EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
4th Edition
ISBN: 8220102719569
Author: ZANIEWSKI
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.9QP
A material has a stress–strain relationship that can be approximated by the equation
where the stress is in psi. Find the secant modulus and the tangent modulus for the stress level of 50,000 psi.
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A steel rod with a cross sectional area of 180 mm² is stretched between two fixed points. The Tensile load at 25 degrees is 3600 N. Assume α= 11.7 x10^-6 mm/(mm –degree celsius) and E = 200 GPA. Calculate the temperature at which the stress will be zero.
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A material has a stress-strain relationship that can be approximated by the
equation
= 0.3 x 10 16 x a
where the stress is in kPa. Find the secant modulus and the tangent modulus for the
stress level of 345 MPa.
A material has a stress–strain relationship that can be approximated by theequation e = 0.3 * 10-16 x s3 where the stress is in kPa. Find the secant modulus and the tangent modulus for the stress level of 345 MPa.
Chapter 1 Solutions
EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
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 material has a stress-strain relationship that can be approximated by the equation 3 € = 0.3 × 10-¹6 × ³ where the stress is in psi. Find the secant modulus and the tangent modulus for the stress level of 50,000 psi.arrow_forwardThe state of stress at a certain point in a stressed body is shown in figure. The magnitudes of normal stresses in x & y directions are 100 MPa& 100 MPa respectively. Determine the radius of Mohr's circle representing this state of stress (in MPa). Ox Oy Cyarrow_forwardA piece of 50 mm x 30 mm material experiences a homogenous deformation as shown in the figure below. The deformed shape in x-y plane is illustrated by the solid lines. If E = 3.9 GPa and the Poisson's Ratio is 0.35, what is the associated shear stress? provide your answer in MPa with precision to two decimal points. Answer: 0.014 30 0.010 y 0.009 0.012 50arrow_forward
- The stress–strain diagram for the material of a column can be approximated as shown. Plot P/A vs. KL/r for the column.arrow_forwardThe state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 11 N/mm², find the minimum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm?. If the answer is negative do insert the "-" sign. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Ixy 10 N/mm2arrow_forwardM A cylinder of outer radius R2=100 mm is fitted on another cylinder of outside radius R₁=85 mm with thickness t=30 mm, as depicted below. If the (tensile) maximum hoop stress at the interface between the two cylinder is 90 MPa, solve the following questions (E=105 MPa and v=0.15). === R₁ What is the radial stress between the cylinders? What is the shrinkage allowance at the interface? ( M R₂ )arrow_forward
- A tension test performed on a metal specimen to fracture produced the stress-strain relationship shown in Figure. Graphically determine the following (show units and all work):a. Modulus of elasticity within the linear portion.b. Yield stress at an offset strain of 0.002 in./in.c. Yield stress at an extension strain of 0.005 in/in.d. Secant modulus at a stress of 62 ksi.e. Tangent modulus at a stress of 65 ksi.arrow_forwardThe state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principle stress is 10 MPa, then normal stress oy (in MPa) is (Rounded upto two decimal places) Oy Txy = 50 MPa Ox = 100MPa Darrow_forwardThe state of stress at a certain point in a stressed body is shown in figure. The magnitudes of normal stresses in x & y directions are 100 MPa& 100 MPa respectively. Determine the radius of Mohr's circle representing this state of stress (in MPa). Oy 0x4 9. Oxarrow_forward
- 2 - A strain gauge is attached to the surface of a circular shaft with a radius of 40 mm, as shown in the figure. The strain gauge reads -200μ when the shaft is subjected to torsion T. Determine the value of T. 20% Strain gauge T G=30GPaarrow_forwardThe hydrostatic stress for the state of stress represented by Oij given below is ΜΡα Vij = 100 50 50 50 125 75 50 75 75 MPaarrow_forwardThe hydrostatic stress for the state of stress represented by Oij given below is MPa Oij= 100 50 50 50 125 75 50 75 75 MPaarrow_forward
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