A simply supported beam 100 feet in length is pinned at its left end and supported on a roller at its right end. There is a uniformly distributed load of 10 kips/ft along the entire length of the beam. There is also a concentrated load of 20 kips downwards at 25 ft from the pinned end of the beam. Using Table H-2 in the appendix to the text,
a. develop a mathematical expression (equation) for the slope dv/dx
b. develop a mathematical expression (equation) for the deflection v(x).
c. at what position (x) on the beam will the deflection be greatest?