Task $3$: TOPIC $3$: ELASTIC BUCKLING OF COLUMN

i$.$ Application of engineering fundamental in determining critical buckling load and stress of column by using available modern tool with ONE Case Study B in Table $4$ using respective effective length for different end conditions in Table $5.($The idealized model should clearly illustrate the slender column, considering relevant aspects such as column dimensions and loadings$).$

ii$.$ Verification of the allowable centric load for the column and the corresponding normal stress from the understanding the behavior of columns and concept of critical load and buckling. To ensure the reliability and accuracy of the stress and buckling analysis, it is required to compare the results obtained from the chosen analysis method in Task $3($i$)$ with those obtained using reliable modern tools available in the field. Utilizing tools such as StaadPro, Lusas, or other reputable online analysis platforms can provide additional validation and verification of the obtained results $($WP$1,$ WK$1,$ WK$2,$ WK$3,$ WP$3).$ It is crucial for students to be prepared to encounter infrequently encountered issues during the analysis process. These issues may arise due to complex geometries, nonlinear material behavior, or other factors. Students should actively identify such issues and explain the appropriate solutions to address them $($WP$4).$ This demonstrates their ability to troubleshoot and apply problem$-$solving skills in real$-$world structural analysis scenarios.

Table $4$: Case Study B $($Choose any one case for different End Conditions$)$

$\backslash$table$[[$Case Study,End Conditions $($Refer Table $3)],[$B$1,$C$1$ & C$3],[$B$2,$C$2$ & C$4],[$B$3,$C$2$ & C$3],[$B$4,$C$2$ & C$4]]$

Table $5$: Effective Length for different End Conditions

$\backslash$table$[[\backslash$table$[[$End$],[$Condition$]],$Description,$L_{\text{e}\text{f}\text{f}\text{e}\text{c}\text{t}\text{i}\text{v}\text{e}}$