# HW 1 - ‘.a_sj.sme.r Me w“ W(a Draw the free body...

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Unformatted text preview: ‘._._...:,..a.__.,....._.___._sj.sme.__....r.._.._ Me, w“ W (a) Draw the free body diagram of the bar. (b) Determine the reactions at the built-in support at A. SOLUTION: (a) The free body diagram of the bar } i 200 lb 600 €t-Lb * .h; i 120 I ' l i g 1 ”O, i . I I i 4 In: E r-. l 175314 I I x “—3 I 5 Ft—-I (b) Determine the reactions at the built-in support, A. Because two unknown force components exist at point A. the solution is simplified by ﬁrst summing moments there. = O = - 600 ft-Ib - (200 |b)(cos 30°)(4 ft) 4- (120 |b)(sin 30°)(5 ft) - MA ANS MA = 167.2 ft—tb clockwise Summing forces in the x- and y-directions: 2F, = 0 = (200 ib)(cos 30°) - A, ANS Ax = 173.2 lb <— zF, = 0 = (200 lb)(sin 30°) - 120 lb + A, ANS Ay = 20 lb T PROBLEM 1-3.4 In Problem 1.3.3, suppose that you want to change the 5-ft dimension so that the couple exerted on the beam by the built-in support is zero. What is the required dimension? SOLUTION: i'. Free body diagram: j 200 Lb 600 F‘t-lo a 3/ \ i r I I Wﬂgr i i l 3 0 u "i -‘ : Fae \' I I I 'i f‘ 1 ; K Summing moments about point B in order to determine the distance, d: 2MB" — o- — - 600 ft—lb + (100 lb) (8 it) + (200 lb) (sin 30°) (d)- (200 lb) (4 n) (cos 30°) ANS d= 3.33ft -A...».-.._..-.‘.-....-..Lm w ...
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