A rigid beam, length 1.2 m, sits horizontally atop two vertical supports at either end as shown. On the left side is a cylinder with radius 20 mm, while the right side is supported by a rectangular prism which has a constant thickness of 30 mm but a width which varies from 60 mm at the ground to 30 mm at the top. Each support is 450mm in length. If a load of F=180 kN is applied and the beam stays horizontal after being loaded, determine the location x at which this force is applied. In your calculations, use Ecylinder= 250 GPa; Eprism = 340 GPa. For simplification, you can model the supports as point forces acting at the ends of the beam. Ignore the mass of the beam.
Problem 3 [2]
A rigid beam, length 1.2 m , sits horizontally atop
two vertical supports at either end as shown. On
the left side is a cylinder with radius 20 mm ,
while the right side is supported by a rectangular
prism which has a constant thickness of 30 mm
but a width which varies from 60 mm at the
ground to 30 mm at the top. Each support is 450
mm in length. If a load of F=180kN is applied and
the beam stays horizontal after being loaded,
determine the location x at which this force is
applied. In your calculations, use E_(cylinder )=250GPa;E_(prism )=340GPa. For simplification, you can
model the supports as point forces acting at the ends of the beam. Ignore the mass of the
beam.