Q2 A tensile test specimen having a diameter of(10 mm) und a page length of (S0 mm) was tested tofracture The stieisitrain curve from the tensiotn testis shown in Figure (9) The lower plat is theexpanded tegion OAT and associatod with the strainvaluns tiven on the lower scale Determine,480Lpper veileAB241Loser scale+ The ultimaie stress,be The propotional limit,120e The fracture strees4 The modulus of elasticity,OAK 0.04 0.0s0.000.12 0.16 1.200K2 DANN 0.006 0.008 0.010e T'he offiet yield stuen at 0.2%,Strain tmm/um)G The asial force ucting on the specireni whert t i uxtended byFiguie (3)a sans

Given Datad=10mmL=50mm ***As per our company policy we are supposed to do only 3 subparts if you…

Q2 A tensile test specimen having a diameter of (10 mm) und a page length of (50 mm) wis tested to fracture The sticis itrain curye from the tensioti test is shown in Figure (9) The lower plat is the expanded tegion OATH and associated with the strain valuns iven on the lower scale Determine, 480 Upper veide Loser scale AB A 241 The ultimale stres, 120 b The propartional limit, v The fiacture strees d. The modula of elasticity, 0.12 0.16 20 0.00 0.002 DANN 0.006 0,008 0.010 e T'he offiet yield sten at 0.2%, Struin tmm/m) G The asial force actiog on the speiimen whert it in oxtended by Figuie (3) ra saus

Q2 A tensile test specimen having a diameter of (10 mm) und a page length of (50 mm) wis tested to fracture The sticis itrain curye from the tensioti test is shown in Figure (9) The lower plat is the expanded tegion OATH and associated with the strain valuns iven on the lower scale Determine, 480 Upper veide Loser scale AB A 241 The ultimale stres, 120 b The propartional limit, v The fiacture strees d. The modula of elasticity, 0.12 0.16 20 0.00 0.002 DANN 0.006 0,008 0.010 e T'he offiet yield sten at 0.2%, Struin tmm/m) G The asial force actiog on the speiimen whert it in oxtended by Figuie (3) ra saus

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...

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Similar questions

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 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?
- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
Gerilme-Şekil Değiştirme Diyagramı = Stress-Strain Diagram
To determine the nominal or engineering stress and strain experienced by a specimen of a material while it is subjected to a tension test, and to be able to read important values from a conventional stress-strain diagram obtained from the test. A tension test is being conducted on a steel-rod specimen with a gauge length of L0=50 mm and initial diameter of d0=13 mm. Data were collected to form the conventional stress-strain diagram as shown. From the diagram, f = 506 MPa , e = 689 MPa , g = 585 MPa , and h = 0.146 mm/mm . A) Assuming that the strain remains constant throughout the region between the gauge points, determine the nominal strain ε experienced by the rod if it is elongated to L = 53.0 mm . B) Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 16.0 kN , find the nominal stress experienced by the rod. C)Determine the force P needed to reach the ultimate stress in the steel-rod specimen.
A tension test was performed on a steel specimen having an original diameter of 12.5 mm and gauge length of 50 mm. The data is listed in the table. Plot the stress–strain diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the rupture stress. Use a scale of 25 mm = 140 MPa and 25 mm = 0.05 mm/mm. Redraw the elastic region, using the same stress scale but a strain scale of 25 mm = 0.001 mm/mm.
To determine the nominal or engineering stress and strain experienced by a specimen of a material while it is subjected to a tension test, and to be able to read important values from a conventional stress-strain diagram obtained from the test.A tension test is being conducted on a steel-rod specimen with a gauge length of L0=2 in and initial diameter of d0=0.5 in. Data were collected to form the conventional stress-strain diagram as shown. From the diagram, f = 73.0 ksi , e = 101.0 ksi g=83.0ksi, and h=0.15in/in Part A - Nominal or engineering strain in the rod Assuming that the strain remains constant throughout the region between the gauge points, determine the nominal strain ε experienced by the rod if it is elongated to L = 2.5 in . Express the nominal strain in inches per inch to three significant figures. Part B - Nominal or engineering stress in the specimen Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 8.0 kips ,…