162 Mechanics of Materials §7.4 b/2 22 NA Fig.7.8. now be obtained from egn.(7.11): QAy It with _d_=d-t) 9=22 A=t dz t=t b12 Thus 1- e d-k,dk=号d-ag The distribution is therefore linear from zero at the free ends of the flange to a maximum value of Qb (dt)at the centre (7.12) 7.4.Application to circular sections In this case it is convenient to use the alternative form of eqn.(7.2),namely (7.1), dM tbdx bydy bydy Consider now the element of thickness dz and breadth b shown in Fig.7.9.162 Mechanics of Materials 97.4 N.A. -- I Fig. 7.8. now be obtained from eqn. (7.11): with Thus A = t,dz t = t, bl2 +(d - tl)tldz = - Q (d - tl) [z]:” 21 0 The distribution is therefore linear from zero at the free ends of the flange to a maximum value of (7.12) Qb rmax = - (d - tt) at the centre 41 7.4. Application to circular sections In this case it is convenient to use the alternative form of eqn. (7.2), namely (7.1), Consider now the element of thickness dz and breadth b shown in Fig. 7.9