MECHANICS OF MTRLS(LL)-W/ACCESS>CUSTOM<
7th Edition
ISBN: 9781259713156
Author: BEER
Publisher: MCG CUSTOM
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Chapter 8.2, Problem 21P
To determine
Show that the maximum shearing stress at point K as
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A hollow steel drive shaft (G = 11.2 × 106 psi) is 8 ft long and its outer and inner diameters are respectively equal to 2.50 in. and 1.25 in. Know that the shaft transmits 200 hp while rotating at 1570 rpm.Determine the maximum shearing stress (Ksi)
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The design specifications of a 1.2-m-long solid transmission shaft require that the angle of twist of the shaft not exceed 4° when a torque of 750 N·m is applied. Determine the required diameter of the shaft, knowing that the shaft is made of a steel with an allowable shearing stress of 90 MPa and a modulus of rigidity of 77.2 GPa.
Chapter 8 Solutions
MECHANICS OF MTRLS(LL)-W/ACCESS>CUSTOM<
Ch. 8.2 - A W10 = 39 rolled-steel beam supports a load P as...Ch. 8.2 - Solve Prob. 8.1, assuming that P = 22.5 kips and a...Ch. 8.2 - An overhanging W920 449 rolled-steel beam...Ch. 8.2 - Solve Prob. 8.3, assuming that P = 850 kN and a =...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...
Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Prob. 12PCh. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Using the notation of Sec. 8.2 and neglecting the...Ch. 8.2 - The 4-kN force is parallel to the x axis, and the...Ch. 8.2 - The vertical force P1 and the horizontal force P2...Ch. 8.2 - The two 500-lb forces are vertical and the force P...Ch. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shafts ABC and DEF and the gears shown...Ch. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - The cantilever beam AB has a rectangular cross...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - Prob. 37PCh. 8.3 - Two forces are applied to the pipe AB as shown....Ch. 8.3 - Several forces are applied to the pipe assembly...Ch. 8.3 - The steel pile AB has a 100-mm outer diameter and...Ch. 8.3 - Three forces are applied to a 4-in.-diameter plate...Ch. 8.3 - The steel pipe AB has a 72-mm outer diameter and a...Ch. 8.3 - A 13-kN force is applied as shown to the...Ch. 8.3 - A vertical force P of magnitude 60 lb is applied...Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Prob. 46PCh. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Three forces are applied to the machine component...Ch. 8.3 - Prob. 52PCh. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Prob. 57PCh. 8.3 - Four forces are applied to a W8 28 rolled-steel...Ch. 8.3 - A force P is applied to a cantilever beam by means...Ch. 8.3 - Prob. 60PCh. 8.3 - A 5-kN force P is applied to a wire that is...Ch. 8.3 - Knowing that the structural tube shown has a...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8 - (a) Knowing that all = 24 ksi and all = 14.5 ksi,...Ch. 8 - Neglecting the effect of fillets and of stress...Ch. 8 - Knowing that rods BC and CD are of diameter 24 mm...Ch. 8 - The solid shaft AB rotates at 450 rpm and...Ch. 8 - A 6-kip force is applied to the machine element AB...Ch. 8 - A thin strap is wrapped around a solid rod of...Ch. 8 - A close-coiled spring is made of a circular wire...Ch. 8 - Forces are applied at points A and B of the solid...Ch. 8 - Knowing that the bracket AB has a uniform...Ch. 8 - For the post and loading shown, determine the...Ch. 8 - Knowing that the structural tube shown has a...Ch. 8 - The cantilever beam AB will be installed so that...
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- The design specifications of a 2-m-long solid circular transmission shaft require that the angle of twist of the shaft not exceed 3° when a torque of 9 kN·m is applied. Determine the required diameter of the shaft, knowing that the shaft is made of (a) a steel with an allowable shearing stress of 90 MPa and a modulus of rigidity of 77 GPa, (b) a bronze with an allowable shearing stress of 35 MPa and a modulus of rigidity of 42 GPaarrow_forwardA 2-in diameter steel shaft rotates at 240 rpm. If the shearing stress is limited to 12 ksi, determine the maximum horsepower that can be transmitted.arrow_forward1. A steel shaft is to be manufactured either as a solid circular or as circular tube. The shaft is required to transmit a torque of 1200 Nm without exceeding an allowable shear stress of 40 MPa, nor an allowable rate of twist of 0.75º/m. For G = 78GPa, determine: a. The required diameter do of the solid shaft.b. The required outer diameter d2 of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter.c. The ratio of diameters (that is, the ratio d2/do and the ratio of the weights of the hollow and solid shafts.arrow_forward
- Three shafts and four gears are used to form a gear train that will transmit 6.7 kW from the motor at A to a machine tool at F. (Bearings for the shafts are omitted in the sketch.) Knowing that the frequency of the motor is 30 Hz and that the allowable stress for each shaft is 60 MPa, determine the required diameter of each shaft. The required diameter of shaft AB is mm. The required diameter of shaft CD is mm. The required diameter of shaft EF is mm.arrow_forwardA 88-N·m torque is applied to a hollow shaft having the cross section shown. Neglecting the effect of stress concentrations, determine the shearing stress at points a and b. The shearing stress at point a is MPa. The shearing stress at point b is MPa.arrow_forwardA steel shaft must transmit 150 kW at a speed of 360 rpm. Knowing that G = 77.2 GPa, design a solid shaft so that the maximum shearing stress will not exceed 50 MPa and the angle of twist in a 2.8-m length must not exceed 3°. Consider the frequency f to be 6 Hz. The diameter of the solid shaft is -- mmarrow_forward
- A steel shaft is to be manufactured either as a solid circular or as circular tube. The shaft is required to transmit a torque of 1200 Nm without exceeding an allowable shear stress of 40 MPa, nor an allowable rate of twist of 0.75º/m. For G = 78GPa, determine: The required diameter do of the solid shaft. The required outer diameter d2 of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter. The ratio of diameters (that is, the ratio d2/do and the ratio of the weights of the hollow and solid shafts. 1arrow_forwardA 4 inches diameter steel shaft rotates at 245 rpm. if the shearing stress is limited to 11 ksi, determine the maximum horsepower(hp) that can be transmitted.arrow_forwardWhile an oil well is being drilled at a depth of 2100 m, it is observed that the top of the 200-mm-diameter steel drill pipe (G = 77.2 GPa) rotates through 2.5 revolutions before the drilling bit starts to operate. Determine the maximum shearing stress caused in the pipe by torsion.arrow_forward
- Knowing that the internal diameter of the hollow shaft shown is d = 0.9 in., determine the maximum shearing stress caused by a torque of magnitude T = 9 kip·in.arrow_forwardUnder normal operating conditions, a motor exerts a torque of magnitude TF at F. The shafts are made of a steel for which the allowable shearing stress is 12 ksi and have diameters dCDE = 0.900 in. and dFGH = 0.800 in. Knowing that rD = 6.5 in. and rG = 4.4 in., determine the largest allowable value of TF.arrow_forwardUnder normal operating conditions, the electric motor exerts a torque of 2.4 kN·m on shaft AB. Each shaft is solid with diameter d 52 mm. In order to reduce the total mass of the assembly, a new design is being considered in which the diameter of shaft BC will be smaller. Determine the smallest diameter of shaft BC for which the maximum value of the shearing stress in the assembly will not be increased. The smallest diameter of shaft BC is mm.arrow_forward
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