mechanics of solids 21306003

Om Institute of Technology

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Subject: Mechanics of Solids

Subject code: 21306003


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PRESENTATION ON:

Support Reaction on beam

Presented by:

Shah Juhi

BEAMSBeam is the horizontal member

of a structure, carrying transverse loads. Beam is rectangular in cross-section. Beam carry the Floor slab or the roof slab. Bram transfer all the loads including its self-weight to the columns or walls.


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Load Acting on a Structure

Dead Load Dead load is the self-weight of thevarious components

of a building.Live Load Live load is the external superimposed load on a

structure. Live loads may be (i) Uniformly distributed load(ii) Uniformly varying load(iii) Concentrated load


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Types of BEAMS SIMPLY SUPPORTED BEAM FIXED BEAM CANTILEVER BEAM CONTINUOUS BEAM OVERHANGING BEAM


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Simply supported beamIt is a beam supported freely at the two ends on walls or columns. In actual practice, no beam rests freely on the supports (walls or columns).


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Fixed beamIn this beam, both ends of the beam are rigidly fixed into the supports. Also, Main reinforcement bars and stirrups are provided.


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It is fixed in a wall or column at one end and the other end is free, it is called cantilever beam. It has tension zone in the top side and compression zone in the bottom side

Cantilever beamOm Institute of

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Continuous beamIt is supported on more than two supports . This beam is more economical for any span lengths.


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Overhanging beamIn overhanging beam, Its end extends beyond the wall or column support. Overhanging of the beam is the unsupported portion of the beam. It may be one side or both the sides of the support.


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TYPES OF SUPPORTOm Institute of

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Types of Loading on Beams Concentrated Load Uniformly Distributed

Loads Uniformly Varying Loads Applied Couple


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TYPES OF LOADSOm Institute of

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Concentrated load:

A concentrated load is the one which acts over so small length that it is assumed to act at a point. Practically, a point load can not be places as knife edge contact but for calculation purpose we consider that load is being transmitted at a point. Figure represents point loading at points A and B.


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Uniformly distributed load:

A uniformly distributed load implies a constant intensity of loading (w). It is generally abbreviated as U.D.L. and its unit is kN/m. Figure represents a U.D.L. between points A and B.


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Uniformly varying load:

A uniformly varying load implies that the intensity of loading increases or decreases at a constant rate along the length. w = w0 = k . x where k is the rate of change of the loading intensity, w0 being the loading at the reference point.


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Applied Moment (M)

• Applied moment (M) is a force couple that creates a torque, a twisting force, at a point along the beam.


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SHEAR FORCES AND BENDING MOMENTS

Shear Force: is the algebraic sum of the vertical forces acting to the left or right of the cut section

• A shear force (SF) is defined as the algebraic sum of all the vertical forces, either to the left or to the right hand side of the section.

Bending Moment: is the algebraic sum of the moment of the forces to the left or to the right of the section taken about the section.

A bending moment (BM) is defined as the algebraic sum of the moments of all the forces either to the left or to the right of a section


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SHEAR FORCES AND BENDING MOMENTS

• The resultant of the stresses must be such as to maintain the equilibrium of the free body.

• The resultant of the stresses acting on the cross section can be reduced to a shear force and a bending moment.

• The stress resultants in statically determinate beams can be calculated from equations of equilibrium.


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mechanics of solids 21306003

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