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 8, Problem 25P

Using the simply supported beam from Prob. 8.24, the moment along the beam, M ( x ) , is given by:

M ( x ) = 10 [ x 0 2 x 5 2 ] + 15 x 8 1 + 150 x 7 0 + 57 x

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

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The Cartesian vector form of the moment produced by force F, about point O is equal to. 1ft -2 ft- 3 ft F = (-20i + 10j + 30k} lb 2 ft F; = |-10i – 30j + 5Ok] Ib
F1 F2 a F3 A B d b F4 E F5 Consider the following values: - a = 25 m; b = 5 m; c = 25 m; d = 5 m; F1 = 3 kN; F2 = 1 kN; F3 = 4 kN; F4 = 6 kN; F5 = 8 kN; a = 30°, e = 60° %3D B = 30° %3D 1] What is the resultant moment of the five forces acting on the rod about point A? a) 85.8 kN.m b) – 21.1 kN.m c) - 13.5 kN.m d) 7.9 kN.m e) 24.1 kN.m f) - 57.8 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 188.8 kN.m b) - 153.5 kN.m c) 111.6 kN.m d) - 98.9 kN.m e) 85.4 kN.m f) - 244.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 186 kN.m b) - 171 kN.m c) 155 kN.m d) 279 kN.m e) 423 kN.m f) 353 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 117.8 kN.m b) - 184.2 kN.m c)– 211.9 kN.m d) 126.9 kN.m e) - 27.1 kN.m ) 125.1 kN.m Activate 5] What is the moment of the force F2 about point E? Go to Setting f) 32.3 kN.m a) 11.7 kN.m b) 19.8 kN.m c) 54.6 kN.m d) 9.1 kN.m e)…
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Chapter 8 Solutions

Numerical Methods For Engineers, 7 Ed

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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