Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 13.2, Problem 29P
The joint is subjected to the force system shown. Determine the state of stress at points A and B, and sketch the results on differential elements located at these points. The member has a rectangular cross-sectional area of width 0.5 in. and thickness 1 in.
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The joint is subjected to a force of P = 2-- lb and F =
150 lb. Determine the state of stress at points A
and B, and sketch the results on differential
elements located at these points. The member has a
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thickness of 0.5 in.
F
0.5 in.
a
B
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1.25 in.
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a
2 in.
Determine 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.
Determine 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.
Chapter 13 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 13.1 - A spherical gas tank has an inner radius of r =...Ch. 13.1 - A pressurized spherical tank is made of...Ch. 13.1 - The thin-walled cylinder can be supported in one...Ch. 13.1 - Prob. 4PCh. 13.1 - Prob. 5PCh. 13.1 - Determine the maximum force P that can be exerted...Ch. 13.1 - Prob. 7PCh. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 13.1 - The gas pipe line is supported every 20 ft by...Ch. 13.1 - Prob. 12PCh. 13.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 13.1 - The ring, having the dimensions shown, is placed...Ch. 13.1 - Prob. 15PCh. 13.1 - Prob. 16PCh. 13.1 - Prob. 17PCh. 13.2 - In each case, determine the internal loadings that...Ch. 13.2 - The internal loadings act on the section. Show the...Ch. 13.2 - Determine the normal stress at comers A and B of...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the magnitude of the load P that will...Ch. 13.2 - Prob. 5FPCh. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the shortest distance d to the edge of...Ch. 13.2 - Determine the maximum distance d to the edge of...Ch. 13.2 - The plate has a thickness of 20 mm and the force P...Ch. 13.2 - If the load has a weight of 600 lb, determine the...Ch. 13.2 - The steel bracket is used to connect the ends of...Ch. 13.2 - Prob. 23PCh. 13.2 - The column is built up by gluing the two boards...Ch. 13.2 - Prob. 25PCh. 13.2 - The screw of the clamp exerts a compressive force...Ch. 13.2 - Prob. 27PCh. 13.2 - Prob. 28PCh. 13.2 - The joint is subjected to the force system shown....Ch. 13.2 - Prob. 30PCh. 13.2 - The 12-in.-diameter holt hook is subjected to the...Ch. 13.2 - Prob. 32PCh. 13.2 - Prob. 33PCh. 13.2 - Prob. 34PCh. 13.2 - Prob. 35PCh. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The frame supports the distributed load shown....Ch. 13.2 - Prob. 39PCh. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - Determine the normal-stress developed at points A...Ch. 13.2 - Sketch the normal-stress distribution acting over...Ch. 13.2 - Prob. 46PCh. 13.2 - The solid rod is subjected to the loading shown....Ch. 13.2 - Prob. 48PCh. 13.2 - Prob. 49PCh. 13.2 - The C-frame is used in a riveting machine. If the...Ch. 13.2 - Prob. 51PCh. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13 - The post has a circular cross section of radius c....Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - Prob. 4RPCh. 13 - If the cross section of the femur at section aa...Ch. 13 - Prob. 6RPCh. 13 - Prob. 7RPCh. 13 - Prob. 8RP
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- The screw of the clamp exerts a compressive force of 500 lb on the woodblocks. Sketch the stress distribution along section a–a of the clamp. The cross section is rectangular, 0.75 in. by 0.50 in.arrow_forwardThe state of stress at a point in a member is shown on the element. Determine the stress components acting on the inclined plane AB. a. Solve the problem using the method of equilibrium b. Solve the problem using the stress-transformation equations developed. Show the result on a sketch. 2 ksi 3 ksi 4 ksi Barrow_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 joint is subjected to the axial member force of 6 kips. Determine the average normal stress acting on sections AB and BC. Assume the member is smooth and is 1.5 in thick. . Tip: You can determine the forces by making a FBD in a concurrent point. 1.5 in B 20⁰ 4.5 in. 6 kip 50⁰arrow_forwardThe 20 mm diameter rod is subjected to the loads shown.(a) Determine the state of stress at point and show the results on a differential element located at this point.(b) Using Mohr's circle, determine the maximum normal stress and the maximum in-plane shearing stress at point A and show the associated stress states on appropriately oriented elements, for cach case.arrow_forwardThe solid cylinder having a radius r is placed in a sealed container and subjected to a pressure p. Determine the stress components acting at point A located on the center line of the cylinder. Draw Mohr's circles for the element at this point. Aarrow_forward
- The 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 rod is subjected to the loading shown. Determine the state of stress at point B, and show the results on a differential volume element at this point.arrow_forwardThe beveled gear is subjected to the loads shown.Determine the stress components acting on the shaftat point B, and draw the results on a stress elementat this point. The shaft has a diameter of 1 in. and isfixed to the wall at C. A = 0.7854 in2 J = 0.098175 in4 I = 0.049087 in4 (QB)z = 0 (QB)x = 0.0833 in3arrow_forward
- The solid rod is subjected to the loading shown. Determine the state of stress at point A, and show the results on a differential volume element located at this point.arrow_forwardThe joint is subjected to the axial member force of 6 kips. Determine the average normal stress acting on sections AB and BC. Assume the member is smooth and is 1.5 in thick. Tip: You can determine the forces by making a FBD in a concurrent point.arrow_forwardThe spreader bar is used to lift the 2000-lb tank. Determine the state of stress at points A and B, and indicate the results on a differential volume element.arrow_forward
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