Engineering lab · Interactive tool
Beam Deflection + Stress Calculator.
Screen a solid rectangular beam under a cantilever end load, simply supported center load, or simply supported uniform line load.
Elastic beam screening / rectangular section
Live calculationI = b·h³ / 12Beam results updated. Maximum deflection 0.9662 millimeters. Maximum stress 20 megapascals. Yield factor of safety 13.8.
- P or w: applied load
- L: span
- E: elastic modulus
- I: second moment of area
- Sᵧ: yield strength
- Cantilever end load: 187.5 MPa and 15.625 mm
- Simply supported center load: 46.875 MPa and 0.9765625 mm
Added visible variables, two verification examples, and an experience connection. Calculation method is unchanged.
Related engineering capabilityUse first-order response to guide the next model
The calculator applies closed-form Euler–Bernoulli beam equations in an N-mm-MPa unit system. It reports the extreme-fiber bending stress, maximum elastic deflection, maximum moment, and arithmetic yield factor of safety.
A result that appears acceptable is not proof that the real part is acceptable. Connections, cutouts, load introduction, stability, geometry changes, and multidirectional loading often control the design.
Escalate beyond this model when
- Deflection is not small relative to the span or section depth
- The section changes, contains openings, or is not rectangular
- Shear deformation may be important
- Buckling or lateral-torsional stability can control
- Loads are dynamic, cyclic, thermal, or multidirectional
- Supports and joints are not reasonably idealized
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