1 Tension, Compression, And Shear 2 Axially Loaded Members 3 Torsion 4 Shear Forces And Bending Moments 5 Stresses In Beams (basic Topics) 6 Stresses In Beams (advanced Topics) 7 Analysis Of Stress And Strain 8 Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings) 9 Deflections Of Beams 10 Statically Indeterminate Beams 11 Columns Chapter3: Torsion
Chapter Questions Section: Chapter Questions
Problem 3.2.1P: A circular tube is subjected to torque Tat its ends. The resulting maximum shear strain in the tube... Problem 3.2.2P: -2. A plastic bar of diameter d = 56 mm is to be twisted by torques T (see figure) until the angle... Problem 3.2.3P: A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of... Problem 3.2.4P: A circular steel tube of length L = 1.0 m is loaded in torsion by torques T (see figure). (a) If the... Problem 3.2.5P: Solve the preceding problem if the length L = 56 in., the inner radius r1— 1.25 in., the angle of... Problem 3.2.6P: A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius... Problem 3.3.1P: A solid steel bar of circular cross section has diameter d = 2.5 in., L = 60 in., and shear modulus... Problem 3.3.2P: A solid copper bar of circular cross section has length L = 1.25 m and shear modulus of elasticity G... Problem 3.3.3P: Repeat Problem 3.3-1, but now use a circular tube with outer diameter d0= 2.5 in. and inner diameter... Problem 3.3.4P: A copper tube with circular cross section has length L = 1.25 m, thickness t = 2 mm, and shear... Problem 3.3.5P: A prospector uses a hand-powered winch (see figure) to raise a bucket of ore in his mine shaft. The... Problem 3.3.6P: When drilling a hole in a table leg, a furniture maker uses a hand-operated drill (see figure) with... Problem 3.3.7P: While removing a wheel to change a tire, a driver applies forces P = 25 lb at the ends of two of the... Problem 3.3.8P: -8 An aluminum bar of solid circular cross section is twisted by torques T acting at the ends (see... Problem 3.3.9P: A high-strength steel drill rod used for boring a hole in the earth has a diameter of 0.5 in. (see... Problem 3.3.10P: The steel shaft of a socket wrench has a diameter of 8.0 mm and a length of 200 mm (see figure). If... Problem 3.3.11P: A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure).... Problem 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable... Problem 3.3.13P: Three identical circular disks A, B, and Care welded to the ends of three identical solid circular... Problem 3.3.14P: The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see... Problem 3.3.15P: A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner... Problem 3.3.16P: Solve the preceding problem if the shaft has an outer diameter d2=150 mm and inner diameter d1= 100... Problem 3.3.17P: A vertical pole of solid, circular cross section is twisted by horizontal forces P = 1100 lb acting... Problem 3.3.18P: A vertical pole of solid, circular cross section is twisted by horizontal forces P = 5kN acting at... Problem 3.3.19P: A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the... Problem 3.3.20P: A hollow aluminum tube used in a roof structure has an outside diameter d2= 104mm and an inside d1=... Problem 3.3.21P: A circular tube of inner radius r1and outer radius r2is subjected to a torque produced by forces P =... Problem 3.4.1P: .1 A stepped shaft ABC consisting of two solid circular segments is subjected to torques ‘1 and T,... Problem 3.4.2P: A circular tube of outer diameter d3= 70 mm and inner diameter d2= 60 mm is welded at the right-hand... Problem 3.4.3P: A stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as shown... Problem 3.4.4P: A solid, circular bar ABC consists of two segments, as shown in the figure. One segment has a... Problem 3.4.5P: A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions... Problem 3.4.6P: A shaft with a solid, circular cross section consisting of two segments is shown in part a of the... Problem 3.4.7P Problem 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the... Problem 3.4.9P Problem 3.4.10P: -10. A tapered bar AB with a solid circular cross section is twisted by torques T(see figure). The... Problem 3.4.11P: A tapered bar AB with a solid circular cross section is twisted by torques T = 36,000 lb-in. (sec... Problem 3.4.12P: The bar shown in the figure is tapered linearly from end A to end B and has a solid circular cross... Problem 3.4.13P: The non prismatic, cantilever circular bar shown has an internal cylindrical hole from 0 to y, so... Problem 3.4.14P: A uniformly tapered tube AB with a hollow circular