A three-point bending test is performed on a glass specimen having a rectangular cross section of height d = 7 mm and width b = 8 mm; the distance between support points is 46 mm. Compute the load at fracture (N) if the flexural strength is 269 MPa.
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- (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 pressureAn aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
- 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 solid cylindrical rod 12 mm in diameter and 50 mm in length is attached to a rigid support at one end and twisted at its free end by 14°. If the Poisson’s ratio for this isotropic material is 0.34 and Young’s modulus is 70 GPa, what is the maximum shear stress induced?cylindrical bar of aluminum 20 mm in diameter is to be deformed elastically in tension. Aforce of 17,000 N. produces a reduction in specimen diameter of 3*10-3 mm if its elastic modulus is100 GPa. Draw the deformation situation and Compute Poisson’s ratio for this material if its elasticmodulus is 100 GPa?
- A bar is subjected to fluctuating tensile load from 20 kN to 100 kN .The material has yield strength of 240 MPa and endurance limit in reversed bending is 160 MPa. According to the Soderberg principle, calculate the area of cross-section in mm² of the bar for a factor of safety of 2.A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield strength of 240 MPa and endurance limit in reversed bending is 160 MPa According to the Soderberg principle, the area of cross-section in mm of the bar for a factor of safety of 2 is.....The data shown in the accompanying table are From a tensile test of high-strength steel. The test specimen has a diameter of 0.505 in. and a gage length of 2.00 in. (see figure for Prob. 1.5-3). At fracture, the elongation between the gage marks is 0.12 in. and the minimum diameter is 0.42 in. Plot the conventional stress-strain curve for the steel and determine the proportional limit, modulus of elasticity (the slope of the initial part of thestress-strain curve), yield stress at 0.1% offset, ultimate stress, percent elongation in 2.00 in., and percent reduction in area. TENSILE-TEST DATA FOR PROB. L.5-7 Laid (lb) Elongation (in) 1000 0.0002 2000 0.0006 6000 0.0019 10,000 0.0033 12,000 0.0039 12,900 0.0041 13,400 0.0047 13,600 0.0054 13,800 0.0063 14,000 0.0090 14,400 0.0102 15,200 0.0130 16,800 0.0230 18,400 0.0336 20,000 0.0507 22,400 0.1108 22,600 Fracture
- A cylindrical specimen of a metal alloy 8 mm in diameter is stressed elastically in tension. A force of 15700 N produces a reduction in specimen diameter of 5*10^-3 mm. Compute Poisson ratio for this material if its elastic modulus is 140 GPa.A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus of elasticity for steel may be taken as 200 kN/mm2. Find stress, strain and elongation of the bar due to applied load.To support a tensile load of 65 kN, a circular cross section and A metallic rod with a length of 0.32 m will be used. Stress in bar 240 MPa value and maximum elongation is desired to be 0.42 mm. In these conditions,what is the minimum diameter of rod [m]?(Elasticity for metallic bar Take the module as 220 GPa).