Bending Beam

SECTION 2 EXPERIMENTS

Bending Moment Variation at the point of loading

Experimental Results

Mass (g) Load (N) Force (N) Experimental

Bending

Moment (Nm) Theoretical

Bending

Moment

(Nm)

0 0 0 0 0

100 0.9800 0.6000 0.0750 0.3118

200 1.9600 1.5000 0.1875 0.6236

300 2.9400 2.4000 0.1875 0.9355

400 3.9200 3.1000 0.3875 1.2473

500 4.9000 3.7000 0.4625 1.5591

Theoretical Method To Calculate Bending Moment At The Cut

To determine an expression for Bending Moment at the cut of the beam is calculated using the following diagram.

RA-Rolling Pivot

RB-Rolling Pivot

W-Weight of the Loading

a-Distance between the left hand side pivot and the cut of the beam

l-Distance between both the pivot

The theoretical moment at the cut will be found using the following Equation.

Bending Moment at the Cut=Wa(l-a)/l

Wa- Weight of the loading in Newtons (N)

l-440mm

a-300mm

When the mass of the load is 100g,

BM at the cut=0.98((0.44-0.30)/0.44)Nm=0.3118 Nm

When the mass of the load is 200g,

BM at the cut=1.96((0.44-0.30)/0.44)=0.6236 Nm

When the mass of the load is 300g,

BM at the cut=2.94((0.44-0.30)/0.44)=0.9355 Nm

When the mass of the load is 400g,

BM at the cut=3.92((0.44-0.30)/0.44)=1.2473 Nm

When the mass of the load is 500g,

BM at the cut=4.90((0.44-0.30)/0.44)=1.5591 Nm

Experimental Method to calculate Bending Moment at the Cut

The experimental Moment at the cut will be found using the following Expression,

BM at the Cut=Displayed Foce×0.125 Nm

When the mass of the load is 100g,

BM at the cut=0.60×0.125 Nm=0.075Nm

When the mass of the load is 200g,

BM at the cut=1.50×0.125 Nm=0.1875 Nm

When