Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5.5, Problem 5.90P
Each has a diameter of 1.5 in. and they are connected using the gears fixed to their ends. Their other ends are attached to fixed supports at A and B. They are also supported by bearings at C and D, which allow free rotation of the shafts along their axes. If a torque of 600 lb·ft is applied to the top gear as shown, determine the maximum shear stress in each shaft.
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PROBLEM 1. The shafts are made of A-36 steel and both have 100 mm diameter. If a torque of 60
kN.m is applied to end E and 25 kN.m to the D gear as shown in the figure, determine the angle of
twist of the section at E of the DE shaft.
0.75 m
0.75 m
150 mm
25 kN-m
300 mm
60 kN.m
1.25 m
E
The two 3-ft-long shafts are made of 2014-16 aluminum. Each has a diameter of 1.5 in. and they are connected using the gears fixed to their ends. Their other ends are attached to fixed supports at A and B. They are also supported by bearings at C and D, which allow free rotation of the shafts along their axes. If a torque of 600 lb # ft is applied to the top gear as shown, determine the maximum shear stress in each shaft.
Chapter 5 Solutions
Mechanics of Materials (10th Edition)
Ch. 5.3 - Determine the internal torque at each section and...Ch. 5.3 - Determine the. internal torque at each section and...Ch. 5.3 - The solid and hollow shafts are each subjected to...Ch. 5.3 - The motor delivers 10 hp to the shaft. If it...Ch. 5.3 - The solid circular shaft is subjected to an...Ch. 5.3 - The hollow circular shaft is subjected to an...Ch. 5.3 - The shaft is hollow from A to B and solid from B...Ch. 5.3 - Determine the maximum shear stress in the...Ch. 5.3 - Determine the maximum shear stress in the shaft at...Ch. 5.3 - Determine the shear stress a: point A on the...
Ch. 5.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 5.3 - The gear motor can develop 3 hp when it turns at...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - A shaft is made of an aluminum alloy having an...Ch. 5.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 5.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 5.3 - The solid aluminum shaft has a diameter of 50 mm...Ch. 5.3 - The solid aluminum shaft has a diameter of 50 mm....Ch. 5.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 5.3 - The solid shaft is fixed to the support at C and...Ch. 5.3 - The link acts as part of the elevator control for...Ch. 5.3 - The assembly consists of two sections of...Ch. 5.3 - The shaft has an outer diameter of 100 mm and an...Ch. 5.3 - The shaft has an outer diameter of 100 mm and an...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - If the gears are subjected to the torques shown,...Ch. 5.3 - If the gears are subjected to the torques shown,...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 15...Ch. 5.3 - The copper pipe has an outer diameter of 3 in. and...Ch. 5.3 - The copper pipe has an outer diameter of 3 in. and...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - The pipe has an outer radius r0 and inner radius...Ch. 5.3 - The drive shaft AB of an automobile is made of a...Ch. 5.3 - The drive shaft AB of an automobile is to be...Ch. 5.3 - Prob. 5.29PCh. 5.3 - The motor delivers 50 hp while turning at a...Ch. 5.3 - The solid steel shaft AC has a diameter of 25 mm...Ch. 5.3 - The pump operates using the motor that has a power...Ch. 5.3 - The gear motor can develop 110 hp when it turns at...Ch. 5.3 - The gear motor can develop 110 hp when it turns at...Ch. 5.3 - The gear motor can develop 14 hp when it turns at...Ch. 5.3 - The gear motor can develop 2 hp when it turns at...Ch. 5.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 5.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 5.3 - Prob. 5.39PCh. 5.3 - Prob. 5.40PCh. 5.3 - The A-36 steel tubular shaft is 2 m long and has...Ch. 5.3 - Prob. 5.42PCh. 5.3 - The solid shaft has a linear taper from rA at one...Ch. 5.3 - The 1-in.-diameter bent rod is subjected to the...Ch. 5.3 - The 1-in.-diameter bent rod is subjected to the...Ch. 5.3 - A motor delivers 500 hp to the shaft, which is...Ch. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 5.10FPCh. 5.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 5.4 - A series of gears are mounted on the...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The propellers of a ship are connected to an A-36...Ch. 5.4 - Show that the maximum shear strain in the shaft is...Ch. 5.4 - Determine the angle of twist of end B with respect...Ch. 5.4 - Determine the absolute maximum shear stress in the...Ch. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Determine the angle of twist of the end A.Ch. 5.4 - If gear B supplies 15 kW of power, while gears A,...Ch. 5.4 - If the shaft is made of steel with the allowable...Ch. 5.4 - Prob. 5.56PCh. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - It has a diameter of 1 in. and is supported by...Ch. 5.4 - Prob. 5.60PCh. 5.4 - Determine the absolute maximum shear stress in the...Ch. 5.4 - If the rotation of the 100-mm-diameter A992 steel...Ch. 5.4 - If the mixer is connected to an A-36 steel tubular...Ch. 5.4 - If the mixer is connected to an A-36 steel tubular...Ch. 5.4 - Also, calculate the absolute maximum shear stress...Ch. 5.4 - When it is rotating at 80 rad/s. it transmits 32...Ch. 5.4 - It is required to transmit 35 kW of power from the...Ch. 5.4 - Determine the angle of twist at end A. The shear...Ch. 5.4 - If a torque of T = 50 N m is applied to the bolt...Ch. 5.4 - If a torque of T= 50N m is applied to the bolt...Ch. 5.4 - If the motor delivers 4 MW of power to the shaft...Ch. