Manufacturing Engineering And Technology
7th Edition
ISBN: 9789810694067
Author: Stephen R. Schmid (author) Serope Kalpakjian (author)
Publisher: Pearson Education Orphans
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Chapter 2, Problem 80SDP
In tension testing of specimens,
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A cylindrical specimen of brass that has a diameter of 21 mm, a tensile modulus of 122 GPa, and a Poisson’s ratio of 0.37 is pulled in tension with force of 38704 N. If the deformation is totally elastic, what is the strain experienced by the specimen?
A cylindrical specimen of brass that has a diameter of 15 mm, a tensile modulus of 120 GPa, and a Poisson’s ratio of 0.30 is pulled in tension with force of 50,000 N. If the deformation is totally elastic, what is the approximate strain experienced by the specimen?
A tensile specimen is elongated to twice its original length. Determine the engineering strain and true strain for this test? If the values are different explanations why they are different?
Chapter 2 Solutions
Manufacturing Engineering And Technology
Ch. 2 - Distinguish between engineering stress and true...Ch. 2 - In a stress-strain curve, what is the proportional...Ch. 2 - Describe the events that take place when a...Ch. 2 - What is ductility, and how is it measured?Ch. 2 - In the equation =Kn, which represents the true...Ch. 2 - What is strain-rate sensitivity, and how is it...Ch. 2 - What test can measure the properties of a material...Ch. 2 - What testing procedures can be used to measure the...Ch. 2 - Describe the differences between brittle and...Ch. 2 - What is hardness? Explain.
Ch. 2 - Describe the features of a Rockwell hardness test.Ch. 2 - What is a Leeb test? How is it different from a...Ch. 2 - Differentiate between stress relaxation and creep.Ch. 2 - Describe the difference between elastic and...Ch. 2 - Explain what uniform elongation means in tension...Ch. 2 - Describe the difference between deformation rate...Ch. 2 - Describe the difficulties involved in conducting a...Ch. 2 - What is Hookes law? Youngs modulus? Poissons...Ch. 2 - Describe the difference between transgranular and...Ch. 2 - What is the reason that yield strength is...Ch. 2 - Why does the fatigue strength of a specimen or...Ch. 2 - If striations are observed under microscopic...Ch. 2 - What is an Izod test? Why are Izod tests useful?Ch. 2 - Why does temperature increase during plastic...Ch. 2 - What is residual stress? How can residual stresses...Ch. 2 - On the same scale for stress, the tensile true...Ch. 2 - What are the similarities and differences between...Ch. 2 - Can a material have a negative Poissons ratio?...Ch. 2 - It has been stated that the higher the value of m,...Ch. 2 - Explain why materials with high m values, such as...Ch. 2 - With a simple sketch, explain whether it is...Ch. 2 - Explain why the difference between engineering...Ch. 2 - Consider an elastomer, such as a rubber band. This...Ch. 2 - If a material (such as aluminum) does not have an...Ch. 2 - What role, if any, does friction play in a...Ch. 2 - Which hardness tests and scales would you use for...Ch. 2 - Consider the circumstance where a Vickers hardness...Ch. 2 - Which of the two tests, tension or compression,...Ch. 2 - List and explain briefly the conditions that...Ch. 2 - List the factors that you would consider in...Ch. 2 - On the basis of Fig. 2.5, can you calculate the...Ch. 2 - If a metal tension-test specimen is rapidly pulled...Ch. 2 - Comment on your observations regarding the...Ch. 2 - Will the disk test be applicable to a ductile...Ch. 2 - What hardness test is suitable for determining the...Ch. 2 - Wire rope consists of many wires that bend and...Ch. 2 - A statistical sampling of Rockwell C hardness...Ch. 2 - In a Brinell hardness test, the resulting...Ch. 2 - Some coatings are extremely thinsome as thin as a...Ch. 2 - Select an appropriate hardness test for each of...Ch. 2 - A paper clip is made of wire 0.5 mm in diameter....Ch. 2 - A 250-mm-long strip of metal is stretched in two...Ch. 2 - Identify the two materials in Fig. 2.5 that have...Ch. 2 - Plot the ultimate strength vs. stiffness for the...Ch. 2 - If you remove the layer of material ad from the...Ch. 2 - Prove that the true strain at necking equals the...Ch. 2 - Percent elongation is always defined in terms of...Ch. 2 - You are given the K and n values of two different...Ch. 2 - A cable is made of two strands of different...Ch. 2 - On the basis of the information given in Fig. 2.5,...Ch. 2 - In a disk test performed on a specimen 1.00 in. in...Ch. 2 - A piece of steel has a hardness of 300 HB....Ch. 2 - A metal has the following properties: UTS = 70,000...Ch. 2 - Using only Fig. 2.5, calculate the maximum load in...Ch. 2 - Estimate the modulus of resilience for a highly...Ch. 2 - A metal has a strength coefficient K = 100,000 psi...Ch. 2 - Plot the true stresstrue