Question

Find the largest shear force that the structural member can sustain, given the cross section shown, if the yield shear stress is 16 ksi and the F.S. against yield is 2. ot T17 Х N.A. Given: Ix = 6.75 in^4 ly = 26.7 in^4 O 12.7 kip O 64.2 kip O 16.1 kip O 32.1 kip O 128.4 kip O 6.35 kip

Answer 1

Answer Maximum shear stress Tmax = ZNA Vmax. Aq & At neutral Ib (N.A) axis Zmax = Zy s Tyə Yield shear stress - Fos 16ksi Fost factor of safety - 2 Vmax maximum shear force As Area below to neutral aseis = 2x(1x 1.83)= 3.66 in 2 by Width of section at neutral axis → Y- coordinate of centoide of arca A = 1.83 -0.915 in 1+1= 2'' 2 I= Iyo Area moment of inertia about y-axis = 26.7iny Ə Zy Fos Umar Ay Tyb Vmax 16 x 3.66 * 0.915 11 2 26-7X 2!! Vmax = 127.56 kip Cargest shear force / Vimax a 128.4 kep Answer