Given: The beam shown. $w_0=5\frac{k}{f}t,Mo=21k-ft,$ and $L=$

$12$ ft $.$

Determine the equation of the distributed load.

$w(x)=$

Solve for the value of constant of integration $C_1.$

$C_1=$

Solve for the value of constant of integration $C_2.$

$C_2=$

Solve for the value of constant of integration $C_3.$

$C_3=$

Solve for the value of constant of integration $C_4.$

$C_4=$

Calculate the equation of the internal shear force.

$V(x)=$

Calculate the equation of the internal bending moment.

$M(x)=$

Calculate the equation of the slope of the deflected

shape.

$y^{\text{'}}(x)=\frac{1}{EI}$

Calculate the equation of the deflected shape.

$y(x)=\frac{1}{EI}$