A steel specimen of 12 mm diameter extends by 6.31 x 10-2 mm over a gauge length of 150 mm when subjected to an axial load of 10 kN. The same specimen undergoes a twist of 0.5° an a length of 150 mm over a twisting moment of 10 N-m. Using the above data, determine the elastic constants E, μ, G and K.

A steel specimen of 12 mm diameter extends by 6.31 x 10-2 mm over a gauge length of 150 mm when subjected to an axial load of 10 kN. The same specimen undergoes a twist of 0.5° an a length of 150 mm over a twisting moment of 10 N-m. Using the above data, determine the elastic constants E, μ, G and K.

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.5P: The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen...

See similar textbooks

Similar questions

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.
Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).
2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. * Determine the lateral strain. Your answer Determine the axial strain. Your answer Determine the Poisson's rati v. Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answer
A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. Determine the yield strength (σy) at a strain offset of 0.002.
2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answer
A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in the figure. Axial loads are applied at the positions indicated. If P 4000 Ib and the cross-sectional area of the rod is 1.0 sq.in. What is %3D the stress in the bronze? (in ksi) Note: indicate sign (no sign means positive/tenslon) 4P Steel Bronze Aluminum 2 ft 3 ft 2.5 ft
3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 m
A test conducted on a steel bar whose cross section is 0.5 in. by 4 in. is performed. Anaxial load of P = 30,500 lb. produced a deformation of 0.00103 in. over a gauge lengthof 2 in. and a decrease of 0.000078 in. in the 0.5-in. thickness of the bar. Determinea. Poisson’s ratio,b. the elastic modulusc. the decrease in the 4-in. cross-sectional dimension.
A mild steel bar of square cross-section 40 mm x 40 mm is 400 mm long it is subjected to a longitudinal tensile stress of 440 N/mm² and lateral compressive stress is 200 N/mm² in perpendicular directions. E = 2 x 105 N/mm², μ = 0.3. What is the approximate elongation of the bar in the longitudinal direction?
An aluminum pipe (modulus of elasticity 10.1x10^6 psi) is fixed at one end and is subjected to a tensile load of 127.5 kips at the free end. The length and cross-sectional area of the pipe is given as 36.1 in and 9.11 in^2. Assume that the aluminum pipe has clockwise torques (100 lb-in) acting at the midpoint and free end of the pipe. (a) Derive the element stiffness matrix
An aluminum-alloy block (E = 70 GPa) is loaded as shown in the diagram below. The application of this load produces a tensile strain of 500 x 10-6 at A as measured by means of a strain gage. Compute the magnitude of the applied force P and locate the neutral axis. 10 cm 15 cm 30 cm 2.5 cm Gage A