Along and narrow rectangular plate carries a non uniform loading p = p0 sin (πy/b) and is clamped at edges y = 0 and y = b. (a) derive an expression for the deflection surface w. (b) determine the maximum deflection and maximum strain. (c) find the radius of curvature at y = b/3 by taking b = 0.6 m, t = 15 mm, e = 200 gpa, ν = 1/3, and pp0 = 50 kpa. (hint: =)) 2.

Apiston-cylinder with a volume of 0.25 m3 holds 1 kg of air (r 0.287 k/kgk) at a temperature of 100 c. heat transfer to the cylinder causes an isothermal expansion of the piston until the volume triples. how much heat is added to the piston-cylinder?

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

Water vapor initially at 10 bar and 400 °c is contained within a piston-cylinder assembly. the water lost heat to the surrounding according to isochoric (iso-volumetric) process until its temperature is 150 °c. the water is then condensed isothermally to saturated liquid. for the water as a system, calculate the work in kj/kg