EBK MINDTAP FOR HERMAN'S UNDERSTANDING
4th Edition
ISBN: 9781337798761
Author: Herman
Publisher: VST
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Chapter 17, Problem 2RQ
What type of metal remains in a liquid state at room temperature?
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Question 1
Consider the bar, shown in Figure 1, that undergoes axial displacement due to both a distributed load
and a point force. The bar is of cross-sectional area A = 1.103 m2, and has a modulus of elasticity
E = 100 GPa.
1(x) = 5 kN/m
10 kN
X
x=0.0
x=2.0
2.0m
Figure 1: Bar domain with varying distributed forces.
a) The general form of the governing equations describing the bar's displacement, u(x), is given by,
d
(AE du(x)) + 1(x) = 0.
dx
dx
What are the accompanying boundary conditions for this bar?
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80
F3
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Answer B
Chapter 17 Solutions
EBK MINDTAP FOR HERMAN'S UNDERSTANDING
Ch. 17 - Should a metal bar be heated or cooled to make it...Ch. 17 - What type of metal remains in a liquid state at...Ch. 17 - How is a bimetal strip made?Ch. 17 - Why are bimetal strips often formed into a spiral...Ch. 17 - Why should electrical contacts never be permitted...Ch. 17 - What two factors determine the amount of voltage...Ch. 17 - What is a thermopile?Ch. 17 - What do the letters RTD stand for?
Ch. 17 - What type of wire is used to make an RTD?Ch. 17 - What material is a thermistor made of?
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- CFD help Figure 3: Advection equation, solution for three different timesteps. Q1) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep.arrow_forwardanswer pleasearrow_forwardFigure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6 0.4- 0.2 0.0 00 -0.2 -0.4 -0.6- 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps.arrow_forward
- Question 2 Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6- 0.4- 0.2- 0.0- -0.2- -0.4- -0.6 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps. a) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep. b) Consider explicit schemes with central and upwind discretisations. Explain how each of these candidate discretisations could produce the behaviour shown in Figure 3. c) Determine the CFL number that was used in the simulation for each of the candidate schemes for all possible updates. Assume that the timestep and mesh-width used are constant. Read the data to two digits of accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3. Demonstrate your method and input data for one calculation, but then use a…arrow_forwardanswer pleasearrow_forwardProvide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first. second and third timestep.arrow_forward
- What are the accompanving boundary conditions for this bar?arrow_forward1.1 Consider the fireclay brick wall of Example 1.1 that is operating under different thermal conditions. The tem- perature distribution, at an instant in time, is T(x) = a+ bx where a 1400 K and b = -1000 K/m. Determine the heat fluxes, q", and heat rates, q, at x = 0 and x = L. Do steady-state conditions exist?arrow_forward2.4 To determine the effect of the temperature dependence of the thermal conductivity on the temperature dis- tribution in a solid, consider a material for which this dependence may be represented as k = k₁ + aT where k, is a positive constant and a is a coefficient that may be positive or negative. Sketch the steady-state temperature distribution associated with heat transfer in a plane wall for three cases corresponding to a > 0, a = 0, and a < 0.arrow_forward
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