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For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings? [IAS-2007] (a) A concentrated load at mid-span (b) Udl over the entire span (c) A couple anywhere within its span (d) Two concentrated loads equal in magnitude and placed at equal distance from each support?
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Uniform Shear Force in a Simply Supported Beam

A simply supported beam is a type of beam that is supported at two points and is free to rotate at both ends. When a load is applied to the beam, it creates a shear force and a bending moment in the beam.

To ensure that the shear force is uniform throughout the span of a simply supported beam, it should carry a specific type of loading. Let's explore the different loading options and see which one is suitable for achieving uniform shear force.

(a) Concentrated Load at Mid-Span

A concentrated load at mid-span means that a single point load is applied at the center of the beam. This type of loading will not result in uniform shear force throughout the span of the beam. The shear force will be maximum at the point where the load is applied and will decrease towards both ends of the beam.

(b) UDL over the Entire Span

A uniformly distributed load (UDL) is a load that is distributed evenly over the entire span of the beam. This type of loading results in a uniform shear force throughout the span of the beam. The shear force at any point in the beam will be the same as the shear force at any other point in the beam.

(c) Couple Anywhere within its Span

A couple is a type of loading that creates a twisting effect on the beam. This type of loading does not result in a uniform shear force throughout the span of the beam.

(d) Two Concentrated Loads Equal in Magnitude and Placed at Equal Distance from Each Support

When two equal point loads are applied at equal distances from each support, it is called symmetrical loading. This type of loading results in a uniform shear force throughout the span of the beam. The shear force at any point in the beam will be the same as the shear force at any other point in the beam.

Conclusion

To achieve a uniform shear force throughout the span of a simply supported beam, it should carry a uniformly distributed load (UDL) over the entire span or two equal point loads that are symmetrically placed.
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For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings? [IAS-2007] (a) A concentrated load at mid-span (b) Udl over the entire span (c) A couple anywhere within its span (d) Two concentrated loads equal in magnitude and placed at equal distance from each support?
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