An elastoplastic material with strain hardening has the stress–strain relationship shown in Figure P1.23. The yield point corresponds to 600 MPa stress and 0.003 m/m strain.
a. If a bar made of this material is subjected to a stress of 650 MPa and then released, what is the permanent strain?
b. What is the percent increase in yield strength that is gained by the strain hardening shown in part (a)?
c. After strain hardening, if the material is subjected to a stress of 625 MPa, how much strain is obtained? Is this strain elastic, permanent, or a combination of both?
Learn your wayIncludes step-by-step video
Chapter 1 Solutions
Materials For Civil And Construction Engineers In Si Units
Additional Engineering Textbook Solutions
Foundation Design: Principles and Practices (3rd Edition)
Fundamentals of Applied Electromagnetics (7th Edition)
Problem Solving with C++ (10th Edition)
C Programming Language
Mechanics of Materials
Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences)
- On a graph, show the stress–strain relationship under loading and unloading for the following two materials:a. nonlinear elastic materialb. elastoplastic material with strain hardeningarrow_forwardAn elastoplastic material with strain hardening has the stress–strain relationship shown in Figure 1.6(c). The modulus of elasticity is 175 GPa, yield strength is 480 MPa, and the slope of the strain-hardening portion of the stress–strain diagramis 20.7 GPa.a. Calculate the strain that corresponds to a stress of 550 MPa.b. If the 550-MPa stress is removed, calculate the permanent strain.arrow_forwardFigure shows (i) elastic–perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to have:a. a strain of 0.001?b. a strain of 0.004?arrow_forward
- On a graph, show the stress–strain relationship under loading and unloading forthe following two materials:a. nonlinear elastic materialb. elastoplastic material with strain hardening(10 points)arrow_forwardA rectangular block of aluminum 30 mm * 60 mm * 90 mm is placed in a pressure chamber and subjected to a pressure of 100 MPa. If the modulus of elasticity is 70 GPa and Poisson’s ratio is 0.333, what will be the decrease in the longest side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the block?arrow_forwardAn elastoplastic material with strain hardening has the stress– strain relation shown in Figure aside. The modulus of elasticity is 25 x 106 Psi. , yield strength is 70 ksi, and the slope of the strain-hardening portion of the stress–strain diagram is 3 x 106 Psi.a. Calculate the strain that corresponds to a stress of 85 ksi.b. If the 85-ksi stress is removed, calculate the permanent strain.arrow_forward
- An elastoplastic material with strain hardening has the stress–strain relationship shown in Figure . The modulus of elasticity is 25 * 106 psi, yield strength is 70 ksi, and the slope of the strain-hardening portion of the stress–strain diagram is 3 * 106 psi.a. Calculate the strain that corresponds to a stress of 80 ksi.b. If the 80-ksi stress is removed, calculate the permanent strain.arrow_forwardA wood beam is strengthened using two steel plates as shown in the figure below. *Inserted Photo* The beam has simple supports and an overhang and is subjected to a point load and a uniform load as shown in the figure below. Calculate the maximum tensile and compressive stresses of the beam. Assume that Ew = 11 GPa and Es = 200 GPa. (Enter your answers in MPa. Use the deformation sign convention.) maximum tensile stress in wood ? MPa maximum tensile stress in steel ? MPa maximum compressive stress in wood ? MPa maximum compressive stress in steel ? MPaarrow_forwardA steel block has a length of 80 mm, width of 60 mm and thickness of 40 mm. The block is subjected to a uniform hydrostatic pressure of 180 kPa on all its faces. Modulus of elasticity E=200 GPa, Poisson’s ratio ?= 0.29. a.) Determine the bulk modulus of steel, b.) Determine the dilatation (e) of the material if e is the negative of the ratio of load to bulk modulus., and c.) Determine the change in volume of the steel block.arrow_forward
- Question 1: A 25mm diameter aluminum rod is loaded axially in tension with a load of 100kN. The rod is 4 m in length. Aluminum has a modulus of elasticity of 69GPa and a Poisson’s ratio of 0.35. 1) What is the decrease in diameter of the rod due to the applied load? 2) What is the new length of the rod?arrow_forwardA plastic cube with a 100 mm X 100 mm X 100 mm. is placed in a pressurechamber and subjected to a pressure of 100 MPa. If the modulus of elasticityis 7 GPa and Poisson’s ratio is 0.39, what will be the decrease in each side ofthe block, assuming that the material remains within the linear elastic region?What will be the decrease in the volume of the cube?arrow_forwardThe rectangular block shown in Figure is subjected to tension within the elastic range. The increase in the length of a is 2 * 10-3in. and the contraction of b is 3.25 * 10-4 in. If the original lengths of a and b were 2 in. and 1 in., respectively, what is Poisson’s ratio for the material of the specimen?arrow_forward
- Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning