Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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.
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.
. Calculate the deflection curve v(x) for Problem 1.
Chapter 6 Solutions
Manufacturing Engineering & Technology
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...
Knowledge Booster
Learn more about
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
- Differentiate strain energy and strain energy density of a matrrial. And also define different type of beams on the basis of supports?arrow_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_forwardDetermine an expression for the shape of the loaded beam (elastic curve)arrow_forward
- Question 3: Describe how a material's modulus of elasticity, its centroid, and the maximum bending moment impact a beam's bending stress? Are any of these properties more relevant than others to this analysis? Question 4: For a beam under loading, explain how stress variation (from the top of the beam to the neutral axis, and from the neutral axis to the bottom of the beam) affects the placement location of steel reinforcement.arrow_forwardDescribe what is the section modulus of the beams and its importance. Describe the formula for the section modulusarrow_forwardTask 3 (a) A beam is to be fitted in a box of length of 2 m, width of 15 cm and height of 20 cm. Choose a beam and specify its parameters, dimensions, at least two loads and support conditions logically so that it can deflect freely to the maximum limit. (b) Will the beam designed in part (a) withstand the stresses. Explain.arrow_forward
- Develop the V(x) and M(x) diagrams for the cantilever beam carrying the loads indicated below.arrow_forwardActivity 1 Calculate the shear force and the maximum bending moment of beams using for the construction bridge and building. An Encastre /Built-in beam has a span of 3 m and carries the loading system shown in figure 1 (a). 40KN 30kN/m 1.8m -1.2m Figure 1(a): Encastre / Built-in In addition, you should be able to calculate the shear force and the maximum bending moment of a cantilever beam, with a hollow cross-section of Dout: 0.2 m, wall thickness of 0.02 m, and the length of 3 (m). The beam is subjected to a point load of 50 kN at its free end as shown in Figure 1 (b). Dout 50KN 3m Figure 1(b): Cantilever beamarrow_forwardCan you please use the same data and do the deflection of beams ( Max Deflection ) for Steel and Aluminumarrow_forward
- There is a bundle (called a bunk) of 2” x 4” boards stored on a storage rack. This lumber places a distributed load (due to the weight of the wood) on the beams holding the bunk. How the method of "REDUCTION OF A SIMPLE DISTRIBUTED LOADING" plays an important role to analyze the load’s effect on the steel beams?arrow_forward1. Was there good agreement between the theoretical predictions (dthe) and the experimentally measured (dexp ) deflection? Why? 2. Is the theoretical analysis conservative or does it understate the actual deflection? Explain? 3. Does the distance between the supports effects the deflection measured? Why? 4. How does the moment of inertia affect the deflection? 5. Aluminum and copper of same geometric dimensions, which will deflect more? Why?arrow_forwardM=E/p². (b) Show that the lightest cantilever beam of length L and square section (area free) that will not deflect by more than 8 under an end load F is that made of the material with the largest value of M = Ep (neglect self-weight). loungs modulusE GPa Plot each index on the given (E- p) chart indicating the search area for materials with the highest values of each. 1000 HINT: Start each of the problem by listing the function, the objective and the constraints. You will need the equations for the deflection of a cantilever beam with a square cross-section t x t. You can either derive the equations or use the equations provided in Appendix B, Section B3. 100 10 1 10-1 10-2 Loungs modulus density 10-4 Longitudinal wave speed 10 ms 3x10² Foams. 10 ms- 10-3 3x10² Rigid polymer foams 10 ms Technical ceramics Al alloys Composites CFRP Glass Bamboo Mg alloys GFRP Wood Flexible polymer foams Natural PMMA- materials PA grain Cork PS Wood grain Leat e EVA Isoprene Buty rubber B4C. Polyester…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License