Using Finite Element Analysis, in ABAQUS software, solve the following problems and report the required information. Assume any relevant information while solving these problems and subsequently report them. Questions $1$ and $2$ carry equal weightage. The value of ID required to obtain your solution shall be derived from the table on pages $2$ and $3.$ This value is unique for each student.

$(1)$ Western Australia has many "minor" bridges spans varying from around $2m$ to $10m.$ The bridges are built with Jarrah stringers typically of $400mm$ diameter placed @ $1m$ centre to centre. Jarrah is an Australian hardwood with elastic constant $($E$)$ as $20$GPa and Poisson ratio $($v$)$ as $0\mathrm{.}32.$ This bridge desk is seven metres wide made of $100mm$ thick concrete. Consider a $5k\frac{N}{m^2}$ live load on the deck. Model the stringer with $1D$ beam elements and $3D$ solid elements. Determine the displacement at the midspan of any interior stringer of bridges of spans $l_1$ and $l_2.$ Use three different meshes and compare the results with the theoretical solution.

$l_1=(1+0\mathrm{.}02**ID)m$

$l_2=(5+0\mathrm{.}05**ID)m$

$(2)$ A long concrete gravity dam across a river holds water up to a level $\text{'}h\text{'}$ in its downstream. Plot the stress distribution on this dam cross$-$section due to water pressure using a simple $2-$D model. Consider $h=10+0\mathrm{.}05**IDm.$ Assume the dam is fixed to the ground and no seepage occurs under the dam section.