A steel rod is subjected to a stress of 200 MPa and has Young's modulus of 200 GPa. Calculate strain.
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- 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) 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 pressure- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.
- A copper rod of diameter 10 mm and length 4 m has a tensile force of 5 kN applied on it . Modulus of Elasticity of Copper is 96 GPa. Calculate the stress in MPa and extension in mm .A rod is subjected to a uniaxial load within linear elastic limit. When the change in the stress is 200 MPa, the change in the strain is 0.001. Calculate the modulus of rigidity if the poisson's ratio is 0.3.A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is 200 MPa, the change in the strain is 0.001. If the Poisson's ratio of the rod is 0.3, calculate the modulus of rigidity.
- A load of 20 kN is applied to a rod with a diameter of 12.5 mm. Calculate the strain in the rod if the Young’s modulus of the material is 103 GPa.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 modulusE=120 Gpa and a 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.A metal rod is 50 mm in diameter and 1.3 m long. The rod has a collar on one end and is suspended vertically. The height through which this load may fall if the instantaneous stress is limited to 90 MPa is 1.71870x 10-3 m. The value of Young modulus is 132.40 GPa. 2.1 Calculate an extension when a weight of 30 kN is suddenly lowered onto the collar. 2.2 Calculate the force required to cause the maximum stress.
- Find the tensile stress in the rod having a diameter of 25 mm subjected to a tensile load of 500 N. If Young's modulus of the material is 200 GPa, what is the strain in the rod?3. A mass of 102kg falls 12mm directly onto the end of a bar 25 mm in diameter and 1.5m long. If E for the material is 207 GPa, find the instantaneous stress produced.The longitudinal strain in a cylindrical bar of diameter 20mm and length 2.5m during the tensile stress is 3 times the lateral strain. Calculate the modulus of rigidity, bulk modulus and also find the change in volume when the bar is subjected to hydrostatic pressure of 150MPA. Take E = 150GPA.