Beam Calculators: Bending Moments, Deflection and Stiffness

This collection of beam calculators focuses on cantilever beams under different loading conditions. Each tool determines the bending moment, shear force, slope, and deflection of the beam, helping you verify designs quickly without manual integration of beam formulas.Use the Cantilever Beam with Uniform Load or the Cantilever Beam with Distributed Load for evenly spread weights, the Cantilever Beam with Load at Free End for a single tip force, and the Cantilever Beam with Load at Any Point when the force sits somewhere along the span. The set also covers the Cantilever Beam with Couple Moment and the Cantilever Beam Stiffness calculator. These tools are made for civil, mechanical, and structural engineers, students, and anyone checking beam behavior under load.

Section Modulus

Calculate the elastic section modulus and second moment of area for rectangle, circle, tube, or I/H beam sections. Enter the dimensions, choose a shape, and get properties about the strong bending axis.

Uniformly Loaded Simply Supported Beam

Calculates the support reactions, maximum bending moment and midspan deflection of a simply supported beam carrying a uniformly distributed load. Enter the span, load, Young's modulus and second moment of area.

Cantilever Beam Stiffness

Calculate the bending stiffness of a cantilever beam from Young's modulus, area moment of inertia, and length. Enter values in MPa, cm⁴ and m to get stiffness in N/m.

Center-Loaded Simply Supported Beam

Calculate support reactions, maximum bending moment and midspan deflection for a simply supported beam carrying a point load at its center. Enter span, load, Young's modulus and moment of inertia.

Cantilever Beam with Couple Moment

Calculate the slope at the free end and the deflection at any section of a cantilever beam subjected to a couple moment. Enter the moment, elastic modulus, moment of inertia, length, and position of interest.

Cantilever Beam with Load at Any Point

Calculate the slope and deflection of a cantilever beam with a point load applied at any position along its length. Enter the load, beam properties, load position, and evaluation point to get instant results.

Shaft Torsion

Calculate the maximum shear stress and the angle of twist in a solid or hollow circular shaft. Enter the torque, dimensions, length and shear modulus to check a shaft design in seconds.

Cantilever Beam with Load at Free End

Calculate the slope at the free end and the deflection at any point along a cantilever beam with a point load applied at its tip. Enter the load, elastic modulus, moment of inertia, beam length, and the position of interest.

Euler Buckling

Calculate the critical Euler buckling load of a slender column from its length, Young's modulus, second moment of area and end conditions. Enter the column properties and see the load at which it buckles.

Cantilever Beam with Distributed Load

Calculate the slope at the free end and the deflection at any point of a cantilever beam carrying a distributed load. Enter the load, elastic modulus, moment of inertia, beam length, and position to get instant results.

Cantilever Beam with Uniform Load

Calculates the slope at the free end and the deflection at any point along a cantilever beam carrying a uniform load. Enter the applied load, elastic modulus, moment of inertia, beam length and position.