You are working as a test engineer in an electromechanical production facility.

Knowledge and application of mechanical and electromagnetic principles is essential

in understanding the relevance of theory to the production and use of the

components. Some of which are sourced from other suppliers and some are

manufactured in$-$house such as the electric circuit components.

Your line manager has assigned you the below tasks to establish a basic

understanding of the underlying principles and help contribute to the company's

future release of the training manual.

Your individual value for certain parameters can be found in the relevant table of

values in this assignment brief document.

Assignment activity and guidance

Part $1$: $,$

A$.$ The beam shown below is to be simply supported during storage. Sand has been evenly

spread over a portion of the beam as a Uniformly Distributed Load $($UDL$)$ as shown

below from A to C$.$ Another two concentrated loads at points B and D have been applied

to fix it in place. Ignoring the mass of the beam, determine the support reactions $R_A$ and

Rc$.$

Assume;

The same length beam with a section that is a solid square of side $10cm$ and density

$8$times that of water $($taking density of water as approx. $1000k\frac{g}{m^3}).$ If the beam is

to be used in an offshore rig construction $($being completely submerged in water$),$

calculate the upthrust force.

During the rig construction the beam is to be unloaded from a truck using a crane

and cable from which the beam will be hanging while fully submerged in water.

Calculate the tension on the cable while the beam is fully submerged and partly

submerged $($half of its length is in the water$).$

In another application the beam has been used to support a housing for a heat

engine, where some waste heat is transferred through the beam length $($resulting in

a temperature change from $22$ to $78).$ Calculate the change in length and

volume of the beam if the coefficient of linear thermal expansion of steel is ${}_{\text{S}\text{t}\text{e}\text{e}\text{l}}=$

$12\frac{{10}^{-6}}{d}$egC.

If the beam is to be laid on the ground along its length and pulled along the ground,

with the crane cable making an angle of $45$ with the horizontal plane, at

acceleration of $3\frac{m}{s^2}$ while a friction force equal to a third of its weight is acting,

construct a free body diagram showing all the forces and the correct directions and

determine the force on the cable required to move the beam.