Question

3. For the beam shown in the figure:

a) find the equations: for the load W, shear force and bending moment of the beam shown.

b) draw the shear force and bending moment diagrams.

c) find the maximum moment for the beam.

291 kips WC kips/ tt ID B 36 kips/ ft 8 ft 24 ft 8 ft

Answer 1

We kipslot 29lkips + A Rc RB 36 kips/bt eft 2467 864 de t x 24) + 291 (1 wex {fy=0; Rg + Re +(6x36x8) 12 hic et 147 -) RB + Rc = = 1926e-5376 EMA = o ; Rox! + Rex 82 + (£x364 ) * (32+ 278 )* + b wex 2y) (8+ ?) n 147X32 2 120 cх32 RB X 8 + (12Wc + 147-RB) x 32 RB (8-32) = 1920 - 5376 -)

7 Rg (420 +80c) RE= (40e - 273) kips For portion AB = -291 leim (AL) ex - 291 ye (A) = (AL) (SP) = (SF) 291 kim f - -291 lein (Strx - 291 2arne lam-67 (B Max At A, x=0; (BM) At B, x = 887; (BM) a = - 291x8 = -2328 leim- of Wh We portion Be 24 Iwe Wc x ne-16 x We 24 We = 24 - u We-wa) (32-(6-8) (no-x) wc [!- You] 1x (We-Wx) x (x - 8) - Wxx / x W cx (x+16) x (x-8) - We (60-x) xfag) 24 (A2) - 291 + (420towe) 24 129 & sac 24 129 & snc -o- AT (AC) CALC we (nous)x$0) = 129-25The When I Nex (32-16) * (32-8) - Wex 140-32) x 24 129+ sw. - 192 - 129 -berzwe 291 (SP) xf 2 (3M). + (420 + swa) - 1 (W. - Ws) (8-8) - Wex &x-8) 129 the 192 (SF) c = 129 - 1&bst we 2918 at (8Wc + 273) (x-8) - 1 1W, Wx) (x-8). .-8) x 2 (0-8) (W x x Xn-s) (x-8) _2918 + (SWc +420) 70 40-0= -2328 lips-07 f (SWc +420), au tx 76 xW,+ 2 x (24) 2 (BM) Bmc = 2918 32 We x 8 x + 2 (242 320c -768

As please note, As the fer portion LD 8 x-32 - رکن 26 (2-32) -- 36 2 Wre (ALA (4Wc-273) L x W x (x-32) - 291 + (420+ Swe) 1 x W x 24 + & Cyw,-271) 8) 291 + (4208 sw.) - 1 WeXry to = 129 Weiny -291 + (420 + 80 c) - 12W, & UW .-273 + 2 x 36 x 8 x 8 = (AL). (41), = - Ayyt of (uw, & 273) + / Whex (X-32) (SF) xX + (420 +8Wc) - 14W X24 -MYY (SP) = (SF) (BM) ex + - 29 me at (420 + swa) x (x-8) # 1 W cxrux (x - 2) + (4w, ~273) x (X-32) 1 w xx (x~32) x (x-32) - 2880 to to (BM) c - - 298 x 32 & curtswc) x ry 768 -96 Wc - 1 x 24 x 92 + Chwe-273) x 8 COMO & (u2o f SW c) x 32 <2918uo & lx 36 x 8 x 82 - - 96W we [14o-n) + (x-8)x(-1)] zu for be dy In 0+0 - heute [ (2-16)+(x-8] tw screro di SFxx >o dx fr 20nc24 dy an WC 24 day dur d (BM) - We [i [ar] >o fw 8L n. cm e-29+ (owe ture) - center at [02-83'+ (x+6)2 (a-on] We Low-53" (40-) 261-53] مرل علما is not ponown it is much difficult to identity whether it fign overall cisa is the orahe, Here, it is remy difficult to draw SI & BM diay ron,