strain curves for the...Ch. 2 - The design specification for a metal requires a...Ch. 2 - Calculate the major and minor pyramid angles for a...Ch. 2 - If a material has a target hardness of 300 HB,...Ch. 2 - A Rockwell A test was conducted on a material and...Ch. 2 - For a cold-drawn 0.5% carbon steel, will a...Ch. 2 - A material is tested in tension. Over a 1-in. gage...Ch. 2 - A horizontal rigid bar cc is subjecting specimen a...Ch. 2 - List and explain the desirable mechanical...Ch. 2 - When making a hamburger, you may have observed the...Ch. 2 - An inexpensive claylike material called Silly...Ch. 2 - In tension testing of specimens, mechanical and...Ch. 2 - Demonstrate the impact toughness of a piece of...Ch. 2 - Using a large rubber band and a set of weights,...Ch. 2 - Find or prepare some solid circular pieces of...Ch. 2 - Take several rubber bands and pull them at...Ch. 2 - Devise a simple fixture for conducting the bend...Ch. 2 - By pressing a small ball bearing against the top...Ch. 2 - Describe your observations regarding Fig. 2.14c.Ch. 2 - Embed a small steel ball in a soft block of...Ch. 2 - Devise a simple experiment, and perform tests on...Ch. 2 - Obtain some solid and some tubular metal pieces,...Ch. 2 - Explain how you would obtain an estimate of the...Ch. 2 - Without using the words stress or strain, define...Ch. 2 - We know that it is relatively easy to subject a...
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- tensile test is performed on metal specimen and it found that a true plastic strain of 0.02 is produced when a true stress of 345 MPa is applied. How much will a specimen of this material elongate when a true stress of 415 MPa is applied if the original length is 500 mm. Assume that the value of 0.22 for strain hardening exponent.arrow_forwardTensile test is a method to investigate the elasticity of a material. A test specimen is placed between two clamps and these clamps will move in opposite directions, hence straining the test specimen. This experiment will yield a stress-strain curve that shows each of the stages of the specimen for every load is applied. With an aid of sketching diagrams, describe the stages that the specimen experiences before it breaks, and relate it with the stress-strain curve. It is expected that each stage comes with a sketching of the specimen and explanation of the current stage.arrow_forwardConsider an aluminum specimen with a diameter of 10 mm and a length of 1 point 3 m. A force of 3000 N is applied along the axis of each specimen. Assuming that the deformation is elastic, estimate the elongation of the specimen. Aluminum (E-70 GPa)arrow_forward
- Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross-sectional areas (while maintaining their circular cross-sections). For one specimen, the initial and deformed radii are 15mm and 12mm, respectively. The second specimen, with an initial radius of 11mm, must have the same deformed hardness as the first specimen. Compute the second specimen’s radius after deformation.arrow_forwardFor a brass alloy, the stress at which plastic deformation begins is 345 MPa and the modulus of elasticity is 103 GPa.a. What is the maximum load that may be applied to a specimen with a cross-sectionalarea of 130 mm2 without plastic deformation?b. If the original specimen length is 76 mm, what is the maximum length to which it may be stretched without causing plastic deformation?arrow_forwardWhat must be true about the dimensions of a plate in order for plane-strain conditions to apply?arrow_forward
- A cylindrical specimen of brass that has a diameter of 15 mm, a tensile modulus of 100 GPa, and a Poisson's ratio of 0.35 is pulled in tension with a force of 40, 000 N. If the deformation is totally elastic and the original length is 120 mm, what is the final diameter of the specimen in mm?arrow_forwardAn unknown specimen with an initial diameter of 5.25 mm experiences a reduction in diameter to 4.50 mm under a tensile load of 250 N. Calculate the engineering stress, engineering strain, true stress, and true strain at this load. Assume that the deformation is uniform throughout the entire sample, and that the volume of the sample remains constant when being pulled in tension.arrow_forwardExplain the different experimental methods that would relate stress with strain to determine the stress-strain diagram for a specific material.arrow_forward
- By performing torsion tests, which develop pure shear in a ductile specimen, does the maximum distortion energy theory accurate results?arrow_forwardDescribe the experimental process from the preparation of the metal tensile specimen to the tensile test. And investigate the basic properties of Al.arrow_forwardin tensile test data, show step by step how to find stress and strain in aluminiumarrow_forward
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An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY