Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 5.10, Problem 5.134P
Determine the torque needed to just cause the material to become fully plastic. What is the permanent angle of twist of the tube when this torque is removed?
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I have already asked this question twice. Please only answer this problem if you can answer explicitly the question I have. I already know how to do part of the problem and do not need help with finding the magnitudes of the torques. I need an explanation of how to determine specifically the direction of the rotation (clockwise or counterclockwise) associated with the torque. I know that if the direction is counterclockwise, then the torque is positive, and if the direction is clockwise, then the torque is negative.
Problem: The body in the figure is pivoted at O. Three forces act on it: FA = 10N at point A, 8.0m from O; FB = 16N at point B, 4.0m from O; and FC = 19N at point C, 3.0m from O. What is the net torque about O?
Part of the Solution: I am using the formulas: tauA = FArA sin thetaA = (10)(8.0) sin 1350; tauB = FBrB sin thetaB = (16)(4.0) sin 900
tauC = FCrC sin thetaC = (19)(3.0) sin 1600
So, I can find the magnitudes of the three torques (tauA, tauB, and tauC).
Here is where…
A motor is used to drive a gear assembly at 200 rpm. The main gear is in the center of a 1 m long (0.5 m to the left and right of the gear) 50 mm diameter solid circular shaft, and power is taken from the two shaft ends. 25 kW is taken on the left end and an unknown amount of power is taken at the right end.
the torque to the left side of the gear is?
maximum shear stress to left of gear?
If the maximum shear stress on the shaft to the right of the gear is 125 MPa, approximately how much power is being drawn off from the right side of the shaft?
The shaft can be made from 6061-T6 aluminum. It has adequate strength to withstand the loading conditions in the scenario, including the loading on the right side of the shaft.
true or false?
During the design of the shaft, it is recommended to assume that the radius of the shaft is not straight before and after the twist.
Select one:
True
False
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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- Please help me to answer this:arrow_forwardThe answer is 1290N, but I am not entirely sure how they got there. However, I noticed that when I calculated the torques for the person and that of the ladder, my answer would be correct if I multiplied by sin(60) or cos (30) instead. Using the sum of these values, I would divide it by the length of the ladder and sin(30), which would give the correct answer, but I'm a bit confused as to why I need to take sin(60) or cos(30) to calculate the torques for the weight of the ladder and the human, but then use sin(30) when calculating the torque for the perpendicular force. I would appreciate a work through of the problem and some explanation for my difficulties above, thank you.arrow_forwardHow can the angle of twist of one end of a shaft or tube with respect to theother ends be determined?arrow_forward
- Please help me solve this. I need answer asap. Tysm!! A flanged bolt coupling consists of eight d-mm diameter steel bolts on a bolt circle 275 mm in diameter, and four d-mm diameter steel bolts on a concentric bolt circle 193 mm in diameter. If the torque that can be applied is 9821 Nm without exceeding a shearing stress of 54.36 MPa in the bolts, what is the diameter of the bolts? Round off the final answer to two decimal places.arrow_forwardOption b is not a correct answer. Please choose the right one within hour. Don't use Artificial intelligence tools.arrow_forwardPlease show complete work in handwritten format. Don't use chatgpt,If you use Chatgpt it will get a unhelpful rating for sure.arrow_forward
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