Numerical Methods For Engineers, 7 Ed
Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 24, Problem 23P

Water exerts pressure on the upstream face of a dam as shown in Fig. P24.23. The pressure can be characterized by

Chapter 24, Problem 23P, 24.23	Water  exerts  pressure  on  the  upstream  face  of  a  dam  as shown in Fig. P24.23. The

FIGURE P24.23

Water exerting pressure on the upstream face of a dam: (a) side view showing force increasing linearly with depth; (b) front view showing width of dam in meters.

d = 0 D ρ g z ω ( z ) ( D z ) d z 0 D ρ g ω ( z ) ( D z ) d z

Use Simpson's rule to compute f t  and  d . Check the results with your computer program for the trapezoidal rule.

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Chapter 24 Solutions

Numerical Methods For Engineers, 7 Ed

Ch. 24 - One of your colleagues has designed a new...Ch. 24 - Video an giography is used to measure blood flow...Ch. 24 - 24.14 Perform the same computation as in Sec....Ch. 24 - Perform the same computation as in Sec. 24.2, but...Ch. 24 - 24.16 As in Sec. 24.2, compute F using the...Ch. 24 - Stream cross-sectional areas (A) are required for...Ch. 24 - 24.18 As described in Prob. 24.17, the...Ch. 24 - 24.21 A transportation engineering study requires...Ch. 24 - 24.22 A wind force distributed against the side of...Ch. 24 - 24.23 Water exerts pressure on the upstream ...Ch. 24 - 24.24 To estimate the size of a new dam, you have...Ch. 24 - The data listed in the following table gives...Ch. 24 - The heat flux q is the quantity of heat flowing...Ch. 24 - 24.27 The horizontal surface area of a lake at a...Ch. 24 - 24.28 Perform the same computation as in Sec....Ch. 24 - 24.29 Repeat Prob. 24.28, but use five...Ch. 24 - Repeat Prob. 24.28, but use Romberg integration to...Ch. 24 - Faradays law characterizes the voltage drop across...Ch. 24 - 24.32 Based on Faraday’s law (Prob. 24.31), use...Ch. 24 - Suppose that the current through a resistor is...Ch. 24 - If a capacitor initially holds no charge, the...Ch. 24 - 24.35 Perform the same computation as in Sec....Ch. 24 - 24.36 Repeat Prob. 24.35, but use (a) Simpson’s ...Ch. 24 - 24.37 Compute work as described in Sec. 24.4, but...Ch. 24 - As was done in Sec. 24.4, determine the work...Ch. 24 - 24.39 The work done on an object is equal to the...Ch. 24 - The rate of cooling of a body (Fig. P24.40) can be...Ch. 24 - 24.41 A rod subject to an axial load (Fig....Ch. 24 - If the velocity distribution of a fluid flowing...Ch. 24 - 24.43 Using the following data, calculate the work...Ch. 24 - 24.44 A jet fighter’s position on an aircraft...Ch. 24 - 24.45 Employ the multiple-application Simpson’s...Ch. 24 - The upward velocity of a rocket can be computed by...Ch. 24 - Referring to the data from Problem 20.61, find the...Ch. 24 - Fully developed flow moving through a 40-cm...Ch. 24 - Fully developed flow of a Bingham plasticfluid...Ch. 24 - 24.50 The enthalpy of a real gas is a ...Ch. 24 - Given the data below, find the isothermal work...Ch. 24 - 24.52 The Rosin-Rammler-Bennet (RRB) equation is...Ch. 24 - For fluid flow over a surface, the heat flux to...Ch. 24 - The pressure gradient for laminar flow through a...Ch. 24 - 24.55 Velocity data for air are collected at...
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