A tendon tissue 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with a load of 50 KN, and experences an elongation of 0.10 mm. Assuming that the detormation is entirely elastic, calculate the elastic modulus of the tissue Oa 125 GPa Ob 22 25 GPa OC 25 GPa Od 12.5 GPa
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- 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 300The 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?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 high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?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?Solve the preceding problem for an aluminum plate with h = 10 in.. i = 0.75 in., E = 10,600 ksi, v = 0.33. P = 96 kips. Pt,. = 24 kips. and V =18 kips. For part (b) of Problem 7.5-12, assume that the required strain energy stored is 640 in.-lb. In part (c). the change in volume cannot exceed 0.05%.
- A W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.A cylindrical specimen of some metal alloy 11.7 mm (0.4606 in.) in diameter is stressed elastically in tension. A force of 15600 N (3507 lbf) produces a reduction in specimen diameter of 6 × 10-3 mm (2.362 × 10-4 in.). Compute Poisson's ratio for this material if its elastic modulus is 100 GPa (14.5 × 106 psi).consider a cylindrical nickle wire 1.9 mm in diameter and 3.0*104 mm long. calculate its elongation when a load of 260 N is applied. Asuume that the deformation is totally elastic and that the eleastic modulus for nickel is 207 GPa (or 207* 109 N/m2)
- A cylindrical bar of metal having a diameter of 18.8 mm (A=278 mm^2) and a length of 198 mm is deformed elastically in tension with a force of 49400 N. Given that the elastic modulus and Poisson's ratio of the metal are 67.1 GPa and 0.34, respectively, determine the amount by which this specimen will elongate (in mm) in the direction of the applied stress.A titanium alloy specimen with an elastic modulus of 107 GPa and 3.9 mm in original diameter will experience elastic deformation when applied to a tensile load of 2695.2 N. Calculate the maximum length the specimen would reach if the maximum allowable elongation is 0.4 mm.(a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material.