STATICS+MECHANICS OF MATERIALS-ACCESS
2nd Edition
ISBN: 9781259748660
Author: BEER
Publisher: MCG
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A 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.
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.
Under 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.
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- A torque of magnitude T= 120 N·m is applied to shaft AB of the gear train shown. Knowing that the allowable shearing stress is 75 MPa in each of the three solid shafts, determine the required diameter of (a) shaft AB, (b) shaft CD, (c) shaft EF.arrow_forwardA torque of magnitude T= 100 N·m is applied to shaft AB of the gear train shown. Knowing that the diameters of the three solid shafts are, respectively, dAB= 21 mm, dCD= 30 mm, and dEF= 40 mm, determine the maximum shearing stress in (a) shaft AB, (b) shaft CD, (c) shaft EF.arrow_forwardA torque of magnitude T = 900 N.m is applied at D as shown. Knowing thatthe diameter of shaft AB is 60 mm and that the diameter of shaft CD is 45mm, determine the maximum shearing stress in (a) shaft AB, (b) shaft CD.arrow_forward
- The torques shown are exerted on pulleys A and B. Consider TA = 270 N·m and TB = 400 N·m. Knowing that both shafts are solid, determine the maximum shearing stress in shaft BC. The maximum shearing stress in shaft BC is ____ MPa.arrow_forwardA 2550-N·m torque T is applied to the hollow shaft as shown. Determine the diameter of a solid shaft for which the maximum shearing stress under the loading shown is the same as in part (a). The diameter of the solid shaft is ____ mm.arrow_forwardA 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)arrow_forward
- Determine the maximum shearing stress (MPa) in a solid shaft of 60-mm diameter as it transmits 91 kW at a speed of 175 rpm.arrow_forwardA flanged bolt coupling consists of eight steel 20-mm bolts spaced evenly around a bolt circle of 300mm in diameter. Determine the torque capacity of the coupling if the allowable shearing stress in the bolts is 40MPaarrow_forwardDetermine the torque T that causes a maximum shearing stress of 70 MPa in the steel cylindrical shaft shownarrow_forward
- A 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_forwardThe preliminary design of a motor-to-generator connection calls for the use of a large hollow shaft with inner and outer diameters of 4 in. and 6 in., respectively. Knowing that the allowable shearing stress is 12 ksi, determine the maximum torque that can be transmitted by (a) the shaft as designed, (b) a solid shaft of the same weight, and (c) a hollow shaft of the same weight and an 8-in. outer diameter.arrow_forwardTwo solid steel shafts are connected by the gears shown. Knowing that for each shaft G= 11.2 * 106 psi and the allowable shearing stress is 8 ksi, determine (a) the largest torque T0 that may be applied to end A of shaft AB and (b) the corresponding angle through which end A of shaft AB rotates.arrow_forward
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