In case of simply supported beam, bending moment will be zero at supports. And it will be maximum where shear force is zero. Bending moment at point B = M(B) = R1 x Distance of R1 from point B.

Calculate BM: M = Fr (Perpendicular to the force) Bending moment is a torque applied to each side of the beam if it was cut in two – anywhere along its length.

Example – Continuous Beam with Distributed Load

1. = 375 N.
2. = 0.38 kN. The reaction force in the center support can be calculated as.
3. = 1250 N.
4. = 1.25 kN. The beam moments at the middle of spans with span length 1m can be calculated as.
5. = 70 Nm. The beam moment at the center support can be calculated as.
6. = 125 Nm.
7. = 313 N.
8. = 0.31 kN.

The bending equation stands as σ/y = E/R = M/T.

This concept is important in structural engineering as it is can be used to calculate where, and how much bending may occur when forces are applied. The most common structural element that is subject to bending moments is the beam, which may bend when loaded at any point along its length.

Starting at x = 0 we will move across the beam and calculate the bending moment at each point.

1. Cut 1. Make a “cut” just after the first reaction of the beam.
2. Cut 2. This cut is made just before the second force along the beam.
3. Cut 3. This cut is made just after the second force along the beam.
4. Cut 4.

zero
wkt, for a simply supported beam, bending moment is zero at the two ends.

Explanation: The maximum bending moment occurs in a beam, when the shear force at that section is zero or changes the sign because at point of contra flexure the bending moment is zero. Such bending moment is called a sagging bending moment or positive bending moment.

The beam is supported at each end, and the load is distributed along its length. A simply supported beam cannot have any translational displacements at its support points, but no restriction is placed on rotations at the supports.

A simply supported beam is the most simple arrangement of the structure. The beam is supported at each end, and the load is distributed along its length. A simply supported beam cannot have any translational displacements at its support points, but no restriction is placed on rotations at the supports.

In all cases, the cross section moment of inertia around the elastic neutral axis. Also, take in mind that a positive sign of the maximum deflection means a downward direction.

The second assumption is practically valid for beams with homogeneous and isotropic material, with symmetrical cross-section, and with length significantly larger than their cross section dimensions (10 times or more is a common rule of thumb).