Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.2, Problem 8.66P
Solve Prob.8-65 for points C and D.
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4-41.
Compute the torsional shear stress that would be
produced in a solid circular shaft having a diameter
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Write the equations of equilibrium for AB and BC section of the shaft in terms of T with the help of free body diagrams
5
Chapter 8 Solutions
Mechanics of Materials (10th Edition)
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 - Air pressure in the cylinder is increased by...Ch. 8.1 - Determine the maximum force P that can be exerted...Ch. 8.1 - A boiler is constructed of 8-mm-thick steel plates...Ch. 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. 8.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 8.1 - The gas pipe line is supported every 20 ft by...Ch. 8.1 - A pressure-vessel head is fabricated by welding...Ch. 8.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 8.1 - The ring, having the dimensions shown, is placed...Ch. 8.1 - The inner ring A has an inner radius r1 and outer...Ch. 8.1 - Two hemispheres having an inner radius of 2 ft and...Ch. 8.1 - In order to increase the strength of the pressure...Ch. 8.2 - Show the results on the left segment.Ch. 8.2 - Show the stress that each of these loads produce...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 - Determine the shortest distance d to the edge of...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 - If the allowable normal stress for the steel is...Ch. 8.2 - If the applied force P = 1.50 kip, determine the...Ch. 8.2 - Determine the maximum normal stress on the cross...Ch. 8.2 - If the wood has an allowable normal stress of...Ch. 8.2 - Determine the maximum normal stress along section...Ch. 8.2 - Sketch the stress distribution along section aa of...Ch. 8.2 - Sketch the normal-stress distribution acting over...Ch. 8.2 - Determine the state of stress at points A and B,...Ch. 8.2 - If the force of 100 N is applied to the handles,...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 - Determine the normal stress developed at points A...Ch. 8.2 - Sketch the normal-stress distribution acting over...Ch. 8.2 - Determine the state of stress at points A and B,...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point B on the...Ch. 8.2 - Determine the state of stress acting at point D....Ch. 8.2 - Determine the state of stress acting at point E....Ch. 8.2 - If it is subjected to the force system shown,...Ch. 8.2 - Solve Prob.840 for point B.Ch. 8.2 - Determine the stress components acting on the...Ch. 8.2 - Determine the stress components acting on the...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 - Determine the state of stress at point A, and show...Ch. 8.2 - Determine the state of stress at point B, and show...Ch. 8.2 - Determine the state of stress at point C, and show...Ch. 8.2 - Determine the maximum radius e at which the load P...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - Determine the smallest force P that can be applied...Ch. 8.2 - The coiled spring is subjected to a force P. If we...Ch. 8.2 - The pins at C and D are at the same location as...Ch. 8.2 - Determine the state of stress at point A, and show...Ch. 8.2 - Determine the state of stress at point B, and show...Ch. 8.2 - Determine the stress components at points A and B...Ch. 8.2 - Determine the stress components at points C and D...Ch. 8.2 - Determine the stress components in the support...Ch. 8.2 - Determine the stress components in the support...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. 8.2 - for points E and F.Ch. 8.2 - Determine the stress components at points A and B...Ch. 8.2 - Solve Prob.8-65 for points C and D.Ch. 8.2 - Due to internal gearing, this causes the block to...Ch. 8.2 - Determine the state of stress at point A and show...Ch. 8.2 - Solve Prob.868 for point B.Ch. 8.2 - Determine the stress components at point A. Sketch...Ch. 8.2 - for the stress components at point B.Ch. 8.2 - Determine the state of stress at point A at...Ch. 8.2 - Determine the state of stress at point B at...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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- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.arrow_forwardF8-5. Determine the horizontal displacement of joint D. AE is constant. Use the principle of virtual work. F8-6. Solve Prob. F8-5 using Castigliano's theorem. 6 kN ID -3m- 3'm -6 kN Probs. F8-5/6arrow_forward6-41 A 30-lb force P is applied to the brake pedal of an automobile as shown in Fig. applied to the brake cylinder and the reaction at support A. Determine the force Q P 30° 5 in. B 55 in. 4 in.-arrow_forward
- , Solve the preceding problem using the numerical data: /) = 90mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = L2 m.arrow_forwardF8-3. Determine the horizontal displacement of joint A. AE is constant. Use the principle of virtual work. F8-4. Solve Prob. F8-3 using Castigliano's theorem. A 7 kN 2m 60° -2m- Probs. F8-3/4 Barrow_forwardF8-1. Determine the vertical displacement of joint B. AE is constant. Use the principle of virtual work. F8-2. Solve Prob. F8-1 using Castigliano's theorem. 600 N 3 m 4 m- B Probs, F8-1/2arrow_forward
- 6-52 Determine the reactions at supports A and B of the curved bar shown in Fie. 3 kN 4 kN 0.5 m Im -2 m 1m B 2 kN 1.5 m 2 marrow_forwardFigure 5-25 Full Alternative Text 5-26. If the tube is made from a material having an allowable shear stress of Tallow = 80 MPa, determine the maximum allowable intensity to of the uniform distributed torque. The inner radius is 26 mm and the outer radius is 30 mm. Prob. 5-26 500 mm CATATE PRINS ON B 500 mm C toarrow_forward3-16. A truss is loaded as shown in Fig. P 2-15. Determine the resultant load on the truss. 5o00 6000 2000 6 Ponels e 10' 60' 1000arrow_forward
- 1-63.M. The key in Figure 1-18 has the dimensions b = 10 min, h = 8 nim, and L = 22 min. Determine the shear stress in the key when 95 N-m of torque is transferred from the 35-mm-diameter shaft to the hub. Hub End view Shear plane Shear pl T=Torque -D=Shaft diameter T=F(D/2) F₁-Force of shaf F₂= Force of hub on 1 Shear area=A,=bxLarrow_forwardThe two solid steel shafts are connected by gears C and F and 9 in. 2,5 in. supported by smooth bearings at B, D, and E. The upper shaft is fixed at G. If the shear modulus is G = 11 x 10° ksi, determine the angle of rotation of end A when the torque of 700 lb - ft is аpplied. E 1.75 in. -3 in. 4 ft B 700 lb ft 5 ftarrow_forward4-6 Two foros are applied to a bracket as shiwn in Tig. P4-6. Deternine a. The mament of force F, about point A. b. The monent uf turce Fy about pnint R. 140 -2IKmmarrow_forward
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