A tensile test was performed on a metal specimen with a diameter of
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- Consider a 1,000-mm long, 25-mm diameter sample subjected to a tension test. Automatic high-precision gages recorded that for an applied load of 150 kN, the sample experienced a longitudinal strain of 2×10−3mm/mm. Assuming that the material remained elastic while loaded, determine its modulus of elasticity. A. 175.0 GPa B. 63.7 GPa C. 152.8 GPa D. 72.9 GPa Which of the following occurs when the value of Poisson’s ratio is doubled and the modulus of elasticity is kept constant? a. The lateral deformations experienced by the material is halved b. The volume of the material will remain constant when subjected to external forces c. The elastic region of the shear stress-strain diagram would be less steep d. The material can withstand higher amounts of stress before permanent deformations occurarrow_forwardTension specimens (diameter d0 0.500 in., gage length L0 2.00 in.) made of structural materials A and B are tested to failure in tension. (a) At failure the distances between the gage marks are LAf 2.90 in. and LBf 2.22 in.; the corresponding diameters at the failure cross sections are dAf 0.263 in. and dBf 0.471 in., respectively. Determine the percent elongation in 2 in. and the percent reduction in area for these two materials, and classify each material as either brittle or ductile. (b) From these tensile tests the following data are also obtained: EA 10.0 103 ksi, (Y)A 5 ksi, (U)A 13 ksi; EB 10.4 103 ksi, (Y)B 73 ksi, (U)B 83 ksi. From the data given here, make rough sketches (to scale) of the stress-strain diagrams of materials A and B.arrow_forwardFollowing experimental data are obtained from tensile test of a rectangular test specimen with original thickness of 2,5 mm, gauge width of 24 mm and gauge length of 101 mm: Load (N) Elongation (mm) 0 0 24372 0,183 23008 0,315 28357 5,777 35517 12,315 27555 17,978 23750 23,865 Based on the information above; draw stress-strain diagram of the material and answer the following questions. - Calculate the yield strength (in MPa) of the material. - Calculate the percent elongation of the specimen at yield point. (Use at least five decimal units) - Calculate the stiffness (in MPa) of the specimen material. - Calculate the ultimate strength (in MPa) of the material. - Calculate the percent elongation of the specimen at point of ultimate strength. - Calculate the fracture strength (in MPa) of the material. - Calculate the percent elongation of the specimen at fracture point. - Determine the modulus of resilience (in N.mm/mm3) of the…arrow_forward
- A steel pipe of length L =7.0 ft, outside diameter d2 = 6.0 in., and inside diameter d1 = 4.5 in. is compressed by an axial force P 140 kN. The material has modulus of elasticity E = 30,000 ksi and Poisson's ratio v = 0.30. Determine the following quantities for the pipe: (a) the shortening (delta) (b) the lateral strain E' , (c) the increase Ad2 in the outer diameter and the increase Ad1 in the inner diameter, and (d) the increase At in the wall thickness.arrow_forwardCalculate the stress at the edge region of a cement concrete pavement using Westergaard's stress equation. The following data may be used Wheel load= 4100 kg Modulus of a elasticity of cement concrete= 3 x 10^5 kg/cm² Pavement thickness=18 cm Poisson's ratio of concrete = 0.15 Modulus of subgrade reaction = 6 kg/cm³ Radius of contact area= 15 cmarrow_forwardDuring a tensile test on a specimen the following results were obtainedload(KN) 15 30 40 50 55 60 65 70 75 80 82 80 70extension(mm) 0.05 0.094 0.127 0.157 1.778 2.79 3.81 5.08 7.62 12.7 16 19.05 22.9diameter of gauge length=19mmdiameter at fracture=16.49mmgauge length=100mmgauge lengthat fracture=121mmplot the complete load extension graph and the straight line portion to an enlarged scale .hence determinethe modulus of elasticitythe percentage elongationthe percentage reduction in areathe nominal stress at fracturethe actual stress at fracturethe tensile strengtharrow_forward
- The following data were collected from a 0.4-in.-diameter test specimen of polyvinyl chloride (l0 5 2.0 in.): Load (lb) 0 Δl (in.) 0.00000 300 600 900 1200 1500 1660 1600 0.00746 0.01496 0.02374 0.032 0.046 0.070 (maximum load) 0.094 1420 0.12 (fracture) After fracture, the total length was 2.09 in. and the diameter was 0.393 in. Plot the engineering stress strain curve and calculate (a) the 0.2% offset yield strength; (b) the tensile strength; (c) the modulus of elasticity; (d) the % elongation; (e) the % reduction in area; (f) the engineering stress at fracture; and (g) the modulus of resilience.arrow_forwardFollowing experimental data are obtained from tensile test of a rectangular test specimen with original thickness of 2,5 mm, gauge width of 24 mm and gauge length of 101 mm: Load (N) Elongation (mm) 0 0 24372 0,183 23008 0,315 28357 5,777 35517 12,315 27555 17,978 23750 23,865 Based on the information above; draw stress-strain diagram of the material and answer the following questions. - Calculate the fracture strength (in MPa) of the material. - Calculate the percent elongation of the specimen at fracture point. - Determine the modulus of resilience (in N.mm/mm3) of the material. (Use at least five decimal units) - Determine the toughness index number (in N.mm/mm3) of the material. - Determine the elastic energy absorption capacity (in N.mm) of that specimen. - Determine the plastic energy absorption capacity (in N.mm) of that specimen.arrow_forwardA 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 = 74.0 ksi, e = 104.0 ksi , g = 85.0 ksi , and h = 0.15 in/in. 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 = 2.7 in . Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 11.0 kips, find the nominal stress experienced by the rod. Determine the force P needed to reach the ultimate stress in the steel-rod specimen.arrow_forward
- A sample of a dry coarse grained material of mass 500 grams was shaken through a nest of sieves and the following results were obtained a. Plot the gradation curve. B. Determine the effective size uniformity coefficient ,coefficient of curvature and sorring coefficientarrow_forwardFigure 1a shows a concrete beam supported by twosolid circular columns. Column AB is made from steeland column CD is made from aluminium, see the stressstrain graphs in Figure 1b. The concrete beam issubjected to the load P as shown in Figure 1a.1. Determine the normal stress in column AB andcolumn CD. 2. Determine the relative change in angle of point Cto A in degrees. Given: P= 100KN L1= 3m L2= 2m L3= 1m dAB= 60mm dCD= 60mmarrow_forwardDuring a test of an airplane wing, the straingage readings from a 45° rosette (see figure) are asfollows: gage A, 520 X10-6 ; gage B, 360 X10-6 ; andgage C, 280 X10-6 .Determine the principal strains and maximumshear strains, and show them on sketches of properlyoriented elements.arrow_forward
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage Learning