A 2 m long alloy bar of 1500 mm² cross-sectional area hangs vertically and has a collar securely fixed at its lower end. What is the stress-induced in the bar when a weight of 2 kN falls from a height of 100 mm on the collar? (Take E = 120 GPa)
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- A flat bar with a cross section of 8 mm by 50 mm elongates 2.1 mm in a length of 1.5 m as a result of an axial load of 50 kN. The proportional limit of the material is 240000 KN/sq m. Determine the axial stress in the bar and the modulus of elasticitymechanics deformable bodies 1. A hollow steel shaft has an outside diameter of 220 mm and an inside diameter of 200 mm. Which of the following nearly gives the torque in kN-m that will cause stress of 75.5 MPa in the shaft?A 1-m long steel bar(E = 200 GPa) of 10x10mm dimension fixed at both ends is heated by 90 ᴼC from initially 30 ᴼC. What is the normal stress, in MPa, induced in the system due to change in temperature? Use α= 12x10-6 per ᴼC.
- A 25m steel rod with diameter of 20 mm is secured between rigid supports at both ends. If there is no stress at a temperature of 20oC, E = 200GPa.6. Compute the stress when the temperature drops to 0oC, if it has a coefficient of thermal expansion of 0.0000117 m/moC. 7. Compute the strain of the rod if the rod supports yield and move together a distance of 0.5mm as temperature drops.8. Compute the stress in the rod if the supports yield and move together a distance of 0.5mm as the temperature drops.The rigid, horizontal slab is attached to two identical copper rods. There is a gap ∆ = 0.18 mm between the middle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 60 oC. Use the following data:A steel bar 25cm long of rectangular cross section 25mm by 50mm is subjected to a uniform tensile stress of 200N/m^2 along it's length.find the changes in dimension.E=205000N/mm^2, poison ratio=0.3
- A steel flat 10 cm wide and 2 cm thick is bent into a circular arc of 50m radius.Find the maximum intensity of stress induced. Take E = 2.05 * 10 ^ 5 N/mm².A vertical cylindrical tank is 6 ft. in diameter and 10 ft. high. It sides are held in position by means of two hoops, one at top and one at bottom. The tank is filled with water up to 9 ft. Determine the tensile stress at the top?A solid 1.7 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant. The torque delivered by the shaft is 3000 lb·in. What horsepower must be delivered to the shaft to maintain a shaft speed of 630 rpm? What is the maximum shear stress developed in the shaft?
- The tank shown in the figure is fabricated from a 10 mm steel plate. Determine the longitudinal and tangential stress developed by an internal pressure of 1.2 MpaCompute the stress distribution of the beam shown in the figure at mid-section. Cross-sectional dimensions of the beam is 14in X 40in. If the tensile capacity is 1ksi, comment on stability of the beam.a 3 m long cantilever beam (i.e., a beam fixed at one end) that carries a 500 kg concentrated point load at the free end. Calculate the maximum tensile stress in the beam for the beam section dimensions shown below (Assume solid and homogeneous material; use g = 9.81 m/s2) give answer in N/m^2