cross section is shown in the figure. The tube... Problem 3.4.15P: A uniformly tapered aluminum-alloy tube AB with a circular cross section and length L is shown in... Problem 3.4.16P: For the thin nonprismatic steel pipe of constant thickness t and variable diameter d shown with... Problem 3.4.17P: .17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the... Problem 3.4.18P: A prismatic bar AB of length L and solid circular cross section (diameter d) is loaded by a... Problem 3.4.19P: A prismatic bar AB with a solid circular cross section (diameter d) is loaded by a distributed... Problem 3.4.20P: A magnesium-alloy wire of diameter d = 4mm and length L rotates inside a flexible tube in order to... Problem 3.4.21P: A nonprismatic bar ABC with a solid circular cross section is loaded by distributed torques (sec... Problem 3.4.22P: -22 Two tubes (AB, BC) of the same material arc connected by three pins (pin diameter = d ) just... Problem 3.5.1P: A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends.... Problem 3.5.2P: A circular steel tube with an outer diameter of 75 mm and inner diameter of 65 mm is subjected to... Problem 3.5.3P: A hollow aluminum shaft (see figure) has an outside diameter d2= 4.0 in. and inside diameter d1= 2.0... Problem 3.5.4P: A hollow steel bar (G = 80 GPa ) is twisted by torques T (see figure). The twisting of the bar... Problem 3.5.5P: A tubular bar with outside diameterd2= 4.0 in, is twisted by torques T = 70,0 kip-in. (see figure).... Problem 3.5.6P: A solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing maching until the... Problem 3.5.7P: -7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5... Problem 3.5.8P: A solid circular bar of steel (G = 78 GPa) transmits a torque T = 360 N - m. The allowable stresses... Problem 3.5.9P: The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10... Problem 3.5.10P: An aluminum tube has inside diameter dx= 50 mm, shear modulus of elasticity G = 27 GPa, v = 0.33,... Problem 3.5.11P: -11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0... Problem 3.5.12P: A solid aluminum bar (G = 27 GPa ) of diameter d = 40 mm is subjected to torques T = 300 N - m... Problem 3.5.13P: Two circular aluminum pipes of equal length L = 24 in. arc loaded by torsional moments T (sec... Problem 3.7.1P: A generator shaft in a small hydroelectric plant turns at 120 rpm and delivers 50 hp (see figure).... Problem 3.7.2P: A motor drives a shaft at 12 Hz and delivers 20 kW of power (sec figure), If the shaft has a... Problem 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at... Problem 3.7.4P Problem 3.7.5P: The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as... Problem 3.7.6P: The drive shaft for a truck (outer diameter 60 mm and inner diameter 40 mm) is running at 2500 rpm... Problem 3.7.7P: A hollow circular shaft for use in a pumping station is being designed with an inside diameter equal... Problem 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The... Problem 3.7.9P: A propeller shaft of solid circular cross section and diameter d is spliced by a collar of the same... Problem 3.7.10P: What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm,... Problem 3.7.11P: A motor delivers 275 hp at 1000 rpm to the end of a shaft (see figure). The gears at B and Ctake out... Problem 3.7.12P Problem 3.8.1P: A solid circular bar ABCD with fixed supports is acted upon by torques T0and 2T0at the locations... Problem 3.8.2P: A solid circular bar A BCD with fixed supports at ends A and D is acted upon by two equal and... Problem 3.8.3P: A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A... Problem 3.8.4P: A ho 1 low st e el shaft ACB of outside diameter 50 mm and inside diameter 40 mm is held against... Problem 3.8.5P: A stepped shaft ACB having solid circular cross sections with two different diameters is held... Problem 3.8.6P: A stepped shaft ACB having solid circular cross sections with two different diameters is held... Problem 3.8.7P: A stepped shaft ACE is held against rotation at ends A and B and subjected to a torque T0acting at... Problem 3.8.8P: A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque... Problem 3.8.9P: Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a... Problem 3.8.10P: A circular bar AB of length L is fixed against rotation at the ends and loaded by a distributed... Problem 3.8.11P: A circular bar AB with ends fixed against rotation has a hole extending for half of its length (sec... Problem 3.8.12P: A solid steel bar of diameter d1= 25.0 mm is enclosed by a steel tube of outer diameter d3= 