Prob. 4.5-9. Use the following data with Fig. P4.5-9:G = 11 × 10° psi, L1= 10 in., L2= 15 in., L3 = 20 in.,TA =200 lb · ft, TB = -350 lb · ft, Tc = -150 lb · ft,%3DTp300 lb · ftIf AD is a solid shaft with diameter d = 1.5 in., determine therelative twist angle (in radians) between ends A and D, thatis, determine ÞD/A = Þp – ¢A. dТАTBTcTDL3P4.5-7, P4.5-8, and P4.5-9

Answered: Image /qna-images/answer/b9f1c8fd-ecd1-44f8-be4d-058fa0c59721.jpg

Prob. 4.5-9. Use the following data with Fig. P4.5-9: G = 11 × 10° psi, L1 = 10 in., L2 = 15 in., L3 = 20 in., TA = 200 lb · ft, TB = -350 lb · ft, Tc = -150 lb · ft, %3D Tp = 300 lb · ft %3D If AD is a solid shaft with diameter d = 1.5 in., determine the relative twist angle (in radians) between ends A and D, that is, determine Þp/A = Þp – ¢A-

Prob. 4.5-9. Use the following data with Fig. P4.5-9: G = 11 × 10° psi, L1 = 10 in., L2 = 15 in., L3 = 20 in., TA = 200 lb · ft, TB = -350 lb · ft, Tc = -150 lb · ft, %3D Tp = 300 lb · ft %3D If AD is a solid shaft with diameter d = 1.5 in., determine the relative twist angle (in radians) between ends A and D, that is, determine Þp/A = Þp – ¢A-

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...

See similar textbooks

Similar questions

Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3, and q = 325 lb/ft.
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
"Prob. 4.5-16. The aluminum-alloy shaft AÐ in Fig. P4.5-16 (G= 3.8 x 103 ksi) has a 40-in.-long tubular section AC and a 30-in.-long solid section CD. The diameters are (d): (do): d₂ = 2.0 in. and (d) = (d) = 1.75 in. A 2 kip in. torque acts at section B. What is the allowable torque T₁ = 0 that may be added at end A if the angle of rotation at A is not to exceed (.) allow = 0.10 rad, and the magnitude of the shear stress is not to exceed allow = 4 ksi anywhere in the shaft? 2 kip-in. Jak 20 in. P4.5-16 (3) 20 in. 30 in.
GIVEN: 80 kN 30 kN/m 3 m- 2m 2m FIND: Solve for the internal forces at (a) 0.5m, (b) 1m, (c) 3m, & (d) 6m.
An oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kgand radius R = 10.9 cm.The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are to be calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest. Answer these parts: (g) Eliminate ? from the rotational second law with the expression found in part (d) and find a symbolic expression for the acceleration a in terms of m, M, g, r and R. a = (h) What is the numeric value for the system's acceleration? m/s2(i) What is the tension in the string? N(j) How long does it take the system to drop 1.17 m from rest? s
From the figure below, a shaft consists of different sections. Bar (a) is a hollow bar and has an outer d = 0.2m and thickness of 10 mm. Bar (b) is also a hollow bar with outer d = 0.15 m with same thickness as bar (a). If T1= 42,000 N-m and T2 = 18,000 N-m, Find the max shear stress in bar (b). Answer in MPa.
The ventilator door in Fig. P6-11 is held in the horizontal position by cable AB. Find the rectangular com- ponents of tension T in cable AB acting at A. 2 ft B | 5 ft 4 ft T= 300 lb 8 ft A 100 FIGURE P6-11
A ladder carried by a fire truck is 20.0 m long. The ladder weighs 3400 N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Fig. ); ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is 8.0 m from A, and the force F S exerted by the piston makes an angle of 40° with the ladder. What magnitude must F S have to just lift the ladder off the support bracket at B? Start with a free-body diagram of the ladder.
A torque of 10 kN - m is supplied to the steel (G = 80 GPa) factory drive shaft of Fig. P7-8 by a belt that drives pulley A. A torque of 6 kN - m is taken off by pulley B and the remainder by pulley C. Shafts AB and Ac are 2.25 m and 1.60 m long, respectively. If the diameter of shaft AB is 80 mm and the diameter of shaft ACis 65 mm, determine (a) The maximum shearing stress in each of the shafts. (b) The angle of twist of pulley B with respect to pulley A. (c) The angle of twist of pulley Cwith respect to pulley 8. Figure P7-8 B -Bearing
Problem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the basic theory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaft shown in Figure.5. g= 6.5(10°) N/cm² 8 = 0.035 deg 0.5 cm 0.5 cm L0.5 cm- 0.5 cm Figure.5: Squared cross section shaft applied to torque T as 3D model Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to two- dimensional (2D). b. If the governing boundary value problem equation of such a problem can be given by: а. + dy2 + 2g = 0, $(x,y) at boundary is 0 dx2 where g is the shear modulus and 0 is angle of twist for each element, respectively. Make use of the 2D layout that is demonstrated in Figure.5, perform the followings: 1. Justify your mesh/grid division for this problem in terms of complication of geometry or materials compositions.
Q4. A flanged protective type coupling is required to transmit 50 kW at 2000 r.p.m.. Find: (a) Shaft diameters if the driving shaft is hollow with d/d = 0.6 and driven shaft is a solid shaft. Take t= 100 MPa. (b) Diameter of bolts, if the coupling uses four bolts. Take o = o, = 70 MPa and T 25 MPa. Assume pitch circle diameter as about 3 times the outside diameter of the hollow shaft. (c) Thickness of the flange and diameter of the hub. Assume o = 100 MPa and t = 125 MPa.
Ex: A Torque (T) is applied to a solid taper shaft with built-in ends, as shown in Figure , Determine the angle of rotation at the free end. D2 D1 T (kN-m) L(m) T(kN-m) D1 (mm) D2 (mm) G (GPa) 29 60 160 80