Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 1, Problem 1.8QP
A plastic cube with a 4 in. × 4 in. × 4 in. is placed in a pressure chamber and subjected to a pressure of 15,000 psi. If the modulus of elasticity is 1000 ksi and Poisson’s ratio is 0.49, what will be the decrease in each side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the cube?
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1. A vertical pressure of 70 MPa is applied to an aluminum cube sample with a length of 10
cm on each side. The modulus of elasticity of aluminum is 70000 MPa and the Poisson ratio
is 0.3.
a) Find the new dimensions of the cube
b) What will be the new dimensions if 70 MPa pressure is applied in the horizontal
directions in addition to the 70 MPa pressure in the vertical direction?
A 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?
Chapter 1 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 1 - State three examples of a static load application...Ch. 1 - A material has the stressstrain behavior shown in...Ch. 1 - A tensile load of 50.000 lb is applied to a metal...Ch. 1 - A tensile load of 190 kN is applied to a round...Ch. 1 - A cylinder with a 6.0 in. diameter and 12.0 in....Ch. 1 - A metal rod with 0.5 inch diameter is subjected to...Ch. 1 - A rectangular block of aluminum 30 mm 60 mm 90...Ch. 1 - A plastic cube with a 4 in. 4 in. 4 in. is...Ch. 1 - A material has a stressstrain relationship that...Ch. 1 - On a graph, show the stressstrain relationship...
Ch. 1 - The rectangular block shown in Figure P1.11 is...Ch. 1 - The rectangular metal block shown in Figure P1.11...Ch. 1 - A cylindrical rod with a length of 380 mm and a...Ch. 1 - A cylindrical rod with a radius of 0.3 in. and a...Ch. 1 - A cylindrical rod with a diameter of 15.24 mm and...Ch. 1 - The stressstrain relationship shown in Figure...Ch. 1 - A tension test performed on a metal specimen to...Ch. 1 - An alloy has a yield strength of 41 ksi, a tensile...Ch. 1 - Prob. 1.21QPCh. 1 - Figure P1.22 shows (i) elasticperfectly plastic...Ch. 1 - An elastoplastic material with strain hardening...Ch. 1 - A brace alloy rod having a cross sectional area of...Ch. 1 - A brass alloy rod having a cross sectional area of...Ch. 1 - A copper rod with a diameter of 19 mm, modulus of...Ch. 1 - A copper rod with a diameter of 0.5 in., modulus...Ch. 1 - Define the following material behavior and provide...Ch. 1 - An asphalt concrete cylindrical specimen with a...Ch. 1 - What are the differences between modulus of...Ch. 1 - Prob. 1.33QPCh. 1 - A metal rod having a diameter of 10 mm is...Ch. 1 - What is the factor of safety? On what basis is its...Ch. 1 - Prob. 1.36QPCh. 1 - Prob. 1.37QPCh. 1 - A steel rod, which is free to move, has a length...Ch. 1 - In Problem 1.38, if the rod is snugly fitted...Ch. 1 - A 4-m-long steel plate with a rectangular cross...Ch. 1 - Estimate the tensile strength required to prevent...Ch. 1 - Prob. 1.42QPCh. 1 - Briefly discuss the variability of construction...Ch. 1 - In order to evaluate the properties of a material,...Ch. 1 - A contractor claims that the mean compressive...Ch. 1 - A contractor claims that the mean compressive...Ch. 1 - Prob. 1.47QPCh. 1 - Prob. 1.48QPCh. 1 - Prob. 1.49QPCh. 1 - Briefly discuss the concept behind each of the...Ch. 1 - Referring to the dial gauge shown in Figure P1.51,...Ch. 1 - Repeat Problem 1.51 using the dial gauge shown in...Ch. 1 - Measurements should be reported to the nearest...Ch. 1 - During calibration of an LVDT, the data shown in...Ch. 1 - During calibration of an LVDT, the data shown in...
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- A cube made of an alloy with dimensions of 50 mm x 50 mm x 50 mm is placed into a pressure chamber and subjected to a pressure of 90 MPa. If the modulus of elasticity of the alloy is 100 GPa and Poisson's ratio is 0.28, what will be the length of each side of the cube, assuming that the material remains within the elastic region?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_forwardA cube made of an alloy with dimensions of 50 mm * 50 mm * 50 mm is placed into a pressure chamber and subjected to a pressure of 90 MPa. If the modulus of elasticity of the alloy is 100 GPa and Poisson’s ratio is 0.28, what will be the length of each side of the cube, assuming that the material remains within the elastic region?arrow_forward
- A plastic cube with a 4 in. x 4 in. x 4 in. is placed in a pressure chamber and subjected to a pressure of 15,000 psi. If the modulus of elasticity is 1,000 ksi and Poisson’s ratio is 0.49, what will be the decrease in each side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the cube?arrow_forwardshow all details pleasearrow_forwardA solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing machine until the applied torque reaches the value T = 500 N · m . At this value of torque, a strain gage oriented at 45° to the axis of the bar gives a reading e = 342 x 10-6. What is the shear modulus G of the material? Strain gage Įd = 50 mm T= 500 N-m T Round to one decimal place. G = GPaarrow_forward
- A plastic cube with a 100mm * 100mm * 100mm is placed in a pressure chamber and subjected to a pressure of 100MPa. If the modulus of elasticity is 7GPa and Poisson’s ratio is 0.39, what will be the decrease in each side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the cube?arrow_forwardPROBLEM 4: As shown in the diagram shown, there is a gap of 0.5 mm between the rods at 10°C. Determine the stress in each rod if the temperature is raised to 150°C. The properties of each material are shown in the diagram. 0.5 mm FINAL ANSWERS 300 mm -250 mm MPa O alum O steel MPа Aluminum Stainless steel A = 2000 mm2 E = 75 GPa a = 23 × 10-6°C A = 800 mm? E = 190 GPa 17.3 x 10-6/°Carrow_forwardA solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing machine until the applied torque reaches the value T = 500 N •m. At this value of torque, a strain gage oriented at 45° to the axis of the bar gives a reading e = 339 × 10-6, What is the shear modulus G of the material? Strain gage Įd = = 50 mm T= 500 N-m T Round to one decimal place. GPa G =arrow_forward
- A rigid slab weighing 600 ku is placed upon two ·bronze rods and one steel rod each of 6000 mm² area at a temperature of 15¢ as shown, find the temperature at which the stress in steel rod will be Zero? take: Coefficient of expansion for steel = 12 um/m. c coefficient of expansion for bronze = 18 um/m. c Young's modulus for steel = 200 G Va Young's modulus for bronze = 80 GPa 600 IN 250mm 300mm -bronze -Steelarrow_forwardA plastic cube with a 4 in. * 4 in. * 4 in. is placed in a pressure chamber and subjected to a pressure of 15,000 psi. If the modulus of elasticity is 1000 ksi and Poisson’s ratio is 0.49, what will be the decrease in each side of the block,assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the cube?arrow_forwardAnswer fastarrow_forward
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