Question One

$[14$ marks$]$

The diagram represents the cross$-$section $($not to scale$)$ of steel beam which is $6$ m long and simply supported at the ends. The beam carries a UDL of $10k\frac{N}{m}$ over its whole length and a central point load of $20$ kN $.$ Disregarding the self$-$weight of the beam.

a$)$ Calculate the support reactions

$(1$ mark$)$

b$)$ Draw the Shear Force Diagram

$(4$ marks$)$

c$)$ Draw the Bending Moment Diagram showing the value of the maximum bending moment. Show all calculations.

$(3$ marks$)$

d$)$ Calculate the maximum bending stress in the beam, in MPa $,$ stating where it occurs in the beam.

$(3$ marks$)$

e$)$ Calculate the maximum shear stress in the beam, in MPa $,$ stating where it occurs in the beam.

$(3$ marks$)$