A beam of length 10m is symmetrically placed on two supports 7m apart. The loading is 15 kN/m between the supports and 20kN at each end. What is the central deflection of the beam? E = 210GN/mZ; I = 200 x 10-6m4.

 A beam of length 10m is symmetrically placed on two supports 7m apart. The loading is 15 kN/m between the supports and 20kN at each end. What is the central deflection of the beam? E = 210GN/mZ; I = 200 x 10-6m4.

solution

Here’s a solution (assuming simple support) obtained using free online structural solver Strian:

• bending moment diagram:

• shear force diagram:

• deflection:

The deflection at the center of the beam is 6.79 mm$6.79mm$.