EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 31, Problem 3P
Apply the results of Prob. 31.2 to compute the temperature distribution for the entire rod using the finite-element approach.
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A container filled with 70 kg of liquid water at 95°C is placed in a 90-m3 room that is initially at 12°C. Thermal equilibrium is established after a while as a result of heat transfer between the water and the air in the room. Assume the room is at the sea level, well sealed, and heavily insulated.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Determine the amount of heat transfer between the water and the air in the room.
The amount of heat transfer between the water and the air in the room is kJ.
A strain gauge rosette that is attached to the surface of a stressed component
gives 3 readings (ɛa = A, b = B, &c = C). If the strain gauge rosette is of the D°
type (indicating the angle between each of the gauges), construct a Mohr's Strain
Circle overleaf. You should assume that gauge A is aligned along the x-axis.
Using the Mohr's Strain Circle calculate the:
(i) principal strains (ε1, 2)?
(ii) principal angles (1, 2)?
You should measure these anticlockwise from the y-axis.
(iii) maximum shear strain in the plane (ymax)?
Q1.
If the yield stress (σy) of a material is 375MPa, determine whether yield is
predicted for the stresses acting on both the elements shown below using:
(a) Tresca Criterion
(b) Von Mises Criterion
P
Element A
R
S
Element B
Note: your values for P (vertical load on Element A) should be negative (i.e.
corresponding to a compressive vertical load).
Chapter 31 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 31 - 31.1 Repeat Example 31.1, but for and a uniform...Ch. 31 - Repeat Example 31.2, but for boundary conditions...Ch. 31 - Apply the results of Prob. 31.2 to compute the...Ch. 31 - Use Galerkins method to develop an element...Ch. 31 - Prob. 5PCh. 31 - 31.6 Develop a user-friendly program to model the...Ch. 31 - 31.7 Use Excel to perform the same computation as...Ch. 31 - Use MATLAB or Mathcad to develop a contour plot...Ch. 31 - 31.9 Use Excel to model the temperature...Ch. 31 - 31.10 Use MATLAB or Mathcad to develop a contour...
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