Project Brief

This project involves the structural analysis of a continuous beam subjected to specific boundary conditions and loads. The beam configuration includes:

$-$ Support A: Fixed support at $0$ meters

$-$ Support B: Pinned support at $5$ meters from $\backslash ($ A $\backslash )$

$-$ Support C: Roller support at $9$ meters from $\backslash ($ A $\backslash )$

You are required to analyze the beam by determining:

$1.$ The displacement at points $\backslash ($ B $\backslash )$ and $\backslash ($ C $\backslash ).$

$2.$ The reactions at the supports.

Material and Load Information:

$-$ Material: Steel, Structural ASTM A$36$

$-$ Young's Modulus $($E$)=200$ GPa

$-$ Moment of Inertia $($I$)=8\backslash (\backslash$times $10^\{6\}\backslash$mathrm$\{$~mm$\}^\{4\}\backslash )$

$-$ Applied Load $\backslash (=2\backslash$mathrm$\{$KN$\}\backslash )$ at $7$ meters from A

Methods of Analysis:

You are to apply the following two methods to perform the analysis:

$1.$ Matrix Structural Analysis $(50$ Marks$)$

$2.$ Finite Element Analysis $(50$ Marks$)$