A cantilever is a type of structure that is supported at only one end, with the other end extending freely into space. This differs from other structures, such as beams or columns, which are supported at both ends.
Deflection is the amount of bending or displacement that occurs in a structure when a load is applied. In cantilever structures, deflection is important because it can affect the overall stability and strength of the structure.
The deflection in a cantilever structure can be calculated using the equation: D = (5wL^4)/(384EI), where D is the deflection, w is the applied load, L is the length of the cantilever, E is the modulus of elasticity, and I is the moment of inertia.
The equation for uniform load in cantilever deflection is: D = (5wL^4)/(384EI), where D is the deflection, w is the applied load per unit length, L is the length of the cantilever, E is the modulus of elasticity, and I is the moment of inertia.
As the length of the cantilever increases, the deflection also increases. Similarly, increasing the load applied to the cantilever will result in a larger deflection. This relationship is described by the cantilever deflection equation.