EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 8, Problem 24P

A simply supported beam is loaded as shown in Fig. P8.24. Using singularity functions, the shear along the beam can be expressed by the equation:

V ( x ) = 20 [ x 0 1 x 5 1 ] 15 x 8 0 57

By definition, the singularity function can be expressed as follows:

x a n = { ( x a ) n when  x > a 0 when  x a }

Use a numerical method to find the point(s) where the shear equals zero.

Chapter 8, Problem 24P, 8.24	A simply supported beam is loaded as shown in Fig. P8.24. Using singularity functions, the

FIGURE P8.24

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1. Sketch the following sets and determine which are domains: (a) |z−2+i| ≤ 1; - (c) Imz> 1; (e) 0≤ arg z≤ л/4 (z ± 0); Ans. (b), (c) are domains. (b) |2z+3| > 4; (d) Im z = 1; - (f) | z − 4| ≥ |z.
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Chapter 8 Solutions

EBK NUMERICAL METHODS FOR ENGINEERS

Ch. 8 - 8.11 The operation of a constant density plug flow...Ch. 8 - 8.12 The Ergun equation, shown below, is used to...Ch. 8 - The pressure drop in a section of pipe can be...Ch. 8 - 8.14 In structural engineering, the secant formula...Ch. 8 - 8.15 In environmental engineering (a specialty...Ch. 8 - 8.16 The concentration of pollutant bacteria c in...Ch. 8 - A catenary cable is one that is hung between two...Ch. 8 - 8.18 Figure P8.18a shows a uniform beam subject to...Ch. 8 - 8.19 The displacement of a structure is defined by...Ch. 8 - 8.20 The Manning equation can be written for a...Ch. 8 - In ocean engineering, the equation for a reflected...Ch. 8 - 8.22 You buy a $20,000 piece of equipment for...Ch. 8 - Many fields of engineering require accurate...Ch. 8 - 8.24 A simply supported beam is loaded as shown in...Ch. 8 - 8.25 Using the simply supported beam from Prob....Ch. 8 - Using the simply supported beam from Prob. 8.24,...Ch. 8 - Using the simply supported beam from Prob. 8.24,...Ch. 8 - 8.28 Although we did not mention it in Sec. 8.2,...Ch. 8 - 8.29 Perform the same computation as in Sec. 8.3,...Ch. 8 - An oscillating current in an electric circuit is...Ch. 8 - Prob. 31PCh. 8 - 8.32 A total charge Q is uniformly distributed...Ch. 8 - 8.33 Figure P8.33 shows a circuit with a resistor,...Ch. 8 - Beyond the Colebrook equation, other...Ch. 8 - Real mechanical systems may involve the deflection...Ch. 8 - Mechanical engineers, as well as most other...Ch. 8 - Aerospace engineers sometimes compute the...Ch. 8 - The general form for a three-dimensional stress...Ch. 8 - The upward velocity of a rocket can be computed by...Ch. 8 - The phase angle between the forced vibration...Ch. 8 - Two fluids at different temperatures enter a mixer...Ch. 8 - A compressor is operating at compression ratio Rc...Ch. 8 - In the thermos shown in Fig. P8.43, the innermost...Ch. 8 - 8.44 Figure P8.44 shows three reservoirs connected...Ch. 8 - A fluid is pumped into the network of pipes...Ch. 8 - 8.46 Repeat Prob. 8.45, but incorporate the fact...Ch. 8 - The space shuttle, at lift-off from the launch...Ch. 8 - 8.48 Determining the velocity of particles...
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