Cantilever Beam with Couple Moment Calculator
Calculate the slope at the free end and deflection at any section of a cantilever beam subjected to a couple moment. Ideal for structural analysis and educational purposes in civil and mechanical engineering.
Cantilever Beam with Couple Moment Formula
\text{Slope at free end} = \frac{M \cdot L}{E \cdot I}
\text{Deflection at any section} = \frac{M \cdot x^2}{2 \cdot E \cdot I}
Where:
- $$M$$: Couple moment (Nm)
- $$L$$: Length of beam (m)
- $$x$$: Distance from fixed end (m)
- $$E$$: Young’s modulus (Pa)
- $$I$$: Moment of inertia (m⁴)
This calculator determines how a cantilever beam bends when a pure moment is applied at its free end. It helps assess deflection at any point and angular displacement, essential for design safety and compliance.