Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 1, Problem 58SDP
Take a deck of playing cards, place a rubber band around it, and then slip the cards against each other to represent Figs. 1.6a and 1.7. If you repeat the same experiment with more and more rubber bands around the same deck, what are you accomplishing as far as the behavior of the deck is concerned?
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1) Draw (using a normal graph paper) a conventional
stress-strain diagram for ANY metallic material (e.g. steel,
aluminium, copper, brass, iron, tungsten). The diagram
should be as accurate as possible using a suitable scale
(e.g. 1cm: 10 N).
2) Calculate the Modulus of Elasticity, Modulus of
Toughness and Modulus of Resilience for the material
from the stress-strain diagram. Show your calculations in
detail on a separate A4 piece of paper.
(a) Find the relationship between δ1, the elongation of rod (1), and the internal tensile force, F1, in rod (1). Assume δ1 is a positive value in units of mm and F1F1 is a positive value in units of kN. So, the answer you enter for the ratio (δ1/F1) must be in units of (mm/kN).
(b) Similar to the previous step, find the relationship between δ2, the elongation of rod (2), and the internal tensile force, F2, in rod (2). Assume δ2 is a positive value in units of mm and F2 is a positive value in units of kN. So, the answer you enter for the ratio (δ2/F2) must be in units of (mm/kN).
(c) Similar to the previous step, find the relationship between δ3, the elongation of rod (2), and the internal tensile force, F3, in rod (2). Assume δ3 is a positive value in units of mm and F3 is a positive value in units of kN. So, the answer you enter for the ratio (δ3/F3) must be in units of (mm/kN).
(d) What magnitude of external load P is needed to displace end D a distance of uD=80 mm to the…
You are a comparative evolutionary biologist that studies biomechanics. In particular, you are interested in how bone cross sectional shapes have evolved. You have discovered a rare (hypothetical) animal that has bone shapes similar to ours, but has solid, rectangular cross sectional areas. You conduct mechanical testing according to the parameters below and want to determine the:
(A) moment of inertia;
(B) reaction forces and moments at the fixed end O;
(C) the stresses at points A, B, and C designated below, including the contributions of the different types of stresses at each point
Chapter 1 Solutions
Manufacturing Engineering & Technology
Ch. 1 - What is the difference between an atom and a...Ch. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - Define anisotropy. What is its significance?Ch. 1 - What effects does recrystallization have on the...Ch. 1 - What is strain hardening, and what effects does it...Ch. 1 - Explain what is meant by structure-sensitive and...Ch. 1 - Prob. 9RQCh. 1 - What influence does grain size have on the...
Ch. 1 - What is the relationship between the nucleation...Ch. 1 - What is a slip system, and what is its...Ch. 1 - Explain the difference between recovery and...Ch. 1 - What is hot shortness, and what is its...Ch. 1 - Explain the advantages and limitations of cold,...Ch. 1 - Describe what the orange peel effect is. Explain...Ch. 1 - Some metals, such as lead, do not become stronger...Ch. 1 - Describe the difference between preferred...Ch. 1 - Differentiate between stress relaxation and stress...Ch. 1 - What is twinning? How does it differ from slip?Ch. 1 - Prob. 21QLPCh. 1 - What is the significance of the fact that some...Ch. 1 - Is it possible for two pieces of the same metal to...Ch. 1 - Prob. 24QLPCh. 1 - A cold-worked piece of metal has been...Ch. 1 - What materials and structures can you think of...Ch. 1 - Two parts have been made of the same material, but...Ch. 1 - Do you think it might be important to know whether...Ch. 1 - Explain why the strength of a polycrystalline...Ch. 1 - Describe the technique you would use to reduce the...Ch. 1 - What is the significance of the fact that such...Ch. 1 - Prob. 32QLPCh. 1 - It has been noted that the more a metal has been...Ch. 1 - Is it possible to cold work a metal at...Ch. 1 - Comment on your observations regarding Fig. 1.14.Ch. 1 - Is it possible for a metal to be completely...Ch. 1 - Prob. 37QTPCh. 1 - Prob. 38QTPCh. 1 - Plot the data given in Table 1.1 in terms of...Ch. 1 - A strip of metal is reduced from 30 mm in...Ch. 1 - Prob. 41QTPCh. 1 - How many grains are there on the surface of the...Ch. 1 - Prob. 43QTPCh. 1 - Prob. 44QTPCh. 1 - Prob. 45QTPCh. 1 - A technician determines that the grain size of a...Ch. 1 - If the diameter of the aluminum atom is 0.28 nm,...Ch. 1 - The following data are obtained in tension tests...Ch. 1 - Prob. 50QTPCh. 1 - Prob. 51QTPCh. 1 - Prob. 52QTPCh. 1 - Same as Prob. 1.39, but ASTM no. versus...Ch. 1 - By stretching a thin strip of polished metal, as...Ch. 1 - Draw some analogies to mechanical fiberingfor...Ch. 1 - Draw some analogies to the phenomenon of hot...Ch. 1 - Take a deck of playing cards, place a rubber band...Ch. 1 - Give examples in which anisotropy is scale...Ch. 1 - The movement of an edge dislocation was described...
