EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 32, Problem 14P
Perform the same computation as in Sec. 32.4, but use aforce of 2 and five springs with
| Spring | 1 | 2 | 3 | 4 | 5 |
| k | 0.25 | 0.5 | 1.5 | 0.75 | 1 |
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Students have asked these similar questions
7. Consider an element that conducts heat as shown below with length L, cross sectional area
A, and heat conductance k. Nodes 1 and 2 have temperatures of T, and T2. The heat flux
q due to conduction is given by:
dT
ΔΤ
q = - k
dx
Ax
This relationship is analogous to Hooke's Law from the prior problem. Heat transfer by
conduction Qc is given by:
Oc = qA
Use equilibrium requirements to solve for the heat transfer by conduction Qci and Qcz at
the nodes and use these equations to derive a "conductance matrix" (or the stiffness matrix
due to conduction which is the analog of the stiffness matrix) for this heat conducting
element. For the sign convention, consider heat flux positive when heat flows into the
element and negative when it flows out of the element. Show your full matrix equation
and the conductance matrix.
Oci
T
T2
Oc2
2
45°
AZ.
4.4.1
Solve for d1, 02, 03 using the geometric method:
Use a step size of 0.1 and round your answers to five decimal places if needed.
Use Euler's method to approximate the solution x10 for the IVP
y' 8y, y(0) 1.
The Euler approximation for x10 is
Chapter 32 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 32 - Perform the same computation as in Sec. 32.1, but...Ch. 32 - 32.2 Develop a finite-element solution for the...Ch. 32 - Compute mass fluxes for the steady-state solution...Ch. 32 - Compute the steady-state distribution of...Ch. 32 - Two plates are 10cmapart, as shownin Fig.P32.5....Ch. 32 - 32.6 The displacement of a uniform membrane...Ch. 32 - 32.7 Perform the same computation as in Sec....Ch. 32 - The flow through porous media can be described by...Ch. 32 - 32.9 The velocity of water flow through the...Ch. 32 - 32.10 Perform the same computation as in Sec....
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