Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.3, Problem 20P
To determine
Find the absolute maximum shear stress in the pipe.
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10-21. The shaft has an outer diameter of 100 mm and an
inner diameter of 80 mm. If it is subjected to the three
torques, plot the shear stress distributicn along a radial line
for the cross section within region CD of the shaft. The
smooth bearings at A and B do not resist tarque.
10 kN-m
15 kN m
5 kN-m
The shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the three torques, plot the shear stress distribution along a radial line for the cross section within region CD of the shaft. The smooth bearings at A and B do not resist torque.
The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.5 in. If it is tightly secured to the wall at C and a uniformly distributed torque is applied to it as shown, determine the shear stress at points A and B. These points lie on the pipe’s outer surface. Sketch the shear stress on volumeelements located at A and B.
Chapter 10 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 10.3 - Determine the internal torque at each section and...Ch. 10.3 - Determine the internal torque at each section and...Ch. 10.3 - Prob. 3PPCh. 10.3 - Prob. 4PPCh. 10.3 - Prob. 1FPCh. 10.3 - The hollow circular shaft is subjected to an...Ch. 10.3 - Prob. 3FPCh. 10.3 - Prob. 4FPCh. 10.3 - Determine the maximum shear stress in the shaft at...Ch. 10.3 - Prob. 6FP
Ch. 10.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 10.3 - Prob. 8FPCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - A shaft is made of an aluminum alloy having an...Ch. 10.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 10.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 10.3 - The solid aluminum shaft has a diameter of 50 mm...Ch. 10.3 - The solid aluminum shaft has a diameter of 50 mm....Ch. 10.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 10.3 - The solid shaft is fixed to the support at C and...Ch. 10.3 - The link acts as part of the elevator control for...Ch. 10.3 - The assembly consists of two sections of...Ch. 10.3 - The shaft has an outer diameter of 100 mm and an...Ch. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10.3 - Prob. 21PCh. 10.3 - The 60-mm-diametcr solid shaft is subjected to the...Ch. 10.3 - Prob. 23PCh. 10.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 10.3 - Prob. 25PCh. 10.3 - The pump operates using the motor that has a power...Ch. 10.3 - Prob. 27PCh. 10.3 - Prob. 28PCh. 10.3 - Prob. 29PCh. 10.3 - The gear motor can develop 2 hp when it turns at...Ch. 10.3 - Prob. 31PCh. 10.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 10.3 - Prob. 33PCh. 10.3 - Prob. 34PCh. 10.4 - The 60-mm-diameter steel shaft is subjected to the...Ch. 10.4 - Prob. 10FPCh. 10.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 10.4 - A series of gears are mounted on the...Ch. 10.4 - Prob. 13FPCh. 10.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 10.4 - The propellers of a ship are connected to an A-36...Ch. 10.4 - Prob. 36PCh. 10.4 - The splined ends and gears attached to the A992...Ch. 10.4 - Prob. 38PCh. 10.4 - The 60-mm-diameter shaft is made of 6061-T6...Ch. 10.4 - The 60-mm-diameter shaft is made of 6061-T6...Ch. 10.4 - Prob. 41PCh. 10.4 - Prob. 42PCh. 10.4 - Gear B supplies 15 kW of power, while gears A, C,...Ch. 10.4 - Prob. 44PCh. 10.4 - The turbine develops 150 kW of power, which is...Ch. 10.4 - Prob. 46PCh. 10.4 - Prob. 47PCh. 10.4 - Prob. 48PCh. 10.4 - The A 992 steel shaft has a diameter of 50 mm and...Ch. 10.4 - The turbine develops 300 kW of power, which is...Ch. 10.4 - Prob. 51PCh. 10.4 - The device shown is used to mix soils in order to...Ch. 10.4 - The 6-in.-diameter L-2 steel shaft on the turbine...Ch. 10.4 - The A-36 hollow steel shaft is 2 m long and has an...Ch. 10.4 - The A-36 solid steel shaft is 3 m long and has a...Ch. 10.4 - Prob. 56PCh. 10.4 - Prob. 57PCh. 10.4 - Prob. 58PCh. 10.4 - The tubular drive shaft for the propeller of a...Ch. 10.4 - The 60-mm diameter solid shaft is made of 2014-T6...Ch. 10.4 - Prob. 61PCh. 10.5 - The steel shaft has a diameter of 40 mm and is...Ch. 10.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 10.5 - The steel shaft is made from two segments: AC has...Ch. 10.5 - The bronze C86100 pipe has an outer diameter of...Ch. 10.5 - The bronze C86100 pipe has an outer diameter of...Ch. 10.5 - Prob. 67PCh. 10.5 - Prob. 68PCh. 10.5 - The Am1004-T61 magnesium tube is bonded to the...Ch. 10.5 - The Am1004-T61 magnesium tube is bonded to the...Ch. 10.5 - The two shafts are made of A-36 steel. Each has a...Ch. 10.5 - Prob. 72PCh. 10.5 - Prob. 73PCh. 10.5 - Prob. 74PCh. 10.5 - Prob. 75PCh. 10.5 - The composite shaft consists of a mid-section that...Ch. 10.5 - Prob. 77PCh. 10.5 - The tapered shaft is confined by the fixed...Ch. 10.5 - Prob. 79PCh. 10 - The shaft is made of A992 steel and has an...Ch. 10 - The shaft is made of A992 steel and has an...Ch. 10 - The A-36 steel circular tube is subjected to a...Ch. 10 - Prob. 4RPCh. 10 - Prob. 5RPCh. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - The 60-mm-diameter shaft rotates at 300 rev/min....
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- The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.50 in. If it is tightly secured to the wall at C and it is subjected to the uniformly distributed torque along its entire length, determine the absolute maximum shear stress in the pipe. Discuss the validity of this result.arrow_forward= 5-6. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions BC and DE of the shaft. The bearings at A and Fallow free rotation of the shaft. B 20 lb-ft 35 lb-ft 40 lb-ft 25 lb-ft Probs. 5-6/7arrow_forward*10-20. The shaft has an cuter diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the three torques, determine the absolute maximum shear stress in the shaft. The smooth bearings A and B do not resist torque. 10 kN-m 15 kN m 5 kN-marrow_forward
- PS-I. Determine the internal torque at each section and show the shear strem on differential volume elements located at A, B,C, and D. 300 Nmarrow_forwardThe shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the three torques, determine the absolute maximum shear stress in the shaft. The smooth bearings A and B do not resist torque.arrow_forwardThe copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly secured to the wall and three torques are applied to it, determine the shear stress developed at points A and B. These points lie on the pipe’s outer surface. Sketch the shear stress on volume elements located at A and B.arrow_forward
- The copper pipe has an outer diameter of 50 mm and an inner diameter of 40 mm. It is tightly secured to the wall at A and three torques are applied to it as shown. determine the shear stress at each segment and the absolute maximum shear stress developed in the pipe. 80 N-m 20 N-m 30 N-marrow_forwardThe solid aluminum shaft has a diameter of 50 mm and allowable shear stress of tallow = 60 MPa. Determine the largest torque T1 that can be applied to the shaft if it is also subjected to the other torsional loadings. It is requiredthat T1 act in the direction shown. Also, determine the maximum shear stress within regions CD and DE. 5–7. The solid aluminum shaft has a diameter of 50arrow_forward10-1. The solid shaft of radius r is subjected to a torque T. Determine the radius r' of the inner core of the shaft that resists one-half of the applied torque (T/2). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.arrow_forward
- The copper pipe has an outer diameter of 40 mm and an inner diameter of 37 mm. If it is tightly secured to the wall at A and three torques are applied to it as shown, determine the absolute maximum shear stress developed in the pipe. Determine the angle of twist of the end B.Take G=37GPa. 80 N-m 20 N-m 30 N-m 800 mm 600 mm 200 mmarrow_forwardThe shaft consists of three concentric tubes, each made from the same material and having the inner and outer radii as shown. If the torque of T=800 N•m is applied to the rigid disk fixed to its end, determine the maximum shear stress in the shaft. S •5-9. The shaft consists of three concentric tubes, each made from the same material and having the inner and outer radii shown. If a torque of T the rigid disk fixed to its end, determine the maximum shear stress in the shaft. = 800 N• m is applied to T= 800 N.m r = 20 mm ro = 25 mm 2 m r; = 26 mm ro = 30 mm %3D r; = 32 mm 38 mm Prob. 5-9arrow_forwardThe turbine develops 150 kW of power, which is transmitted to the gears such that both C and D receive an equal amount. If the rotation of the 100-mm-diameter A-36 steel shaft is v = 500 rev>min., determine the absolute maximum shear stress in the shaft and the rotation of end B of the shaft relative to E. The journal bearing at E allows the shaft to turn freely about its axis.arrow_forward
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