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.4 - Prob. 5.73PCh. 5.4 - Prob. 5.74PCh. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.4 - If the shaft is subjected to a torque T at its...Ch. 5.5 - Gst = 75 GPa.Ch. 5.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 5.5 - If the shaft is fixed at its ends A and B and...Ch. 5.5 - and a thickness of 0.125 in. The coupling on it at...Ch. 5.5 - The coupling on it at C is being tightened using...Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - If the allowable shear stresses for the magnesium...Ch. 5.5 - If a torque of T = 5 kNm is applied to end A,...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - It is fixed at its ends and subjected to a torque...Ch. 5.5 - 5–89. Determine the absolute maximum shear stress...Ch. 5.5 - Each has a diameter of 1.5 in. and they are...Ch. 5.5 - The shaft is subjected to a torque of 800 lbft....Ch. 5.5 - The shaft is made of 2014-T6 aluminum alloy and is...Ch. 5.5 - The tapered shaft is confined by the fixed...Ch. 5.5 - Determine the reactions at the fixed supports A...Ch. 5.7 - If the yield stress for brass is Y = 205 MPa,...Ch. 5.7 - By what percentage is the shaft of circular cross...Ch. 5.7 - Prob. 5.97PCh. 5.7 - If it is subjected to the torsional loading,...Ch. 5.7 - Solve Prob.5-98 for the maximum shear stress...Ch. 5.7 - determine the maximum shear stress in the shaft....Ch. 5.7 - If the shaft has an equilateral triangle cross...Ch. 5.7 - by 2 in. square cross section, and it is subjected...Ch. 5.7 - is applied to the tube If the wall thickness is...Ch. 5.7 - If it is 2 m long, determine the maximum shear...Ch. 5.7 - Also, find the angle of twist of end B. The shaft...Ch. 5.7 - Also, find the corresponding angle of twist at end...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - The tube is 0.1 in. thick.Ch. 5.7 - Prob. 5.110PCh. 5.7 - Determine the average shear stress in the tube if...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - Prob. 5.113PCh. 5.7 - Prob. 5.114PCh. 5.7 - If the allowable shear stress is allow = 8 ksi,...Ch. 5.7 - Prob. 5.116PCh. 5.7 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.7 - If the applied torque is T = 50 Nm, determine the...Ch. 5.7 - If it is subjected to a torque of T = 40 Nm....Ch. 5.10 - If the transition between the cross sections has a...Ch. 5.10 - Prob. 5.121PCh. 5.10 - If the radius of the fillet weld connecting the...Ch. 5.10 - Prob. 5.123PCh. 5.10 - Determine the maximum shear stress in the shaft. A...Ch. 5.10 - Prob. 5.125PCh. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Assume that the material becomes fully plastic.Ch. 5.10 - diameter is subjected to a torque of 100 in.kip....Ch. 5.10 - Determine the torque T needed to form an elastic...Ch. 5.10 - Determine the torque applied to the shaft.Ch. 5.10 - Prob. 5.131PCh. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - Determine the applied torque T, which subjects the...Ch. 5.10 - Determine the torque needed to just cause the...Ch. 5.10 - Determine the radius of its elastic core if it is...Ch. 5.10 - Plot the shear-stress distribution acting along a...Ch. 5.10 - If the material obeys a shear stress-strain...Ch. 5.10 - It is made of an elastic perfectly plastic...Ch. 5.10 - Prob. 5.139PCh. 5.10 - Prob. 5.140PCh. 5.10 - is made from an elastic perfectly plastic material...Ch. 5.10 - Prob. 5.142PCh. 5.10 - If the materials have the diagrams shown,...Ch. 5.10 - Determine the torque required to cause a maximum...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - Determine the shear stress at the mean radius p =...Ch. 5 - If the thickness of its 2014-T6-aluminum skin is...Ch. 5 - Determine which shaft geometry will resist the...Ch. 5 - If couple forces P = 3 kip are applied to the...Ch. 5 - If the allowable shear stress for the aluminum is...Ch. 5 - Determine the angle of twist of its end A if it is...Ch. 5 - This motion is caused by the unequal belt tensions...
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- The motor on the left provides a torque of 5500 N•m to the gear shaft shown. The motor runs machines connected to gears B, C and D requiring torques of 3000 N•m, 1500 N•m and 1000 N•m respectively. A, B, C and D are spaced 2000 mm apart and the diameter of the shaft is 75 mm. The shear modulus of the shaft material is 80x109 N/m2. Determine: Minimum diameter required (in millimeters) if the shearing stress in the shaft is limited to 100x106 N/m2 Rotation of D with respect to A Note: Draw the Free Body Diagram, Compute for all of the necessary elements, Include the units/dimensions, use the proper formula and round-off all the answers and final answers to 3 decimal places.arrow_forward(1) The shaft has an outer diameter of 1.5 in. and an inner diameter of 0.8 in. If it is subjected to the applied torques as shown, determine the shear stress distribution on the cross-section within region EA. The smooth bearings at A and B do not resist torquearrow_forwardThe gears attached to the A-36 steel shaft are subjected to the torques shown. Determine the angle of twist of end C with respect to end A. The shaft has a diameter of 40 mm. A 0.2 m AAN 300 N·m B 0.5 m GRAA 100 N·m C 200 N·marrow_forward
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