Consider a 13-meter steel cantilever beam (a beam
attached to a wall that doesn't allow for any deflection on that side),
anchored on the right, has a downward load of 100 Newtons applied to it
7 meters from the left end. How far down will the left end of the beam
bend?

The first step is to determine the value of Young's Modulus to be used;
since the beam is made of steel, we go with the given steel value:
206,850 MPa, which is 206,850,000,000 Pa (remember, since everything
else is in metric and using N/m/s, we use single Pascals).

Next, determine the moment of inertia for the beam; this usually is a value given in most textbook problems, or if it needs to be calculated, a listing of formulas for determining moment of inertias for many common geometries is provided here. *Note: this application uses the Area Moments of Inertia, which are listed first.

For this example, we're just going to say that the beam is square and has a crossection side length of 0.5m. So...

This is a good time to choose the loading case, so looking over the
list, it looks like loading case #13 is our best bet; its beam is
cantilevered on one end, and it has the single point load that is not a
set distance from either end.

After checking the load-case button, enter in the rest of the values as they are given: a point load equal to 100 Newtons, total beam length is 13 meters, no applied moments or distributed loads, partial length "a" is 7 meteres, partial length "b" is the remaining 6 meters, and voila! ready to see just how far this beam gets bent. Click on the "Submit For Calculation" button to see the results.

Next, determine the moment of inertia for the beam; this usually is a value given in most textbook problems, or if it needs to be calculated, a listing of formulas for determining moment of inertias for many common geometries is provided here. *Note: this application uses the Area Moments of Inertia, which are listed first.

For this example, we're just going to say that the beam is square and has a crossection side length of 0.5m. So...

After checking the load-case button, enter in the rest of the values as they are given: a point load equal to 100 Newtons, total beam length is 13 meters, no applied moments or distributed loads, partial length "a" is 7 meteres, partial length "b" is the remaining 6 meters, and voila! ready to see just how far this beam gets bent. Click on the "Submit For Calculation" button to see the results.

Material Properties