Example calculation of a beam supported at both ends loaded with force F = 10 000 N / 1020 kg.
Calculations in the form of pdf file.
Assumptions:
- the beam is symmetrical about neutral axis
- shear stress calculated as average
E – elastic modulus, Young’s modulus
J – moment of inertia of section
S – section surface area
EJ – beam’s stiffness subject to bending
σg – normal stresses located in points farthest away from neutral axis
τ – average shear stresses in points located on neutral axis
kr – allowable stress for tension/compression = kg
Re – yield strength
x – factor of safety