Mode Shape Equation Calculator

The mode shape equation in structural engineering typically describes the spatial distribution of displacement or deformation of a structure’s vibrational mode. It is often represented mathematically as:

Where:

• $u(x)$ is the displacement or deformation at position $x$ along the structure,
• $A$ is the amplitude of the mode shape,
• $n$ is the mode number (1, 2, 3, …),
• $L$ is the length of the structure.