Shear And Bending.docx

Shear force : Algebraic sum of vertical forces at any sections of a beam to the right or left of the section is known as shear force . Bending moment : Algebraic sum of moments of the forces to the right or left of the section is known as shear force

Cantilever beam : Sl no 1.cantilever

Beam figure

Definition A beam which is fixed at one end and free at the other end

2. simply supported

A beam supported or resting freely on the supports at its both ends

3. overhanging

If the end portion of a beam is extended beyond the support

4. fixed beam/ build in

A beam whose both ends are fixed

5. continuous

A beam which is provided more than two support

Sl no load 1.concentrated/point load

Definition A concentrated load(W) is one which is considered to act to a point

2. uniformly distributed load(udl)

Udl is one which is spread over a beam in such a manner that rate of loading w is uniform along the length Uvl is one which is spread over a beam in such a manner that rate of loading varies from point to point along the beam

3. uniformly varying load(uvl)

Sign convention: Shear force: Summation of left side force in upward direction = positive Summation of right side force in downward direction = positive

Summation of right side force in upward direction = negative Summation of left side force in downward direction = negative

Bending moment