A cantilever is a structural element that is supported at only one end, with the other end projecting freely into space. This type of structure is commonly used in various engineering applications, including bridges, buildings, and mechanical devices. Cantilevers are valued for their ability to provide extended reach or overhang without the need for additional support structures, making them versatile and efficient in many engineering applications. However, proper design and analysis are crucial to ensure the safety and reliability of cantilevered structures.

You are required to optimize the weight of the cantilever to make it as light as possible by varying the height and width of the beam but with the condition that

$$

${}_{\text{m}\text{a}\text{x}}{}_{\text{d}\text{e}\text{s}\text{i}\text{g}\text{n}}$

$P=500N$

d

Factor of Safety $=2_{\text{m}\text{a}\text{x}}{}_{\text{d}\text{e}\text{s}\text{i}\text{g}\text{n}}$

Factor of Safety $=2$

You are required to:

Draw the Shear Force and Bending Moment diagrams

Perform the appropriate calculations

Use excel to optimize the weight of the beam by varying the dimensions of the cross section

Expected Outputs:

Labeled diagrams of Shear Force and Bending Moments

Calculations which have been properly formatted with the appropriate formulae

An excel spreadsheet with the optimization of the cantilever

An explanation of the optimization results

Group $1-$ Steel