Question

Assignment # 2 niath For the cantilever beam shown below, design for the dimensions and the deals flexural steel reinforcement if the Live load is qual to 8 kN/m and the Dead load is equal to beam own weight adding to 5 kN/m. And draw the stress-strain distribution. U T 3 m 300 mm Section A-A Given: f'c=28 MPa Cover= 40 mm 1,= 420 MPa d stir = 10 mm E,= 200000 MPa Yconcrete = 25 kN/m? B, = 0.85 0,=0.9 Ecu=0.003

Answer 1

I have provided a detailed design as per Limit State Method of design (see attached images)

Ultimate Date : Page no. 3=0.85 Girens ll= 8kN/m DL= 5kN/m -> Total lood W= 13kN/m Spom= 3m = Effective spom b. 300 mm fe' = 28mpa, fy: 420 mpa Es= 200000mia In oth Eau: 0.003 de covers 40mm ronc 25 kN/m² load = 8+5= 13 kN/m & Design load = factor of Safely x w Wu = 1.5x13= 19.5kN/m Astrup = 10mm Solid may 2 Now fon Cantilever beam with UOL, B.m & Wal² 19.583² 2 z 87.75 kim on 87.75 x 10 mm & Max Shean, V Wal = 19.5+3=58.SKN 58500 N

Ultimate Date : Page no. o Now for contilever beam -7. 40mm. A et Proin hans = d da 3000 7 7 let de 450 mm @ fined end and 150mm auf free and free Tomm & Ostriche aromom Cover Yomm. doverall Cover animals fith main * des @ fined and @fined and = USO-40-10-08 392m @fined and . & deff. W so Min depth read droid Mu I Ruxb.

Ultingale Date : Page no. Rua 0.36 I fex Aurora (1 - 042 0.42 Ruman fom Calc of Korene for Fre 900 Shed, we will Use inter holation, fou Te uis Humans = 0.48 7 Te 420 Tumas d Humas 0.46 fon resoo d or 7 ore 0.02 10.46 Ex 0.48 80 -> 85 420 YIS 0.02x80 85 os 0.018825 Fe 400- Aumay Lan 0.46+0.0/8885 0.4788 m 0.479. we Using

Ultimate Date : Page no. In = 0.36 (28) x 0.47951 - 42 * 0.479) 3.8569 * dreapta 87.75710 3.8569x 300 275.38 275mm << 392.mm hena (bxd This provide beam of size 300 x egg fined and A (300x156) o fue end Note: @hue end 150mm will " Bm end Cole of Ana of skal Mu = 0.87 T- bafuk 0.87*4 20x Ast x 392/1-420 Ast 392 {1- 4 Leno. ful 3008 392x28

Date : emate Page no 14322768 Ass ( 1 - 1126 16 ng Mu - 143236.8 Ay 18.27 Ast Mu. Uring valine of mu 87.75 X 100 on 143236.8A4 - 13:27 Ay 2 ou 18.27 Ast 143236.8 A5 + 87.75X10-0 we 2 и 670mm - solving this 해 e gf. Ay 669.85 mm check fon Min steel, Astmin 0.85bd 0.35 x 300 x 392 420 fy = 238mm < 670mm hence okay. 3.33 4 haus. No of bansa 670 Aly (1672 Ast proudod - 4x4 (132 4x Wg (16)3 803.8mm

Ultimate Date : Page no. 6 16mm mm 187 Tomm 450mm С Strus Strain -300 Xumax = 0.479 d 7 0.479292 Humay 3187.768 mm from top: