Loose Leaf For Design Of Machinery (mcgraw-hill Series In Mechanical Engineering)
Loose Leaf For Design Of Machinery (mcgraw-hill Series In Mechanical Engineering)
6th Edition
ISBN: 9781260431308
Author: Robert L. Norton
Publisher: McGraw-Hill Education
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Draw the free-body diagram for the pinned assembly shown. Find the magnitude of the forces acting on each member of the assembly. 1500 N 1500 N C 45° 45° 45° 45° 1000 mm
An elastic bar of length L spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω 2 x. Due to this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (1) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0, and it is free at x = L.   Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).
With reference to the given figure: a) Draw a free-body diagram of the structure supporting the pulley. b) Draw shear and bending moment diagrams for both the vertical and horizontal portions of the structure. 48 in. 100 lb 12 in. Cable 27 in. 12-in. pulley radius 100 lb Cable
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