Question

4. Determine expressions for the shear and bending moment for the entire beam in terms of w, a, and b. If necessary, be sure to indicate the regions for which the equations apply. AI CBO feb/2–4–/2 a-

Answer 1

BM= -0x3 Kaah) + 30-4) +- co (an+b) [952 ] (x-6+) 2

ZTI Ha en ARB P4 г в k a - 012-34 blzge any Total down ward load due to this uniformly Varrying Load of Intensity w will be - Areq under the Logeling = I x wx (a + b + a) = 1 W (2a +b and it will act at the centroid of big which is . (2a+b? from Extreme Right Reactions Calculation - Let RA ļ Rg are verticere Reaction or A PB So from Equillibrium RATRB = Wy (2a+b) also {moment at A=0 3 Rgx b - * (34+b) { ev +57 – (pats?] =0 Peg TV = (2016) [ 9-21] RB xb = -267 11wir zat bag [ en ] ]

» o RAZ W (2atb) - RB MAS - (20+5) 1953] + eur (2015) R= Sy (2945) 1-935] Men y us ( ) 5b-a 3b Now, S.F. & Bending Moment 1 Tro TRB ra) ha Taking a section or at distance & from extreme reft - {Osuszath} , the corresponeling loading intensity Wx from similiar Triangle wx = 29th WX 29+b - vit + 1

SHEAR FORCE and BEN DIN GY mom ENT RON 03459 SE = -*xxx WH SE :-*x wy2 (path) † 74 GE2 Bending moment = -12x W72 x 7 = - W73 (2945) 6(2a+b) a < x <a+b SF = - W72 + RA (2945) 9 SFE -. Wx2 (2015) + W(29+h) 2 55-09 - 397 35 ] 1 Put Value of a [ RA BME +R968-a) Jen generating are quina ( ) Cars ] atbL H <2a+b Spa - W7? - 2 (2016) HRA HRR --W?" + 2 (2945) W 2(2440) BM = - Wy2 2620153 3 + R$(V-a) +RB (X=(b) )