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422_Mechanics Homework Mechanics of Materials Solution

# 422_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.160 A rigid plate of lZS-mm diameter is attached to a solid 150 X ZOO-mm PROBLEM 4.161 rectangular post, with the center of the plate directly above the center of the post. Ifa 4-kN force P is applied at E with 3= 30°, determine (a) the stress at point A, (b) the stress at point B, (c) the point where the neutral axis intersects line ABD. 4.161 In Prob. 4.160, determine (a) the value of Bfor which the stress at D reaches its largest value, (b) the corresponding values of the ﬁrms at A, B, C, and D. SOLUTION ’P: leloa N PR = (LinoSJMSxID’EF goo AM Mr 2 -129 5;h ehsoOstn 5 Mi: -PQCDS 97' *SOOCASQ Ix = ,Ja-(zoojos'or‘ r Ema/3%" = 55.25xio“ m" I00 Ho‘smmlf f 100 NO”; m“i 25: -—75mm A = (200K150) = 30 H03 Ins-«11. = 30 x/o's m1 .__2 M2_ MIX __’ .L..Bz_5iﬂ+£>_<_29.§_9 6 ‘ A F i. + Iz "h Pi-A 1w I2 For 6 'l'b Le a. maximuw‘. 3% = O U\'-\'ln 2-: Zr,J )(= X» J6; .- - 5 * Q'ZbCDSQ + RX» 5L" 6-} 2' 0 d9 I P 0 IX I1 §fn9 —. + e = __ I22}, ___~ [tooxlo“)§—2leo'3) : “EL case M " Lg. ‘ (56.25uto")aooxm’) 3 sin 9": 0.8 case = 0.6) 9 = SBJ ° All .2 lo) 6 .. __ E __ L453 MIX; _ _ tmo‘ + (500K0‘3X75xlo‘3) ﬁ(500)(0.6)étoowo"} ( 5' A In + L. — 30%)" 54.29104 moxie“a = (- 0,132.33 + 0.53333 + o.3oo)>uo C F‘q = DJooxlo‘ Pa = 700 kPat‘ 681(‘0. l3333 + 0.53333 — O.30<>)>I[0L Pq, '-’ Oslooirlo‘ Pct? IbQQPQ-ﬁ 6c: (-0.:sz +o whio‘Pq = - r333 we. 4 6‘0:- (- 0.13332 - 0.52333 — aeooﬁto‘Pa, e -o.%7x10‘ Pa. = «sake-ﬂ ...
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