This is a cantilever beam calculator. Determine the beam deflection and the bending stress.
The calculated angle α ist to be understood as the angle of the beam at the point of maximum deflection. The angle at the fixed restraint is always zero.
Let’s calculate the deflection of a platform, which is supported equally by two beams. The load on the platform is 35 kN, the platform has a depth of 1,5 m. The line load for one beam results from the half platform load on the 1,5 m length. This means q = 11,667 N/m. The beam is made of steel with an Young’s modulus of 210 GPa. The beams have been chosen to be HE 180 M with a area moment of inertia of Iy = 7483 cm4 and a section modulus of Wb = 748,3 cm3.
The cantilever beam deflection calculator returns the following values: the maximum deflection is 0.47 mm and the maximum bending tension is Mb = -17.54 N/mm2. The beams seem to be oversized!