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This online beam calculator calculates the forces and moments in the two bearings (= support reactions) and the angles of inclination of statically determined or statically indeterminate beams. In addition, the lateral force, the bending moment and the bending stress can be determined at a desired location. The bending moment and the shear force as a function of the length x is shown graphically in a diagram. The calculation of the maximum bending moment, the maximum bending stress, the maximum deflection and the associated position is possible, too.
The bearings can be designed as a fixed bearing, a movable bearing, a fixed clamping or as a free end. As a load, a equal load or a point load or the combination of both or a triangular load (left or right) can be selected.
By default, the bearing forces, the clamping moments, the lateral force and the bending moment at x = 0.5 m and the maximum bending moment for an I-steel with a fixed bearing and a movable bearing are calculated.
* To enter these values, select under Cross section A -> Other profiles -> "Own profile".
** The modulus of elasticity is automatically entered by selecting a material and can be changed at any time.
|FA||reaction force in bearing A in z-direction; in the x-direction there are no forces!|
|FB||reaction force in bearing B in z-direction; in the x-direction there are no forces!|
|MA||clamping moment in bearing A|
|MB||clamping moment in bearing B|
position of the maximum bending moment; Attention: only one place is calculated even if there are several equal bending moments!
|My.m||maximum bending moment|
|x||point where the bending moment or the lateral force is to be calculated|
|My (x)||bending moment at the point x|
|Q (x)||lateral force at the point x|
|A||cross section of the profile|
Young's modulus / modulus of elasticity
|Iy||area moment of inertia|
|σx||bending stress in the outer-fibre at the point x|
|σx.m||maximum bending stress in the beam at the point xM.m|
|αA||inclination angle of the beam in bearing A|
|αB||inclination angle of the beam in bearing B|
|xf.m||position of the maximum deflection of the beam|
|fm||maximum deflection of the beam at the point xf.m|
The support forces of both statically determined and statically indeterminate systems can be calculated by this calculator. The following combinations are possible:
Page created on August 2019. Last change: 14 August 2019.