. A cylindrical rod of steel (E = 207 GPa) having a yield strength of 310 MPa is to be subjected to a load of 11,100 N. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0.38 mm?
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- 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?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 300Quèstion 3 4 p From the following figure shows the tensile stress- strain curve for a plain-carbon steel. What is its modulus of elasticity? 600 MPa 600r 10 psi 50 60 400 400 40 20 100 0.05 0.10 0.15 Stain O A. 320 GPa O B. 500 GPa OC.400 GPa O D.215 GPa Sem (MP
- 1. A circular rod of diameter 20mm and 500mm long is subjected to atensile force 50kN. The modulus elasticity for steel may be taken as 200kN/??2. Find stress and strain due to applied load.A square bar of wrought iron, 2 inches on each side, is raised to a temperature of 100 deg F above its normal. If held so that it cannot expand, K = 6.8 x 10-6 per deg F. What is the force necessary to prevent expansion? The modulus of elasticity E may be taken as 30 million psi. ( Answer : 81,600 lb)Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F. Select one: O F = 5236 N O F = 6283 N %3D O F= 13090N O F = 10472 N O F= 15708N OF=4189 N 9:22 PM EN ? 4/15/2021
- The steel bar with a circular cross section of 14 mm diameter and 22 cm length, produced from a material with linear elastic behavior, elongates 0.11 mm under the effect of 16 kN tensile load and breaks at 24 kN load. How many MPa is the modulus of resilience of this bar?Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 120 Gpa anda Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F.An AISI 1020 steel rod 12 feet long is anchored between two rigid supports. At 68 degrees the rod has a stress of 6,000 psi. At what temperature will the rod have no stress? (assume the rod is in tension) Could someone please help me solve this question?
- 1. The greatest tensile stress that steel of a particular sort can withstand without breaking is about 10⁹ N m². A wire of a cross-sectional area 0.01 mm² is made of this steel. What is the greatest force that it can withstand? 2. Find the minimum diameter of an alloy cable, tensile strength 75 MPa, needed to support a load of 15 KN? 3. Calculate the tensile stress in a suspension bridge supporting cable, of a diameter of 50 mm, which pulls up on the roadway with a force of 4 kN.A 8mm diameter rod, of unknown material, is subjected to 50kN tensile load. In the process, its length increased from 300mm to 303mm. If the stress is proportional to strain, determine the modulus of elasticity, in GPa. of the material?A brittle material made of ASTM grade 30 cast iron has ultimate strength in tension of 31 kpsi and ultimate strength in compression of 109 kpsi and undergoes the following plane of stress state: o, = 20 kpsi and Tyy = 10 kpsi (CW). a) using the 3D Mohr's circle, find all three principal normal stresses. b) using the Brittle-Coulomb-Mohr theory and Modified-Mohr theory, find the factors of safety for the given plane of stress state.