When a uniform-cross-section beam with simple supports at the ends is loaded with a single concentrated load, the location of the maximum deflection will always be near the halfway point (so you can always use x = L/2 to get a quick estimate of the maximum deflection). Of the location of the maximum deflection is given by x = L/2 ± (a)L, determine the largest value of (a) for any single concentrated load.

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