Question

ENSC 2113: Bonus Homework SKETCHES AND CALCULATIONS MUST BE SHOWN SUPPORTING THE CORRECT ANSWER TO RECEIVE CREDIT. ASSIGNMENT IS WORTH A POSSIBLE 40 POINTS. Determine the maximum average shear stress, the maximum compressive and tensile bending stresses, and the maximum axial stress in the member shown due to the applied loadings. The supports are a hinge at A, and a roller at B. 5k 75KFT 15k - 2K/FT TOK 12" OB B!:D" 2 2 LOADED STRUCTURAL MEMBER SECTION

Answer 1

Sk 2K|F SK TOR 15K11 R A Roy 8 8.cokh e -0 - E B E [RB 3: Efx :o 13.CCK Rax lolos 60 14.36 K E Rex = SK 4-1-685k! 1-6-685! Efy -92-685 + 10 binto ISED A E B Ray +Po = 50.66k - ve ZMA=0 ALD 17:46 32x8 + 5x8 + 5x19 25 52x + 10 subox2 2 = RB X 16/75 RB 36.345k, A- FE Ray 14.315k BMD Ray +RB216 +5+5! Isk A 2 49024 1954 Booh B

SF9 Ray -32-5 martRB - 5 Ray -37 + RB - 5 = -6.685 VCB) sight 13.66K Vx) Veo VCA) = 14.315 VE) Ray-21 VB) left = Rig 37 - - 22.6854 Ray - 37+ RB - Vce) Roty 37 + R2-5 = 8.668. VCD) Ray - 37 + RB-5 = 8.666 ALD Hex) = RAx NA - ME - MB = Me = M = 5k BMD Mx - Rayx 4x +78326-8)-5(x-8)+ crochet Rp(x-16)-5(x-19) Mes) = 75 kft At x = 7.1575 ft sheas force is no point F MEED 14.315 4.1575+ 45 177.46k/ MCB) Mcc) ME) = 14.315x8+75 - 2x8x4 - 12552xfh. 14:315 x16 +75 - 2X1648-5X8 &047 - 14.315x19+75 - 2x16x1l-6*1+ 3x3 - 49.02est 14.315x22 t 75-2x16x145x14 + RB X 6 - 5x3 - 75kft M (D)

22.888 K Max Bf - max Max AF Imax I- SK Max B.M= TMmon) 177.46 kft 5:42 6.ssa YAT, AT + Aztz. A+Ag + A3 J = (6x1x0.5) + (10x0.5 x 6). +(8x1x11.5) (6) + (5)+(&) 6.58 in Pxx = (bid, 3 + 4 hi 2) + (bez dze tha) + (63ds + Azhz) 641 6x66-68-0-53*)+(0 (lox0.5x (6-6.587). Popeye -222-2984 +43-3487 + 194-3179 459.96 5 ch + 3 Dxx - ( + + 122 + 8x13 +346 34 12 a) Max Sheer stress is at M.A T=VQ - ENY - (4:42% 4:42X 0:5 x 9-31+8x1x 4-92)

Date:... 44.24 ch3 Tmax. --22.6850 44.24 459.965 x 0.5 .4.36k 4.36 14h2 I bmox = Mmax Bending is sogging type so top tof post is Compression & bottom will belih tension Tbeomp 77.46612x5-42 = 25:09 459-965 cha Jb Tens 197.46% 12x6:56 459.965 30.46K che Max Axial stress at NA M 5 Toxool AK che MAX
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