Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 11.4, Problem 11.40P
To determine
The minimum diameter (d) of the solid shaft.
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A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in
The torsional stiffnesses of the two segments of the shaft are given by ka = 3,000 N-m/rad
and k2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(t) = Mo cos
wt about the shaft axis with M, = 200 N-m and w = 500 rads. The mass moment of inertia
of the rotor about the shaft axis is Jo = 0.05 kg-m. Assuming the equivalent torsional
damping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state response
of the rotor, 6(1).
O(1)
ke
M(1) = M, cos ot
Turbine rotor, Jo
A turbine rotor is mounted on a stepped shaft that is fixed at both ends in parallel as shownbelow. The torsional stiffnesses of two segments of the shaft are given by kt1 = 3000N-m/rad and kt2 = 4000 N-m/rad. The turbine generates a harmonic torque given byM(t) = M0 cos ωt about the shaft axis with M0 = 200 N-m and ω = 500 rad/s. The massmoment of inertia of the rotor about the shaft axis is J0 = 0.05 kg-m2. Assuming theequivalent torsional damping constant of the system as ct = 2.5 N-m-s/rad, determinethe equation of motion and the steady-state response of the rotor, θ(t)
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shownbelow. The torsional stiffnesses of two segments of the shaft are given by kt1 = 3000N-m/rad and kt2 = 4000 N-m/rad. The turbine generates a harmonic torque given byM(t) = M0 cos ωt about the shaft axis with M0 = 200 N-m and ω = 500 rad/s. The massmoment of inertia of the rotor about the shaft axis is J0 = 0.05 kg-m2. Assuming theequivalent torsional damping constant of the system as ct = 2.5 N-m-s/rad, determinethe equation of motion and the steady-state response of the rotor, θ(t)
Chapter 11 Solutions
Mechanics of Materials (10th Edition)
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - If each nail can support a shear force of 200 lb....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - Determine its height h so that it simultaneously...Ch. 11.2 - The beam is constructed from four boards. If each...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - If the glue can support a shear stress of allow, =...Ch. 11.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 11.2 - Determine the width b if the height h=2b.Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - Determine the maximum load that can safely be...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - The tapered beam supports a uniform distributed...Ch. 11.4 - The tapered beam supports the concentrated force P...Ch. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - The pulleys fixed to the shaft are loaded as...Ch. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.3RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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