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- a bolt has a requirement of being tightened to 38 Nm. You pull on the end of a 25 cm wrench at an angle if 120° to the radial arm line. what is the force of the pull needed?arrow_forward(a) Two different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. Classify each material as brittle or ductile using your judgement.arrow_forward(a) Two different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. i. Calculate the percent elongation and percent of area reduction in each specimen. a. Sample A b. Sample Barrow_forward
- Given the following stress-strain graph:a. is the modulus of elasticity of "A-514" greater, less or equal to the one of "A-572"?b. from the previous question, make an estimatio for both of them, check that the graphic comes in %c. If we were to test these materials in a universal tension equipment, which one would withstand more load?d. If we were to test these materials in a universal tension machine, which one would elongate the most before fracturing? would elongate the most before fracturing? e. Of the 6 materials shown, do any behave as brittle materials? f.arrow_forwardA piece of steel rebar is tested in tension to determine its mechanical properties. The length of the sample is 87.3 mm and the cross-sectional area is 52.1 mm². When stretched by 37.2 mm, the force measured is 14,884 N. At this point, the graph is non-linear, but no clear neck is visible. If the Poisson's ratio of the material is 0.281, calculate the cross-sectional area (mm²) at this point.arrow_forwardAfter the yield region in the stress-strain curve the strength up to ultimate value because: -Molecules orientation in the direction of applied stress -Molecules fails to withstand the applied stress -Molecules orthogonal to the axis of applied force The following figure shows typical engineering tensile stress vs. strain curves, where: * Stress Strain - Points A, C, E and F correspond to the tensile strength and elongation at yield - Points A, B, D and F correspond to the tensile strength and elongation at break Points A, C, E and F correspond to the tensile strength and elongation at breakarrow_forward
- a. Determine the Shear Modulus of Elasticity or Modulus of Rigidity of an electrical transmission material when the forces parallel to the faces in which they act is 100N and the radius of the material is 5mm, the displacement between the faces and the distance between the faces of the material are 400cm and 200cm respectively. b. You used a material to design a system. The more you apply external force, the more the system becomes rigid. Use a sketch to explain how the material is disobeying the stress and strain characteristics. Give two(2) examples. c. State hooke's law and explain it to the changing state of materials.arrow_forwardUzNDU3NTYyMjk0/a/MjYOMzAwMjMOOTM5/details Further questions 4.The graphs show how the extension changes with stretching force for four different materials. a. Which two graphs show materials that follow Hooke's law? A B b. Which two graphs show materials that become less stiff as they are stretched? force force D C. Which graph shows a material that maintains the same stiffness throughout? force force 1. A force of 20N stretches a spring by 0.5m. The spring obeys Hooke's law. a. Calculate the spring constant including a suitable unit. b. How much force must a man use to stretch it by 1.5m? 5. A car has a weight of 240OON which is distributed equally over all four wheels. Each wheel has a spring of spring constant 400N/cm. a. Determine the force through the spring on each wheel. b. Calculate the compression of each spring when the car rests on the ground. 6.In a spring experiment the results were as follows: Force (N) Length (mpm 1 2 4 6. 7 50 58 70 74 82 9n 102 125 LELLarrow_forwardA material has a linear elastic perfectly plastic stress-strain. A cylindrical specimen of that material having an initial length of 35 mm and a tadius of 7 mm is pulled until it elongates 0.8mm. a. Calculate the stain and the corresponding stress at that elongation value. b. Afterward, the specimen is released to zero stress level, how does the final length of the specimen compare with its original length? How much plastic deformation remains if it exists?arrow_forward
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