Question

This Question Is Asking About the VERTICAL AXIS NOT THE HORIZONTAL AXIS. Please help, will give yah a thumbs up. <3 thanks

A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Taking h= 6 mm and using the data given below, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Brass Aluminum 30 mm 30 mm — Modulus of elasticity Allowable stress Aluminum 70 GPa 100 MPa Brass 105 GPa 160 MPa The largest permissible bending moment is 1240 Nm.

Answer 1

Brass to I Take aluminum as a referena material. 30mm hal = 1 Aluminum .hbf = 6mm Eb/ Eb/Ea 1-5 Bran - 30mm Find moment of inentia of the transformed Section - I, = hiz by the 3 = $ (6) (30)3 = 20-25 x109 mm* I3 = In I2 = 1 (30) (30)3 = 67500 mm .: I = I, + I2+I3 = (20-25x103)x2 +67500 = 108000 mm Now using the relation - EhMY > ME I hy Food aluminum . M - 100 x 10 x 108 x 103 2 1 x Orols = 720 N- For Bruns :- M = 160 X 10 x 108x109 15 x 0.015 = 768 N-m Therefore, the largent bermissible bending moment .. Mallow = 720 Nom Mallow = 72o N-m du