Materials for Civil and Construction Engineers (2nd Edition)
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ISBN: 9781292154411
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Chapter 1, Problem 1.34QP
A metal rod having a diameter of 10 mm is subjected to a repeated tensile load. The material of the rod has a tensile strength of 290 MPa and a fatigue failure behavior as shown in Figure 1.16. How many load repetitions can be applied to this rod before it fails if the magnitude of the load is (a) 5 kN and (b) 11 kN?
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A metal rod having a diameter of 10 mm is subjected to a repeated tensile load. The material
of the rod has a tensile strength of 290 MPa and a fatigue failure behavior as shown in the
figure. How many load repetitions can be applied to this rod before it fails if the magnitude of
the load is a.) 5 kN, b.) 11 kN?
(include clear explanation for the process to be understandable)
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?
A steel rod is 0.02 mi n diameter, and 2.5 m in length. The modulus of elasticity of this material is 210 GPa and a Poison's Ratio of 0.2. The change in diameter after applying a tensile force of 150 KN is?
Chapter 1 Solutions
Materials for Civil and Construction Engineers (2nd 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 tensile force of 20 kN is applied to a specimen with a gage length of 50mm. It is then noted that the distance between the gage marks became 50.122mm. a,) What is the modulus of elasticity of the specimen if its diameter is 10mm? b.) What is the axial stress of the specimen?Note: Please show detailed solutions with illustrations.arrow_forwardFigure P1.18 shows (i) elastic–perfectly plastic and (ii) elastoplastic with strain hardening idealized responses. What stress is needed in each case to have: a strain of 0.001? a strain of 0.004?arrow_forwardA 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_forward
- 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?arrow_forwardFigure P1.18 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_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_forward
- A plastic cube with a 100 mm * 100 mm * 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_forwardA cylindrical rod with a length of 380 mm and a diameter of 10 mm is to be subjected to a tensile load. The rod must not experience plastic deformation or an increase in length of more than 0.9 mm when a load of 24.5 kN is applied. Which of the four materials listed in Table are possible candidates? Justify your answer.arrow_forwardA cylindrical rod having a diameter of 0.5in is subjected to tension. How much load is required to cause a 10-4in change in the diameter. Take Young’s modulus of rod as 11x106 psi and Poisson’s ratio as 0.33.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_forwardConsider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property data: E=70GPa Y.S.=410MPa T.S.=480MPa %Elongation at failure=8% What will be the length of the bar under a structural load of 1.2×10^5N in tension? Your answer should be in units of meters (m).arrow_forwardA circular bar is 0.200 m long and 25 mm diameter. It carries a load of 50 KN. Given that the modulus of elasticity is 150 MPa, calculate the tensile stress, strain and determine how much length of the rod is increased.arrow_forward
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