Question

3. For the overhanging beam and loading shown below; A. Draw the shear and bend-moment diagrams B. Calculate the maximum normal stress due to bending. (15pts) 20KN 54KN B А D 30cm С 3.5m 4m -2.5m 10cm

Answer 1

Please provide your feedback to improve the solution quality and style

POL 5YuN 200N А C ok 2.5m 3.5m RB = 20454 - To find RB and E fyzo RB + Rp =) RB+ Rp = 7 You Eqreating Home fout D Zo zo =) - 2 oxlo + RAXES - 54x2.5=0 - RB = 51.54 KN Fern , RD=74-51.54 = Rp = 22.46 kW Fox Slear for at Critical front ② Morning from right, to left t le know the Sign- Convention on 7

Pg 2 bro= - Rp 2 -22.46 AN Wat just right of G Ve = -22.4CUN - Vet = -22.40 + 54 = 31.54 UN Vp = Vot = 31.57 UN Upt = Vot - RB = -20 UN VA=2our For Bending Moment at Critical Points and open In span CD Maa Box s 22.46x whom 2 ipon BC Mr. Ro (2.5+x) - 84 22 Ybr 31.54 & 6.15-31.57a. en بدر کے در کی ملا = پرواز tron - Mx = 70-200 kr (-70 +200) non, Mag=0 4 MRC = 22.46x 25 = 56.15 uren MB - 70 krom.

199-3 AM Shore forme Diagram and | down Berling Manent Piagran BD ! 15 yer с Ś A 31.54 UN (V) (-) 20KN 122.464 36.15 urm To knom To find the distance m, Mxco in Be 5615-3).54 no s/n = 1.78 m m= 4-4 = 2.22 m

IP-4] (B for Manormal Strani- ma dzo cm = 300 mm 1 b=10cm =100mm live know, Bending Normal stress, (Vo) - My Thue moule mam beraling will be at the moment M is maxi mun. will be at 2,mung Fan Bine, it å lew). Jour-m (Hogging) (Vb)-_70x10 max. 108 3008 2X (300) 126 (1 hot and y el for .: 46.67 N/mm (To) mas 46.67 MPa - This stress will be tensile at top compressive at botten due to Logging moment.