MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
6th Edition
ISBN: 9781305636309
Author: J. Duncan Glover; Thomas Overbye; Mulukutla S. Sarma
Publisher: Cengage Learning US
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Chapter 6, Problem 6.38P
To determine
The value of
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Write a algorithm for 2-D steady state heat transfer where all walls are subjected to Diritchlet Boundary condition.
East wall =
100 dc
South Wall
150 dc
North wall = 150 dc
West wall
100 dc
%3D
Plate maintained at 30 dc.
The current and voltage across a circuit element are given by the equations
I(t) = 20e 100t (mA), V(t) = 105e-1⁰⁰t (V)
Determine the total energy
E dissipated by the element
between t=0 and t=10ms. The instantaneous power dissipated by the
element is P(t) = 1(t)V (t). Find the total energy E by integrating P(t) over
the time interval from t=0 to t=10ms=0.01sec. To do so, use the function
trapez(fn, a, b, h), which implements the trapezoidal rule for numerical
integration and where fn is a function handle to a function that needs to be
integrated, a and b are the integral limits and h is the step length. Write in
Matlab the function that needs to be integrated and call function trapez with
appropriate parameters.
A uniform beam subject to a linearly increasing distributed load is shown below. The equation for the
beam deflection (y) is
Wo
L
Wo
-(-x' + 2Ľ²X³ – L*x)
y =
120EIL
(а)
(x = 0, y = 0)
(x = L, y = 0)
(b)
where L = 600 cm, I = 30,000 cm*, and wo = 2.5 kN/cm. Write an m-file that uses the modified secant
method with perturbation factor 8 = 0.1 to determine the location (xmax) of the maximum deflection in the
beam, which occurs where dy/dx = 0. Use a stopping criterion of ɛa< 0.0001%.Your plot from problem 4
in homework 1 may help to provide an initial guess of the location. To evaluate the effect of material
properties on the beam's deflection, the m-file must create a plot of the value of the maximum deflection
for 100 equally spaced E values ranging from 30,000 kN/cm? to 70,000 kN/cm?. Label your axes
appropriately. Turn in a printout of your code and a printout of the plot. Also state the x location of the
point of maximum deflection.
Chapter 6 Solutions
MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
Ch. 6 - For a set of linear algebraic equations in matrix...Ch. 6 - For an NN square matrix A, in (N1) steps, the...Ch. 6 - Prob. 6.9MCQCh. 6 - Prob. 6.11MCQCh. 6 - Using Gauss elimination, solve the following...Ch. 6 - Prob. 6.9PCh. 6 - Determine the bus admittance matrix (Ybus) for the...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38P
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