Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 12, Problem 12.38SP
A 1.00-m-long steel wire, 4 mm in diameter, is twisted through an angle of
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Students have asked these similar questions
Determine the elongation in mm of a helical spring composed of 20 turns and 19 mm wire diameter on a mean radius of 75 mm when the spring is supporting a load of 1000 N, assume the modulus of rigidity of 83 GPa.
The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the torques 2T and 3T at points A and B, respectively. If tallow = 35 MPa and (fA/C)allow =2o, determine the maximum permissible value of the torque T.
Use the table given below and your student ID to find the values of L1, L2, and D.
Student ID
L1 (m)
L2 (m)
D (mm)
1131731
1
0.6
78
A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same
length having an external diameter of 16mm and a wall thickness of
3mm. The rod and tube are rigidly connected at their ends so that they twist together when a
torque of 20 Nm is applied. Galuminum = 30GPa; Gbrass = 40GPa.
Determine:
a) The values of the torsional stiffness for the rod and the tube
b) The torque transmitted by each
c) The maximum shear stress in each
d) The angle of twist
Chapter 12 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 12 - Determine the internal resisting torque in the...Ch. 12 - Determine the internal resisting torque in the...Ch. 12 - Calculate the maximum shear stress developed in a...Ch. 12 - Calculate the allowable torque for a hollow steel...Ch. 12 - Calculate the allowable torque that may be applied...Ch. 12 - A hollow circular steel shaft has a 100-mm outside...Ch. 12 - Design a solid circular steel shaft to transmit an...Ch. 12 - Calculate the shear stresses at the outer and...Ch. 12 - A hollow shaft is produced by boring a...Ch. 12 - Pulleys C and D are attached to shaft AB, as...
Ch. 12 - Calculate the angle of twist a 3-in-diameter...Ch. 12 - Calculate the angle of twist a 65-mm-diameter...Ch. 12 - Calculate the angle of twist a 4-in.-diameter...Ch. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - A solid steel shaft is to resist a torque of 9000...Ch. 12 - A hollow steel shaft has a 50-mm outside diameter...Ch. 12 - If the shaft of Problem 12.17 were solid, with the...Ch. 12 - An automobile engine develops 90 hp at 3500 rpm....Ch. 12 - Calculate the speed (rpm) at which a...Ch. 12 - Select the diameter of a solid circular steel...Ch. 12 - Select the diameter for a hollow steel shaft that...Ch. 12 - A 6-ft-long solid steel shaft with a diameter of 4...Ch. 12 - The outside and inside diameters of a hollow steel...Ch. 12 - Calculate the maximum shear stress developed in a...Ch. 12 - Write a program that will calculate the allowable...Ch. 12 - Write a program that will generate a table of...Ch. 12 - Rework the program of Problem 12.27 using SI...Ch. 12 - Write a program that will generate a table of...Ch. 12 - Compute the maximum shear stress in the hollow...Ch. 12 - Calculate the allowable torque that may be applied...Ch. 12 - Design a hollow steel shaft to transmit a torque...Ch. 12 - A 32-in.-long solid steel circular shaft, 3 in. in...Ch. 12 - The 65-mm-diameter solid shaft shown is subjected...Ch. 12 - Rework Problem 12.34, changing the diameter of...Ch. 12 - Compute the maximum shear stress in the circular...Ch. 12 - Determine the allowable torque a hollow steel...Ch. 12 - A 1.00-m-long steel wire, 4 mm in diameter, is...Ch. 12 - Select the outside and inside diameters for a...Ch. 12 - A solid aluminum shaft, 6 ft in length, is to...Ch. 12 - A 25-mm-diameter solid shaft with an allowable...Ch. 12 - Compute a. the maximum shear stress developed in a...Ch. 12 - What horsepower can a solid steel shaft 6 in. in...Ch. 12 - Calculate the maximum power that may be...Ch. 12 - A small ski lift has a main cable driving wheel 11...Ch. 12 - A 32-mm-diameter solid shaft transmits 100 kW of...Ch. 12 - A solid steel shaft is to transmit power of 58 kW...Ch. 12 - Select the diameter for a solid steel shaft that...Ch. 12 - A solid steel shaft is to transmit 100 hp at a...Ch. 12 - Two shafts-one a hollow steel shaft with an...Ch. 12 - A 112 -in.-diameter solid steel shaft is 40 ft in...Ch. 12 - A solid steel shaft is to transmit 120 hp. The...
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- The rod is pinned at its end A and attached to a torsional spring having a stiffness k, which measures the torque per radian of rotation of the spring. If a force P is always applied perpendicular to the end of the rod, determine the displacement of the force. EI is constant.arrow_forwardDetermine the elongation in a helical spring composed of 18 turns and 25 mm wire diameter on a mean radius of 100 mm when the spring is supporting a load of 1500 N, assume the modulus of rigidity of 83 GPa.arrow_forwardThe composite shaft shown consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 164 mm and a wall thickness of 7 mm. Steel pipe (2) has an outside diameter of 114 mm and a wall thickness of 6 mm. Both pipes are 3-m long and have a shear modulus of 80 GPa. If a concentrated torque of 20 kN-m is applied to flange B, determine the torque in pipe (1).arrow_forward
- The mean dimensions of the cross-section of the leading edge and torsion box of an airplane wing can be approximated as shown. If the wing is made of 2014-T6 (G = 19 GPa) aluminum alloy having an allowable shear stress of Tallow = 158 MPa, and the wall thickness is 12 mm. Determine the maximum allowable torque and the corresponding angle of twist per meter length of the wing.arrow_forwardA solid bar of circular cross section has a diameter of 40mm and length of 1300mm. G=80GPa and torque applied at both ends is 340 N.m. Determine the angle of rotation in radians.arrow_forwardIn the system shown, when a compression load P is applied to the rod, what is the bearing stress value in the bearings through which the d diameter pin passes? P = 10kN, pim çapı: d=20mm, bir yatağın kalınlığı: t = 10mmarrow_forward
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- two solid steel shafts of different diameters are joined together at point C. the diameter of the smaller shaft is 0.5 in, while the diameter of the larger shaft is 1 in. if the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi.Show full solution pleasearrow_forwardGears b and c have diameters of 10 cm and 4 cm, respectively. The maximum shear stress supported by the bars is 550 kgf/cm^2 and the material from which they are manufactured has a shear modulus G = 8x10^5 kgf/cm^2. Determine: The diameter of each bar, such that the maximum shear stress is not exceeded. The torsional rotation of point d. T = 12 Ton-marrow_forwardDetermine the maximum shearing stress and elongation in a bronze helical spring composed of 15 turns of 2.0-in.-diameter wire on a mean radius of 6 in. when the spring is supporting a load of 500 lb. G = 6 × 106 psiarrow_forward
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