B/A steel bar 200 mm long and having a square cross section 40 mm on an edge is pulled in tension with a load of 180,000 N and experiences an elongation of 0.20 mm. Assuming that the deformation is entirely elastic, calculate the ekastic modulus of the steel
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- 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.An 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.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?
- 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) 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 pressureSolve 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~ .
- Find the equivalent stresses at Points 1 and 2 of the element with given geometry and loading conditions according to the Maximum shear stress hypothesis and the Maximum strain energy hypothesis. Shaft diameter: 20 mm, Shaft Length 120 mm, F1 = 750N, F2 = 3000N, Mb = 2400 N.mm. Steel if St37 and Safety coefficient is 2 If taken, will this stick work safely under these operating conditions? (Yield of given steel Strength 225 Mpa, Tensile strength 370 Mpa)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.A straight bar of uniform cross sectionis tested in tension. The bar's cross sectional is 6.5 square centimeters and a length of 4 m. When the tensile load reaches 85kN, the total elongation is 2.5mm. What is the stress and the modulus of elasticity of the bar?
- 1.) A 200 kg load is hung on a wire of length 4 m, cross sectional area of 0.2 x 10 -4 m2 and Young’s modulus of 8 x 1010 Pa. What is its increase in length? 2.) When a beam 6 m long with a cross-sectional area of 19.4 cm2 is subjected to a compression force of 16 x 104 N, its length is shortened by 4.5 mm. What is the Young’s Modulus for the beam?A 0.013 m diameter, 0.5 m long cylindrical metal bar is subjected to a compressive force of 8,500 N. This load does not exceed the yield strength of the material. Determine its diameter under this load. You will need some of the following properties of the metal to solve the problem: modulus of elasticity = 207 GPa, Poisson’s ratio = 0.30, yield strength = 180 MPa, tensile strength = 380 MPa, ductility = 23% elongation.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 mm2 of the bar for a factor of safety of 2 is (A) 400 (B) 600 (C) 750 (D)1000