For Problems $1$ through $6$ refer to the simply supported beam and information given below:

W$10$x$77$ A$36$ Steel Beam: $F_B=22$ksi

$F_v=14\mathrm{.}5$ksi

$E=29,000$ksi

WIDE FLANGE SHAPES

Theoretical Dimensions and Properties for Designing

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$1.$ Use the equations of equillibrium to find the reactions at the pin and roller

$2.$ Draw clear, well labeled shear and moment diagrams for the beam shown

$3.$ What are the maximum bending and shear stress in the Beam?

$4.$ What is the maximum displacement under the given load?

$5.$ Draw the approximate deflected shape of the beam