Statically Determinate Beam Deflection using the Method of Inteqration

Q$1.$ Using the Method of Integration, as well as the indicated

$x_1$ and $x_2$ coordinates, determine the following for the $100$

mm diameter solid circular shaft:

$($i$)$ Equations of the elastic curve for the bar

$($ii$)$ The location where the maximum deflection occurs in

section $AB$

$($iii$)$ The maximum deflection in the entire rod

The shaft is made of steel having a modulus elasticity of $E=$

$200$ GPa $.$

$($Assume that the shaft bearings behave like pin supports.$)$