deflection of structures

Deflection of Structures

Deflection is the displacement of a structural element under load. Common methods to calculate deflection:

1. Double Integration Method
2. Moment-Area Method
3. Conjugate Beam Method
4. Virtual Work Method

The fundamental equation for beam deflection is: $\frac{d^2y}{dx^2} = \frac{M(x)}{EI}$

Geometric Methods (Moment-Area, Conjugate Beam)

Explanation of Geometric Methods (Moment-Area, Conjugate Beam). This section covers the fundamental principles and applications of Geometric Methods (Moment-Area, Conjugate Beam) in structural analysis.

Energy Methods (Work-Energy, Virtual Work/Unit Load Method)

Explanation of Energy Methods (Work-Energy, Virtual Work/Unit Load Method). This section covers the fundamental principles and applications of Energy Methods (Work-Energy, Virtual Work/Unit Load Method) in structural analysis.

Castigliano's Theorem

Explanation of Castigliano's Theorem. This section covers the fundamental principles and applications of Castigliano's Theorem in structural analysis.

Maxwell's Theorem of Reciprocal Displacements

Explanation of Maxwell's Theorem of Reciprocal Displacements. This section covers the fundamental principles and applications of Maxwell's Theorem of Reciprocal Displacements in structural analysis.