EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220102804487
Author: BEER
Publisher: YUZU
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Chapter 8.2, Problem 27P
To determine
The smallest diameter of shaft ABC.
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The design specifications for the gear-and-shaft system shown require that the same diameter be used for both shafts and that the angle through which pulley A will rotate when subjected to a 2-kip·in. torque TA while pulley D is held fixed will not exceed 7.5°. Determine the required diameter of the shafts if both shafts are made of a steel with G= 11.2 × 106 psi and τall= 12 ksi.assuming that both shafts are made of a brass with G= 5.6 × 106 psi and τall= 8 ksi.
The electric motor below, exerts a torque of 800 N.m on the steel shaft ABCD when it
rotates at constant speed. Design specifications require that the shaft diameter be
uniform from A to D and that the angle of twist between A and D not exceed 1.5°.
Knowing that tmax < 60 MPa e G = 77.2 GPa, determine the minimum shaft diameter that
can be used.
300 N-m
500 N-m
B
D
0.4 m
0.6 m
0.3 m
machine tools connected to gears G and H. Knowing that Tall= 50 Mpa and that 30
kW is taken off at gear G and 15 kW is taken off at gear H, determine the smallest
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The solid shaft AE rotates at 500 rpm and transmits 45 kW from the motor M to the
100 mm
150 mm
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75 mm
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100 mm
Chapter 8 Solutions
EBK MECHANICS OF MATERIALS
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Two shafts, each of 78-in.-diameter, are connected by the gears shown. Knowing that G= 11.2 ×106 psi and that the shaft at F is fixed, deter-mine the angle through which end A rotates when a 1.2 kip·in.-torque is applied at A.arrow_forwardSolve it correctly please.arrow_forwardTwo solid shafts are connected by gears as shown. Knowing that G = 77.2 GPa for each shaft, determine the angle through which end A rotates when TA = 1200 N •m. 60 mm 240 mm 80 mm 42 mm 12 marrow_forward
- The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that tmay s 60 MPa and that the angle op through which end D of shaft CD rotates not exceed 1.5 degrees. Knowing that G = 77.2 GPa, determine the required diameter of the shafts. 40 mm T = 1000 N-m D 100 mm 400 mm 600 mm ANSWER: mm (use 3 significant figures)arrow_forwardThe design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that τmax ≤ 60 MPa and that the angle φD through which end D of shaft CD rotates not exceed 1.5°. Knowing that G = 77.2 GPa, determine the required diameter of the shafts.arrow_forward3) The electric motor exerts a torque of 600 N.m on the steel shaft ABCD when it is rotating at a constant speed. Design specifications require that the diameter of the shaft be uniform from A to D and that the angle of twist between A and D not exceed 1.5°. Knowing that t max < 65 MPa and G = 77 GPa, determine the minimum diameter the shaft that can be used. 200 N.m 400 N.m 0.6 m -0.8m -0.3m-arrow_forward
- 2- The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that $ 60 MPa and that the angle do through which end D of shaft CD rotates not exceed 1.5°. Knowing that G= 77 GPa, determine the required diameter of the shafls. 400 mm 40 mm 100 mm 600 mm T= 1000 Narrow_forward30 mm PROBLEM 3.36 30 mm The torques shown are exerted on pulleys B, C, and D. Knowing that the entire shaft is made of steel (G = 27 GPa), determine the angle of twist between (a) C and B, (b) D and B. 400 N. m 36 mm 900 N- m 36 mm 500 N- m u 90. 0.8 m 1 m 0.5 m PBC = 8.54° PBD = 2.11° %3Darrow_forwardIn the bevel-gear system shown, α = 18.43°. Knowing that the allowable shearing stress is 13 ksi in each shaft and that the system is in equilibrium, determine the largest torque TA that can be applied at A. The largest torque that can be applied at A is lb·in.arrow_forward
- The composite shaft shown consists of a 0.2-in.-thick brass jacket (Gbrass= 5.6 × 106 psi) bonded to a 1.2-in.-diameter steel core (Gsteel=11.2 × 106 psi). Knowing that the shaft is being subjected to the torques shown, determine the largest angle through which it can be twisted if the following allowable stresses are not to be exceeded: τsteel=15 ksi and τbrass= 8 ksi.arrow_forward3.42 The angle of rotation of end A of the gear-and-shaft system shown must not exceed 4°. Knowing that the shafts are made of a steel for which Tall = 65 MPa and G = 77.2 GPa, determine the largest torque T that can be safely applied at end A. 30 mm B Tahap 60 mm 90 mm 30 mm 0.2 m 0.4 m 0.2 m 0.1 m 0.5 marrow_forwardEXERCISE 7 Three shafts and four gears are used to form a gear train that will transmit 7.5 kW from the motor at A to a machine tool at F (Figure 4). (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: 150 mm (a) shaft AB. Ans dAB: 15 mm 150 mun (b) shaft CD. Ans dcp: 20.4 mm D. 60 mm 60 (c) shaft EF B. Ans dEF: 27.6 mmarrow_forward
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