Segments AB and BCD of beam ABCD are pin connected at x =10 ft. The beam is supported by pin support at A and roller supports at C and D; the roller at D is rotated by 308 from the x axis (see figure). A trapezoidal distributed load on BC varies in intensity from 5 = lb/ft at B to 2.5 lb/ft at C. A concentrated moment is applied at joint A, and a 40-lb inclined load is applied at the mid-span of CD.

(a) Find reactions at supports A, C, and D.

(b) Find the resultant force in the pin connection at B.

(c) Repeat parts (a) and (b) if a rotational spring (kr = 50 ft-lb/radian) is added at A and the roller at C is removed.

Transcribed Image Text:

150 lb-ft at joint A Part (c) 10 ft X 5 lb/ft 5 ft 2.5 lb/ft/ TIC B 10 ft Pin connection /40 lb 44/ 3 D -5 ft 10 ft 30⁰ Remove roller at C in part (c)