Practice Final Exam
12 Points) The cross-section below is subjected to a positive bending moment, M, about a orizontal axis. Determine the largest bending moment M that can be applied without exceeding ither of the following allowable stresses: \sigma _(all )= 5ksi,\sigma _(all )=-14ksi.
/bar (y)=((A_(1))/(b)ar (y)_(1) (A_(2))/(b)ar (y)_(2) (A_(3))/(b)ar (y)_(2))/(A_(1) A_(2) A_(3))=(2.25 1.5*1.5 1.25)/(2 1.5 1)()/(b)
ar (y)=0.667in
I=(4.5^(3))/(12) (0.5*3^(3))/(12) (2.05^(3))/(12)
I=1.1875in^(4)
\sigma =-(My)/(I)
14=(M*0.667)/(1.1875)
M=24.93 kipin