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A cantilever beam has a length L and is loaded by a triangularly distributed load of maximum intensity q0 at B. (Solve this problem by integration the differential equations of the deflection curve. The beam has constant flexural rigidity E I.)

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The Deflection due to Triangular load is 11q₀L⁴/120EI

What is deflection due to triangular load?

The deflection due to the triangular load is usually given as:

σ₁ = 11q₀L⁴/120EI

Deflection due to reaction (R[tex]_{b}[/tex])(σ₂) =

R[tex]_{b}[/tex]L³/3EI

⇒ σ₁ = σ₂⇒ 11q₀L⁴/120EI

= R[tex]_{b}[/tex]L/3EI= R[tex]_{b}[/tex]

= 11q₀L/40

What is the significance of deflection in a beam?

In terms of structural engineering, a beam or node moving from its initial location is referred to as deflection.

It occurs as a result of the loads and forces that are placed on the body.

Deflection, also known as displacement, can result from the weight of the body structure itself or from externally applied stresses.

What is the relevance of deflection due to triangular load?

A structure's deflection must be taken into account during design, and the consequences of not doing so can be disastrous.

Deflections may be caused by various loads. These include, among others,

  • ground pressure
  • earthquakes
  • wind loads
  • shear loads
  • point loads
  • evenly distributed loads and
  • uniformly distributed loads.

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