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.

Abrake has a normal braking torque of 2.8 kip in and heat-dissipating cast-iron surfaces whose mass is 40 lbm. suppose a load is brought to rest in 8.0 s from an initial angular speed of 1600 rev/min using the normal braking torque; estimate the temperature rise of the heat dissipating surfaces.

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length