Experiment $2$: Deflection of a Simply Supported Beam

In this experiment, we will examine the deflection of a

simply supported beam subjected to an increasing point

load. We will also vary the beam length by changing the

distance between the supports. This means we can find

out the relationship between the deflection and the

length of the beam.

As well as the information given on the backboard

you will need the following formula:

Maximum deflection $=\frac{W{L}^3}{48EI},w=$ mass

$L=400$

where:

$W=$Load$(N)$;

$L=$ Distance from support to support $($m$)$;

$E=$ Young's modulus for cantilever material $(N{m}^{-2})$;

$I=$ Second moment of area of the cantilever $(m^4).$

Part $1$

Using a vernier gauge, measure the width and depth of

the aluminium test beam. Record the values next to the

results table and use them to calculate the second

moment of area, I.

Remove any clamps from the backboard. Setting

length between supports $l$ to $400mm,$ set up the beam

Work out the theoretical deflection shown on table $4$