37.5 mm... Problem 3.8.13P: A solid steel bar of diameter d1= 1.50 in. is enclosed by a steel tube of outer diameter d3= 2.25... Problem 3.8.14P: The composite shaft shown in the figure is manufactured by shrink-Fitting a steel sleeve over a... Problem 3.8.15P: The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a... Problem 3.8.16P: A steel shaft (Gs= 80 GPa) of total length L = 3.0 m is encased for one-third of its length by a... Problem 3.8.17P: A uniformly tapered aluminum-ally tube AB of circular cross section and length L is fixed against... Problem 3.8.18P: Two pipes {L, = 2.5 m and L, = 1.5 m) are joined al B by flange plales (thickness (, = 14 mm) with... Problem 3.9.1P: A solid circular bar of steel (G = 1L4 × 106 psi) with length L = 30 in, and diameter d = 1.75 in,... Problem 3.9.2P: A solid circular bar of copper (G = 45 GPa) with length L = 315n m and diameter d = 40 mm is... Problem 3.9.3P: A stepped shaft of solid circular cross sections (see figure) has length L = 45 in., diameter d2=1.2... Problem 3.9.4P: A stepped shaft of solid circular cross sections (see figure) has length L = 0.80 m, diameter d2= 40... Problem 3.9.5P: A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated... Problem 3.9.6P: A cantilever bar of circular cross section and length L is fixed at one end and free at the other... Problem 3.9.7P: Obtain a formula for the strain energy U of the statically indeterminate circular bar shown in the... Problem 3.9.8P: A statically indeterminate stepped shaft ACE is fixed at ends A and B and loaded by a torque TQat... Problem 3.9.9P: Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has... Problem 3.9.10P: A thin-walled hollow tube AB of conical shape has constant thickness I and average diameters dAand... Problem 3.9.11P: A hollow circular tube A fits over the end of a solid circular bar B, as shown in the figure. The... Problem 3.9.12P: A heavy flywheel rotating at n revolutions per minute is rigidly attached to the end of a shaft of... Problem 3.11.1P: A hollow circular tube having an inside diameter of 10.0 in, and a wall thickness of 1.0 in. (see... Problem 3.11.2P: A solid circular bar having diameter d is to be replaced by a rectangular tube having... Problem 3.11.3P: A thin-walled aluminum tube of rectangular cross section (sec fig me) has a centerline dimensions b... Problem 3.11.4P: A thin-walled steel tube of rectangular cross section (see figure) has centerline dimensions b = 150... Problem 3.11.5P: A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used... Problem 3.11.6P: A thin-walled circular tube and a solid circular bar of the same material (see figure) are subjected... Problem 3.11.7P: A thin-walled steel tube having an elliptical cross section with constant thickness t (see figure)... Problem 3.11.8P: Calculate the shear stress and the angle of twist in degrees) for a steel tube (G = 76 GPa) having... Problem 3.11.9P: A torque T is applied to a thin-walled tube having a cross section in the shape of a regular hexagon... Problem 3.11.10P: Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the... Problem 3.11.11P: A tubular aluminum bar (G = 4 × 106 psi) of square cross section (see figure) with outer dimensions... Problem 3.11.12P: A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is... Problem 3.11.13P: A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of... Problem 3.11.14P: A long, thin-walled tapered tube AB with a circular cross section (see figure) is subjected to a... Problem 3.12.1P: A stepped shaft consisting of solid circular segments having diameters D1= 2.0 in, and D2= 2.4 in.... Problem 3.12.2P: A stepped shaft with diameters D1= 40 mm and D2= 60 mm is loaded by torques T = 1100 N · m (see... Problem 3.12.3P: A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0... Problem 3.12.4P: The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft... Problem 3.12.5P: A stepped shaft (see figure) has diameter D2= 1.5 in, and a full quarter-circular fillet. The... Problem 3.12.4P: The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft...
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Mechanics of deformable bodies
Transcribed Image Text: A SOLID circular shaft transmits 50 horsepower while operating at a rate of 150 rev/min.
If the shear stress in the shaft is limited to 4750 psi and the angle of twist is limited to 8.75°
with a length of 8 feet, find the smallest safe diameter of the shaft. Use G=12x10° psi for
steel.
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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