A tensile load of 50.000 lb is applied to a metal bar with a 0.6 in. × 0.6 in. cross section and a gage length of 2 in. Under this load the bar elastically deforms so that the gage length increases to 2.007 in. and the cross section decreases to 0.599 in. × 0.599 in. Determine the modulus of elasticity and Poisson’s ratio for this metal.
Learn your wayIncludes step-by-step video
Chapter 1 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Additional Engineering Textbook Solutions
Modern Database Management
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
Introduction To Programming Using Visual Basic (11th Edition)
Concepts Of Programming Languages
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
- The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.arrow_forwardThe data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.arrow_forwardAn aluminum alloy bar with a radius of 7 mm was subjected to tension until fracture and produced results shown in Table P4.3. a. Using a spreadsheet program, plot the stress–strain relationship. b. Calculate the modulus of elasticity of the aluminum alloy. c. Determine the proportional limit. d. What is the maximum load if the stress in the bar is not to exceed the proportional limit? e. Determine the 0.2% offset yield strength. f. Determine the tensile strength. g. Determine the percent of elongation at failure.arrow_forward
- The shown figure represents the stress-strain relations of metals A and B during tension tests until fracture.Determine the following for the two metals (show all calculations and units):a. Proportional limitb. Yield stress at an offset strain of 0.002 in./in.c. Ultimate strengthd. Modulus of resiliencee. Toughnessf. Which metal is more ductile? Why?arrow_forwardThe stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi, determine the approximate amount of elastic recovery and the increase in the gage length after it is unloaded. o (ksi) 80 70 60 50 40 30 20 10 e (in./in.) 0 04 0.08 0.12 0.16 0.20 0.24 0.28 0 0005 0.0010.0015 0.002 0.0025 0.0030.0035arrow_forwardAn aluminum alloy bar with a radius of 7 mm was subjected to tension until fracture and produced results shown in Table P4 a. Using a spreadsheet program, plot the stress–strain relationship. b. Calculate the modulus of elasticity of the aluminum alloy. c. Determine the proportional limit. d. What is the maximum load if the stress in the bar is not to exceed the proportional limit? e. Determine the 0.2% offset yield strength. f. Determine the tensile strength. g. Determine the percent of elongation at failure.arrow_forward
- A steel bar is connected to an aluminum bar as shown below. At 70 F, the stresses in the steel and the aluminum bars are zero. Calculate the stresses in the steel and in the aluminum when the temperature rises to 120 F. Indicate whether the stresses are tensile or compressive. The properties of the steel and the aluminum are given below. The cross-sectional areas of the steel and the aluminum are the same.arrow_forwardSolid mechanicsarrow_forwardAn aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application?arrow_forward
- X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.arrow_forwarda13 botharrow_forwardAn aluminum alloy cylinder with a diameter of 3 in. and a height of 6 in. is subjected to a compressive load of 50,000 pounds. Assume that the material is within the elastic region and a modulus of elasticity of 11 * 106 psi. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application? c. What will be the height after load application?arrow_forward
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage LearningMaterials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning