Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.4, Problem 44P
To determine
Find the maximum shear stress developed in the shaft.
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Part A: Determine the absolute maximum shear stress in the shaft.
Part B: Determine the angle of twist of end EE of the shaft relative to BB.
Given: The turbine develops 150 kW of power, which is transmitted to the gears such that CC receives 70% and DD receives 30%. The rotation of the 100-mm diameter A-36 steel shaft is ωomega = 600 rev/min . The journal bearing at EE allows the shaft to turn freely about its axis. The shear modulus of elasticity for A-36 steel is 75 GPa.
The turbine develops 150 kW of power, which is
transmitted to the gears such that C receives 70% and
D receives 30%. The rotation of the 100-mm-diameter
A-36 steel shaft is a 750 rev/min. The journal
bearing at E allows the shaft to turn freely about its axis.
The shear modulus of elasticity for A-36 steel is 75 GPa.
(Figure 1)
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1 of 1
Part A
Determine the absolute maximum shear stress in the shaft.
Express your answer to three significant figures and include the appropriate units.
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Part B
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Determine the angle of twist of end E of the shaft relative to B
Express your answer using three significant figures.
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Ivec 4
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rad
10-45. The rotating flywheel-and-shaft, when brought to
a sudden stop at D, begins to ascillate clockwise-counter-
clockwise such that a point A on the outer edge of the
fly-wheel is displaced through a 6-mm arc. Determine the
maximum shear stress developed in the tubular A-36 steel
shaft due to this oscillation. The shaft has an inner diameter
of 24 mm and an outer diameter of 32 mm. The bearings at
Band Callow the shaft to rotate freely, whereas the support
at D holds the shaft fixed.
75 mm
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 turbine develops 150 kW of power, which is transmitted to the gears such that C receives 70% and D receives 30%. If the rotation of the 100-mm-diameter A-36 steel shaft is w = 800 rev/ min., determine the absolute maximum shear stress in the shaft and the angle of twist of end E of the shaft relative to B. The journal bearing at E allows the shaft to turn freely about its axis. D 3 m E 4 m 2 marrow_forwardthe solid steel sheft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F. which delivers 12kw of bower to the shift while turning at 50 rev/s if gears A ,B and C remove 3kw,4kw,5kw respectively . determine the maximum shear stress developed in the shift within Regions CF and BC. the shaft is free to turn in its support bearings D and Farrow_forwardThe motor A delivers 7500 kW to the shaft at 3600 rev/min, of which 2500 kW is removed by gear B and 5000 kW is removed by gear C. Determine (a) the maximum shear stress in the shaft; and (b) the angle of twist of end D relative to end A. Use G = 83 GPa for steel, and assume that friction at bearing D is negligible. Show complete solution, and the free body diagram.arrow_forward
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- The A-36 steel assembly consists of a tube having an outer radius of 1 inch and a wall thickness of 0.125 inch. Using a rigid plate at B, it is connected to the solid 1-inch diameter shaft AB. Determine the rotation of the tube’s end C if a torque of 200lb inches is applied to the tube at this end. The end A of the shaft is fixed supported.arrow_forwardTwo spur wheels with involute teeth gear together externally. The pitch circle diameters are 120 mm and 300 mm and the smaller wheel has 19 teeth. The pressure angle is 20o and the addendum is 0,3 of the circular pitch. Determine 1.1 The length of the arc of approach if the smaller wheel is the driver, and 1.2 The maximum velocity of sliding between the teeth when the driver rotates at 200 r/minarrow_forwardThe ends and gears connected to the steel shaft (G = 75 GPa) aresubject to the torques shown. Determine the torsional angle of end B with respect to A.The shaft has a diameter of 40 mm.arrow_forward
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