EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 15, Problem 9P
Use a software package to determine the maximum of
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2: A wire 4 meters long is stretched horizontally between points 4 meters apart. The wire is 25 mm2 in cross-section with a modulus of elasticity of 200 GPa. A load W placed at the center of the wire produces a sag Δ.1.Calculate the tension (N) in the wire if sag Δ = 30 mm.2.Calculate the magnitude of W, in N, if sag Δ = 54.3 mm.3. If W is 60 N, what is the sag (in mm)?ANSWERS: (1) 562 N, (2) 100 N, (3) 45.8 N
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4 : A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position as shown. The cable has tensile force T and is attached at C. The length of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness t = 12 mm. The pole pivots about a pin at A. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. The diameter of the cable is 8 mm.1.Find the minimum diameter (mm) of the pin at A to support the weight of the pole in the position shown.2.Calculate the elongation (mm) of the cable CD.3.Calculate the vertical displacement of point C, in mm.ANSWERS: (1) 6 mm, (2) 1.186 mm, (3) 1.337 mm--
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Chapter 15 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 15 - A company makes two types of products, A and B....Ch. 15 - Prob. 2PCh. 15 - 15.3 Consider the linear programming...Ch. 15 - 15.4 Consider the linear programming...Ch. 15 - Use a software package (for example, Excel,...Ch. 15 - 15.6 Use a software package (for example, Excel,...Ch. 15 - 15.7 Consider the following constrained nonlinear...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Given the following function,...
Ch. 15 - You are asked to design a covered conical pit to...Ch. 15 - 15.12 An automobile company has two versions of...Ch. 15 - 15.13 Og is the leader of the surprisingly...Ch. 15 - 15.14 Develop an M-file that is expressly designed...Ch. 15 - 15.15 Develop an M-file to locate a minimum with...Ch. 15 - Develop an M-file to implement parabolic...Ch. 15 - 15.17 The length of the longest ladder that can...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 2. Obtain the transfer function, H(w) = 0 for the circuit below for R₁ = 1 kQ2, R2 = 10 kQ, and Vi C = 1 μF. What role, if any, does the capacitor play? Explain. R₁ R2 + C + Voarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 3 (15 points): A 12-meter-long precast pile segment is to be lifted from a trailer down to the ground and then set in place prior to driving by a crane.1. If two slings are to be used in lifting the pile to the ground, at what distance from the ends must the slings be placed for minimum bending due to its own weight?2. At what distance from the ends must the slings be placed for minimum shear due to its own weight?3. Using one sling to set the pile in a vertical position before driving at what distance from one end must the sling be placed for minimum bending due to its own weight?ANSWERS: (1) 2.48 m, (2) 3.00 m, (3) 3.51 marrow_forwardConsider blood flowing down an inclined plane. Derive an expression for the velocity profile assuming that blood follows the constitutive equation for a Casson fluid. You can either use a shell balance or the equation of motion in terms of shear stress as your starting point. What is the velocity at x = 0 and at x = xc?arrow_forward
- Blood (HD = 0.45 in large diameter tubes) is forced through hollow fiber tubes that are 20 µm in diameter.Equating the volumetric flowrate expressions from (1) assuming marginal zone theory and (2) using an apparentviscosity for the blood, estimate the marginal zone thickness at this diameter. The viscosity of plasma is 1.2 cP.arrow_forwardhand-written solutions only please!arrow_forwardhand-written solutions only please!arrow_forward
- hand-written solutions only, please.arrow_forwardhand-written solutions only please!arrow_forwardA prototype automobile is designed to travel at 65 km/hr. A model of this design is tested in a wind tunnel with identical standard sea- level air properties at a 1:5 scale. The measured model drag is 529 N, enforcing dynamic similarity. Determine (a) the drag force on the prototype and (b) the power required to overcome this drag. See the equation Vm m = D V Dm (a) Dp = i (b) Pp = i N hparrow_forward
- A new blimp will move at 6 m/s in 20°C air, and we want to predict the drag force. Using a 1: 14-scale model in water at 20°C and measuring a 2500-N drag force on the model, determine (a) the required water velocity, (b) the drag on the prototype blimp and, (c) the power that will be required to propel it through the air. (a) Vm = i (b) Dp = i (c) Pp = i m/s N Warrow_forwardDrag measurements were taken for a sphere, with a diameter of 5 cm, moving at 3.7 m/s in water at 20°C. The resulting drag on the sphere was 10 N. For a balloon with 1-m diameter rising in air with standard temperature and pressure, determine (a) the velocity if Reynolds number similarity is enforced and (b) the drag force if the drag coefficient in the equation below is the dependent pi term. li ε pVI D 1 = CD = Q μ (a) Vp = i (b) Dp = i m/s Narrow_forwardCalculate the forces in all members of the truss shown using either the method of joints or the method of sectionsarrow_forward
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