$6-127.$ The low strength concrete floor slab is integrated with a wide$-$flange A$36$ steel beam using shear studs $($not shown$)$ to form the composite beam. If the allowable bending stress for the concrete is

$({}_{\text{c}\text{o}\text{n}}{)}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=10$MPa, and allowable bending stress for

steel is $({}_{st}{)}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=165$MPa, determine the maximum allowable internal moment $M$ that can be applied to the beam.

Prob. $6-127$