EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 8220100793431
Author: KALPAKJIAN
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 26QTP
A simply supported rectangular beam is 25 mm wide and 1 m long, and it is subjected to a vertical load of 10 kg at its center. Assume that this beam could be made of any of the materials listed in Table 6.1. Select three different materials, and for each, calculate the beam height that would cause each beam to have the same maximum deflection. Calculate the ratio of the cost for each of the three beams.
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1.2 kN/m
A
B
S5 x 10 1-beam
5.8 m
Part I
(a) A S5 x 10 I-beam made of aluminum is loaded by a distributed load of 1.2 kN/m. Calculate
the deflection at end B. What is the mass of this structure? Repeat your calculations assuming
that the material is (b) titanium, (c) magnesium. Also calculate the mass of the titanium and
magnesium beam.
Part II
If the maximum deflection of the I beam allowed at point B is 3.5 cm, what is the distributed
load acting on it for (a) aluminum beam (b) titanium beam (c) magnesium beam?
you are analyzing the maximum stress of a rectangular cross-section cantilever beam that is distributed uniformly loaded. The base is varied by a factor of 5.45 by what factor does the height need to vary to keep all other parameters constant.
An 8 m long I-beam made of mild steel is used to support an overhead crane in a workshop, as shown in Figure 2(a). Figure 2(b) gives the dimensions of the I-beam. When answering the following questions, include the weight of the beam in your calculations.
At what horizontal position on the beam would the load cause the maximum bending moment?
Please note: this question is would potentially be worth around marks and the answer has to justify this.
Chapter 6 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 6 - Given the abundance of aluminum in the Earths...Ch. 6 - Prob. 2RQCh. 6 - What are the major uses of copper? What arc the...Ch. 6 - What are superalloys? Why are they so named?Ch. 6 - What properties of titanium make it attractive for...Ch. 6 - Which properties of each of the major refractory...Ch. 6 - Prob. 7RQCh. 6 - What it the composition of (a) babbitts, (b)...Ch. 6 - Name the materials described in this chapter that...Ch. 6 - What are the major uses of gold and silver, other...
Ch. 6 - Describe the advantages to using zinc as a coating...Ch. 6 - Prob. 12RQCh. 6 - Why are aircraft fuselages made of aluminum...Ch. 6 - How is metal foam produced?Ch. 6 - What metals have the lowest melting points? What...Ch. 6 - Explain why cooking utensils generally are made of...Ch. 6 - Would it be advantageous to plot the data in Table...Ch. 6 - Compare the contents of Table 6.3 with those in...Ch. 6 - What factors other than mechanical strength should...Ch. 6 - Prob. 20QLPCh. 6 - If aircraft, such as a Boeing 757, are made of 79%...Ch. 6 - Prob. 22QLPCh. 6 - Most household wiring is made of copper wire. By...Ch. 6 - The example in this chapter showed the benefits of...Ch. 6 - If tungsten is the highest melting-point metal,...Ch. 6 - A simply supported rectangular beam is 25 mm wide...Ch. 6 - Obtain a few aluminum beverage cans, cut them, and...Ch. 6 - Beverage cans usually are stacked on top of each...Ch. 6 - Using strength and density data, determine the...Ch. 6 - Plot the following for the materials described in...Ch. 6 - Prob. 33SDPCh. 6 - Give some applications for (a) amorphous metals,...Ch. 6 - Describe the advantages of making products with...Ch. 6 - In the text, magnesium was described as the...Ch. 6 - Prob. 38SDPCh. 6 - Review the technical literature, and write a...
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- Bending: Show all Equations Used! Consider a cantilevered, rectangular beam subjected to a load pro- duced by a 1 kg point mass at the (free) tip of the beam. Assume that beam material is made of Aluminum and that the beam is 11 in. long, 1 in. wide and 1/8 in. thick. 1. Based on Euler-Bernoulli beam theory, determine the deflection (in milimeters) of the beam. 2. Determine the longitudinal stress (in MPa), longitudinal strain and transverse strain at the root of the beam.arrow_forwardCan you please use the same data and do the deflection of beams ( Max Deflection ) for Steel and Aluminumarrow_forwardRead the question carefully and give me right solution with clear calculations. A cantilever beam of length L carries a uniform load that varies uniformly from “0” at the fixed end to “w” (N/m) at the right end. Assuming EI is constant Determine the rotation (θ) at the free end of the beam Determine the deflection at the free end of the beam.arrow_forward
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- Discuss how to design a prismatic beam so that it is able to resist both internal bending and shear?arrow_forwardCalculate the moment capacity (M₁) of a rectangular, singly reinforced beams with the following design data: a) f = 32MPa;b=250mm; d = 350mm; 4N20 in a single layer.arrow_forwardDraw the shear force diagram for the following beam and indicate various values in the diagram along with calculation for making the shear force diagram.arrow_forward
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