Question

The overhanging beam in Figure 1a has the T-shaped cross section shown in Figure 1b. Determine the values and locations of the maximum tensile and compressive bending stresses. 20 kN 20 kN/m 45° 7 3 m Figure 1a 200 mm I 20 mm 200 mm 20 mm Figure 1b

Answer 1

20 KN Ano 20 kN/m 450 5 m Efazo, Ex-20=0, Exo kon ka E Mat E=0 By x 9 - 2048 X 10 - 20 - X2=0 re By= 18092 KN {fy=0, 180.92 + Ey - 2018 - 20/2=0, Ey=-6.778 kn Bending moment diagram - 13.94 - 97.24 - 250 kom Moment Mmax =250 KN m n at support is maximum Benang A9) +, , Astaz 200 mm 20 mm TL ☺ + + --- N-A 200 mm 200x20x210 + 2004 20x100 [200x20 x2] J = 155 mm Brom bottom hogi 20 mm

Moment of Enestia about Neutral asis Ixls tx 200*x 20+ 200x20 XC 155-10072 +x26x200 + 200x20x(220-15512 In = 3766.667x104 mm 4 a omax (T) Monumum suppost-B Tensile aceer at and top of section MMOXYT omox (T) = It=65mm In T. 155 omex (T) 250X106x65 3766.667x104 Momex 200 mm - Yc omax (T) = 4 31.415 MPa Отву С) Ib Manemtem compressive stress occur cet support B at bottom of section M max Yc e 250x106x155 3766.67X104 omax(0) = IX omax (c) = 1028.76 MPa