Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN: 9781305494695
Author: Larry Jeffus
Publisher: Cengage Learning
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Chapter 19, Problem 9R
Describe how to perform a free bend test to help identify root problems in a weld.
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The elastic bar from Problem 1 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. Under 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 (2) 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 also pinned at x = L.
Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).
The heated rod from Problem 3 is subject to a volumetric heatingh(x) = h0xLin units of [Wm−3], as shown in the figure below. Under theheat supply the temperature of the rod changes along x with thetemperature function T(x). The temperature T(x) is governed by thefollowing equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(4)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. Both ends of the bar are in contact with a heatreservoir at zero temperature.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
A heated rod of length L is subject to a volumetric heating h(x) = h0xLinunits of [Wm−3], as shown in the figure below. Under the heat supply thetemperature of the rod changes along x with the temperature functionT(x). The temperature T(x) is governed by the following equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(3)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. The left end of the bar is in contact with a heatreservoir at zero temperature, while the right end of the bar is thermallyinsulated.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
Chapter 19 Solutions
Welding: Principles and Applications (MindTap Course List)
Ch. 19 - The AWS SENSE Level 1 Workmanship Qualifications...Ch. 19 - What skills are needed to successfully complete...Ch. 19 - What type of inspection must the welds pass?Ch. 19 - List three items that can be checked during a...Ch. 19 - What is the maximum acceptable size of the face...Ch. 19 - What is the maximum weld size for lap and tee...Ch. 19 - What would be the maximum acceptable depth of...Ch. 19 - What is the maximum acceptable root face concavity...Ch. 19 - Describe how to perform a free bend test to help...Ch. 19 - What part of a weld is the free bend designed to...
Ch. 19 - How can the 1-in. (25-mm)-wide strips be cut out...Ch. 19 - What is the range of diameters of the filler metal...Ch. 19 - What welding current is used on the carbon steel...Ch. 19 - What are the F-number and A-numbers for the...Ch. 19 - Why are solvents or detergents needed?Ch. 19 - Why might it be necessary to reclean the part...Ch. 19 - What welding current is needed for the GTA welding...Ch. 19 - Why is a lace bead more easily controlled than a...Ch. 19 - What advantage is there in making a small root...Ch. 19 - Why should the filler passes on a single-V butt...
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