A steel rod with length 100mm and diameter 20.0 mm is loaded in a tensile test and deforms 5.00 mm at which point the loading is stopped. For this test, E = 200 GPa, Poisson’s ratio = 0.25 and yield stress = 250 MPa. Find the length and the diameter of the rod when it started to yield and the final strain in the rod after the loading was stopped.

A steel rod with length 100mm and diameter 20.0 mm is loaded in a tensile test and deforms 5.00 mm at which point the loading is stopped. For this test, E = 200 GPa, Poisson’s ratio = 0.25 and yield stress = 250 MPa. Find the length and the diameter of the rod when it started to yield and the final strain in the rod after the loading was stopped.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.7P: (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the...

See similar textbooks

Similar questions

(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
A mild steel rod of 12mm diameter was tested for tensile strength with the gauge length of 60mm. After the test final length and the final diameter were 80mm and 7mm, respectively. Find the strain in the transverse direction
If the engineering strain in a tensile bar is 0.0025 and Poisson’s ratio is 0.33, find the original length and the original diameter if the length and diameter under load are 2.333 ft. and 1.005 in. respectively.
Find the tensile stress in the rod having a diameter of 25 mm subjected to a tensile load of 500 N. If Young's modulus of the material is 200 GPa, what is the strain in the rod?
Please help with this question in detail. I need every single step of the process. Thanks!
The question is related to Modulus of rigidity and is attached as an image.
A bar produces a lateral strain of -70 x 10-5 when subjected to tensile stress of magnitude 400 MPa along the axial direction. What is the elastic modulus of the material, if the Poisson's ratio is 0.3?
types solution only. answer is already given
A tensile test was conducted on a mild steel& the following data was obtained as follows. Diameter of the steel bar = 3 cm,Gauge length of the bar = 20 cm. Load at elastic limit = 250 kN . Extension at a load of 150kN = 0.21 mm . Maximum load = 380 kN . Total extension = 60 mm . Diameter of the rod at failure = 2. 25 cm Determine: (a) Young’s modulus (b) stress at elastic limit (c)the percentage of elongation (d) Percentage decrease in area.