Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8, Problem 22P
You buy a $20,000 piece of equipment for nothing down and $4000 per year for 6 years. What interest rate are you paying? The formula relating present worth P, annual payments A, number of years n, and interest rate i is
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3 kN
3 kN
1.8 kN/m
80 mm
B
300 mm
D
an
1.5 m-1.5 m--1.5 m-
PROBLEM 5.47
Using the method of Sec. 5.2, solve Prob. 5.16
PROBLEM 5.16 For the beam and loading shown, determine the
maximum normal stress due to bending on a transverse section at C.
300 mm
3 kN
3 kN
450 N-m
D
E
200 mm
300 mm
PROBLEM 5.12
Draw the shear and bending-moment diagrams for the beam and loading
shown, and determine the maximum absolute value (a) of the shear,
(b) of the bending moment.
CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD.
The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPa
Chapter 8 Solutions
Numerical Methods for Engineers
Ch. 8 - 8.1 Perform the same computation as in Sec. 8.1,...Ch. 8 - 8.2 In chemical engineering, plug flow reactors...Ch. 8 - 8.3 In a chemical engineering process, water vapor...Ch. 8 - The following equation pertains to the...Ch. 8 - 8.5 A reversible chemical reaction
Can be...Ch. 8 - The following chemical reactions take place in a...Ch. 8 - The Redlich-Kwong equation of state is given by...Ch. 8 - The volume V of liquid in a hollow horizontal...Ch. 8 - The volume V of liquid in a spherical tank of...Ch. 8 - 8.10 For the spherical tank in Prob. 8.9, it is...
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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- CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 marrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I NEED FBD A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPaarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD. The roof truss shown carries roof loads, where P = 10 kN. The truss is consisting of circular arcs top andbottom chords with radii R + h and R, respectively.Given: h = 1.2 m, R = 10 m, s = 2 m.Allowable member stresses:Tension = 250 MPaCompression = 180 MPa1. If member KL has square section, determine the minimum dimension (mm).2. If member KL has circular section, determine the minimum diameter (mm).3. If member GH has circular section, determine the minimum diameter (mm).ANSWERS: (1) 31.73 mm; (2) 35.81 mm; (3) 18.49 mmarrow_forward
- PROBLEM 3.23 3.23 Under normal operating condi- tions a motor exerts a torque of magnitude TF at F. The shafts are made of a steel for which the allowable shearing stress is 82 MPa and have diameters of dCDE=24 mm and dFGH = 20 mm. Knowing that rp = 165 mm and rg114 mm, deter- mine the largest torque TF which may be exerted at F. TF F rG- rp B CH TE Earrow_forward1. (16%) (a) If a ductile material fails under pure torsion, please explain the failure mode and describe the observed plane of failure. (b) Suppose a prismatic beam is subjected to equal and opposite couples as shown in Fig. 1. Please sketch the deformation and the stress distribution of the cross section. M M Fig. 1 (c) Describe the definition of the neutral axis. (d) Describe the definition of the modular ratio.arrow_forwardusing the theorem of three moments, find all the moments, I only need concise calculations with minimal explanations. The correct answers are provided at the bottomarrow_forward
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