Design a rectangular beam section, i. e. select b, d, h, and the required area of tension steel, As at mid-span for a 22 ft-span simply supported beam that support its own weight, a superimposed service dead load of 1.25 kip/ft, and a uniform service live load of 2 kip/ft. Start by assuming the self-weight of the beam Ws = 410 lbs/ft, b = 0.7d, and use ′ = 5 psi and = 6, psi. The middle T beam shown has a span of 18 ft. Determine the required area of tension steel for the T-beam to supports a service dead load moment of 100 k/ft and a service live load moment of 125 k/ft. Use fc single prime = 4000 psi and f_y = 60, 000 psi.

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Aflywheel accelerates for 5 seconds at 2 rad/s2 from a speed of 20 rpm. determine the total number of revolutions of the flywheel during the period of its acceleration. a.5.65 b.8.43 c. 723 d.6.86