A) using singularity functions, write a single equation for m(x) along the beam. hint: use the constant ‘w’ for 30 lb/in and ‘ l’ for 120 in.; it will make the algebra in the next couple of parts much easier.
b) find the reactions at a and b.
c) find the deflection of the beam at x=120 in. if it is an s-beam (s24x80 structural steel; e = 29 x 106 psi; i = 2100 in4).

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false

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