Given data:
Circular cross section:
wt = w+ weight of beam.
unit weight of beam = 5.6 kN/m3.
Determining propped reaction Using consistence deformation method:
assuming reaction at B is redundant.
Deflection at B.
Redundant beam:
Deflection at B.
Compatibility equations:
Determining total load on the beam:
Beam with loading:
Maximum shear and bending moment:
Zero shear location:
Maximum positive moment:
Overall maximum shear force and bending moment:
occur at support.
Moment of inertia for circular section:
Maximum bending stress:
Bending equation:
Maximum shear stress: