at point A on the cross section of the pipe assembly at section a–a. Show the results in a differential element at the point.arrow_forwardThe propeller shaft of the tugboat is subjected to the compressive force and torque shown. If the shaft has an inner diameter of 100 mm and an outer diameter of 150 mm, determine the principal stresses at a point A located on the outer surface.arrow_forwardDetermine 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.arrow_forward
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