BUILDING AND STRUCTURAL CONSTRUCTION N$6$ TEST $2$

QUESTION $1$

A simply supported reinforced concrete beam must be cast over a wide opening for a roll$-$up metal garage door. The effective span for the opening is $8$ metres. The overall dimensions is $480mm$ deep and $330mm$ wide and must support the following loads:

A uniformly distributed live load of $9k\frac{N}{m}$

A $55kN$ point load $3,5$ metres from the right$-$end support Use the following specifications:

Grade $25$ MPa concrete

High$-$yield tensile reinforcement

Density of the concrete $=2400k\frac{g}{m}3$

Do NOT insert any reinforcement.

Consider the self$-$weight of the reinforced concrete beam.

$1\mathrm{.}1$ Calculate the design loads for the given beam.

$1\mathrm{.}2$ Calculate the reactions RL and RR of the beam.

$1\mathrm{.}3$ Draw a neat sketch of the shear$-$force diagram.

$1\mathrm{.}4$ Calculate and draw a neat sketch of the bending$-$moment diagram.

$1\mathrm{.}5$ Calculate the value of $K$ to determine if compression reinforcement is required.

QUESTION $2$

A hollow circular steel column must be used to carry the eave section of a roof. The external cross$-$sectional diameter of the column is $110mm$ with a wall thickness of $5mm.$ The overall height of the column is $3,25$ metres.

Calculate the load that the column will support if it is effectively held in position at both ends, but not restrained against rotation.

$[15]$