Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 15.2, Problem 24P
Draw the shear and moment diagrams for the shaft, and determine its required diameter to the nearest
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The shaft is supported by a journal bearing at A and a thrust
bearing at B. Determine the normal force, shear force and moment
at a section passing through (a) point C, which is just to right of
bearing at A, and (b) point D, which is just to the left of the Force F2.
Given:
F1 =
= 2.5 kip
F2 = 3 kip
lb
W = 75
ft
-
b = 12 ft
c = 2 ft
a = 6 ft
F2
D
a
b
The electric motor exerts a torque of 800 N- m on the steel shaft ABCD when it is
rotating at a constant speed. The angle of twist between A and D is limited to 1.50 degree. Use
maximum shear = 60 MPa and modulus of rigidity = 77 GPa. Solve its torque for each shaft AB
and BC. And determine the diameter of the Shaft based on strength.
300 N.m
500 N.m
0.4 m
0.6 m
0.3 m
Determine the smallest allowable diameter of the shaft which is subjected to the concentrated forces. The journal bearing at A and B only support vertical forces. The allowable bending stress is σallow= 160 MPa
Bearing A only receives forces in the radial direction of the bearing. Bearing B is a steering bearing and also carries longitudinal loads on the shaft.
F1= 10kN F2=23 kN
L1=420 mm L2= 310mm L3=540mm
Chapter 15 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 15.2 - Determine the minimum dimension a to the nearest...Ch. 15.2 - Prob. 2FPCh. 15.2 - Prob. 3FPCh. 15.2 - Determine the minimum dimension h to the nearest...Ch. 15.2 - Prob. 5FPCh. 15.2 - Select the lightest W410-shaped section that can...Ch. 15.2 - The beam is made of timber that has an allowable...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - The brick wall exerts a uniform distributed load...
Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Prob. 6PCh. 15.2 - Select the lightest-weight wide-flange beam with...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Select the lightest W360 wide-flange beam from...Ch. 15.2 - Investigate if the W250 58 beam can safely...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - The joists of a floor in a warehouse are to be...Ch. 15.2 - The timber beam has a width of 6 in. Determine its...Ch. 15.2 - The beam is constructed from four boards. If each...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - If the cable is subjected to a maximum force of P...Ch. 15.2 - If the W360 45 wide-flange beam has an allowable...Ch. 15.2 - If P = 800 lb, determine the minimum dimension a...Ch. 15.2 - If a = 3 in. and the wood has an allowable normal...Ch. 15.2 - The beam is constructed from three plastic strips....Ch. 15.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 15.2 - The beam is made of Douglas fir having an...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...
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- Determine the internal normal force at point C, if F = 48 kN . Determine the shear force at point C Determine the bending moment at point Carrow_forwardThe axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending Stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression.arrow_forwardDetermine the smallest allowable diameter of the shaft which is subjected to the concentrated forces. The journal bearing at A and B only support vertical forces. The allowable bending stress is σallow= 160 MPa F1= 10kN F2=18kN L1=500 mm L2= 400mm L3=590mmarrow_forward
- The tool shown is made up of an oak wood part. The tool works in torsion and the allowable shear stress for the wood is 213 psi. If the wooden handle has as a minimum section a circular area of diameter 1.4, find the maximum allowable torque T. Express the result in Ib-in with a decimal approximation T D Tarrow_forwardDetermine the absolute maximum bending stress in the tubular shaft if di = 160 mm and do = 200 mmarrow_forwardThe aluminum shaft, composed of three segments, is fastened to rigid supports at A and D. Calculate the maximum shear stress in each segment when the two torques are appliedarrow_forward
- The solid and hollow shafts are each subjected to the torque T. In each case, sketch the shearstress distribution along the two radial lines.arrow_forwardThe two solid steel shafts are connected by gears C and F and 9 in. 2,5 in. supported by smooth bearings at B, D, and E. The upper shaft is fixed at G. If the shear modulus is G = 11 x 10° ksi, determine the angle of rotation of end A when the torque of 700 lb - ft is аpplied. E 1.75 in. -3 in. 4 ft B 700 lb ft 5 ftarrow_forwardThe shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core. If it is fixed to a rigid support at A, and a torque of T = 50 lb.ft is applied to it at C, determine the rotation angle that occurs at C relative to A and compute the maximum shear stress and maximum shear strain in the brass and steel. Take Gst = 11500 ksi, Gbr = 5600 Ksi. 3 ft 0.5 in. B 1 in. T = 50 lb•ftarrow_forward
- Determine the absolute maximum bending stress in the 80-mm-diameter shaft which is subjected to the concentrated forces. There is a journal bearing at A and a thrust bearing at B.arrow_forwardThe compound shaft made from the same material consisting of two segments AC and CB is firmly attached to rigid supports. The allowable shear stress in the shaft is limited to 5500 psi. Determine the maximum torque TO that may be applied at C. Calculate also the angular rotation incurred by segment BC. Use G= 12 x 106 psi.arrow_forwardThe axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression. A B 250 mm 100 kN 1500 mm- Answer 0= +98 MPa 250 mm 100 kNarrow_forward
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