Two steel bars (Es = 200 GPa, αs 11.7 x 10-6 /°C) are used to reinforce a brass bar (Eb=105 GPa, αb = 20.9 x 10-6 /°C) that is subjected to a load P = 25 kN. When the steel bars were fabricated, the distance between the centres of the holes that were to fit on the pins was made 0.5 mm smaller than the 2 m needed. The steel bars were then placed in an oven to increase their length so that they would just fit on the pins. Following fabrication, the temperature in the steel bars dropped back to room temperature. Determine (a) the increase in temperature that was required to fit the steel bars on the pins, (b) the stress in the brass bar after the load is applied to it.

Q: The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares,…

A: GivenE=100GPaA=340mm2L1=810mmL2=1080mma=480mmb=38mmc=600mmσlim=165MPa

Q: A compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional…

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Q: n the figure shown, the cutaway view shows a solid aluminum alloy of L= 600mm, A= 707mm^2 and E=…

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Q: A compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional…

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Q: Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P…

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Q: Two circular plates with (2d) and (d) as outer and inner diameters respectively, are clamped…

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Q: A vinyl [E = 2.70 GPa; v = 0.44] block with width b = 50 mm, depth d = 100 mm, and height h = 270 mm…

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Q: Two steel bars (Es=200 GPa and αs=11.7 3 10–6/°C) are used to reinforce a brass bar (Eb=105 GPa,…

A: Given data Es=200 GPaαs=11.7×10-6/°cEb=105 GPaαb=20.9×10-6/°cP=25 kN

Q: A bronze bar (E = 103 GPa, v = 0.34) with initial dimensions shown is loaded with P = 80 kN. change…

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Q: Problem: A horizontal steel wire AB is stretched between rigid supports. The initial pre-stress in…

A: Given data: σ=48 MPaTi=15°Cα=12×10-6 /°CE=200 GPa Need to determine the temperature when the stress…

Q: A slab of granite countertop is subjected to a tensile force of 3.3 kN, as illustrated below.  What…

A: GivenF=3.3kNL=2075mmw=500mmt=16mmn=0.25E=53000MPa

Q: A vinyl [E = 2.85 GPa; v = 0.41] block with width b = 50 mm, depth d = 100 mm, and height h = 270 mm…

A: Young's modulus= 2.85GPaPoisson's ratio= 0.41Load applied = 100kN Find the change in depth

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.