Situation $3$: The beam shown will carry a dead

load of $15k\frac{N}{m}($includes beam weight$)$ and a

live load of $30k\frac{N}{m}.$ The main span is $6m$ and

the cantilever span is $2\mathrm{.}5m.$ The size of the

beam will be determined. Assume no deflection

limitation$,$ and without using compression steel.

Assume an effective concrete cover of $58mm.$

Important note: Apply live load in the locations

and distributions that will cause the most severe

effects; spans may be fully loaded, partially

loaded, or unloaded, as necessary to obtain

maximum effects. Use $f{c}^{\text{'}}=30$MPa and

fy $=420$MPa.

Calculate the maximum positive moment

$(kN-m)$ that can occur in the beam.

a$.206$

c$.270$

b$.10$

d$.56$

Calculate the maximum negative moment

$(kN-m)$ that can occur in the beam.

a$.206$

c$.270$

b$.10$

d$.56$

Using the table for the minimum thickness,

which of the following most nearly gives the

overall depth of the beam?

a$.350mm$

c$.325mm$

b$.400mm$

d$.300mm$

Using the depth in the previous number,

which of the following most nearly gives the

required width of the beam?

a$.275mm$

c$.425mm$

b$.625mm$

d$.200mm$