Question

300 lb 300 lb - 6 in.-- For the beam and loading shown, determine the range of the distance a for which the reaction at B does not exceed 100 lb downward or 200 lb upward. D С 50 lb Sin. 12 in 4 in

Answer 1

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SOLUTION Assume B is positive when directed f. 3001b 3old a torba 1504 Sketch showing distance from D to forces. landia-in-a-line 300* 3004 Teatros Llein-a) +)M= 0: (300 lb)(8 in. – a) – (300 lb)(a −2 in.) – (50 lb)(4 in.) +16B = 0 -600a + 2800 + 16B = 0 a= (1) a 2.00 in. (2800+16B) 600 For B = 100 161 =-100 lb, Eq. (1) yields: [2800+ 16(-100)] 1200 a> = 2 in. 600 600 For B= - 2001 = +200 lb, Eq. (1) yields: [2800+16(200)] _6000 = 10 in. 600 600 Required range: as as 10.00 in. 2.00 in. sas 10.00 in.