Question

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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. 1. X Given: Ix = 6.75 in^4 ly = 26.7 in 4 16.1 kip 32.1 kip 128.4 kip 12.7 kip 06.35 kip 64.2 kip

Answer 1

Griven data- I.--" Yield shear stress, Tys = 16 ksi NA + * 37 Fos Factor of safety, Ix = 6.75 en 4 Jy = 26:7 in 4 Solution: The Shear fore applied on => let y be the mazimum Cross section; act => For sate design the Shear forre CV acting Moment of Chertia y-axis hence the cent roid along X-X axis CNA and about ů PACKEL RAUD abo minimum -> The Flex tural Shear Shress o tun DITIN -NA beam member ý given by v Ağ TE I. b => First Moment Of Inertia, Q = Ay Q = Any + A2 Y2 + A343 Aly,+ 2 (A242) ( A242= A343) = [(5x1)(017++)) + 2 [Conxi) count) 3.37 in 3 =) width of the section, b b= 1+1 b. 2 in

ghear Stress Theory, maximum =) According to Tys tmax Fos 16 VX3.37 2 6.75 x 2 V = 32.04 kip =) Result Largest shear fore, V= 32.04 kip Answer: correct option b) 32. 1 kip.