Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Force Newtons (N)

Required number input.

Length Meters (m)

Required number input.

Modulus Pascals (Pa)

Required number input.

Second Moment Meters4 (m⁴)

Required number input.

Free-end deflection of an ideal prismatic cantilever under a point force at the free end, neglecting shear deformation. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Deflection Meters (m)

The resulting deflection meters returned as a number.

• Simple beam equations assume stated supports, loads, linear elasticity, small deflection, and an appropriate section property. Shear deformation, local buckling, lateral-torsional buckling, cracking, creep, connections, dynamics, and code combinations may govern.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Beam Reaction Uniform

  Each end reaction of a simply supported beam carrying a uniformly distributed full-span load.

• Bolt Group Shear

  Average direct shear force per bolt for a concentric load shared equally by identical bolts; excludes eccentricity and prying.

• Bolt Shear Capacity

  Nominal single-shear force from bolt shear area times a user-supplied allowable shear stress; not a code-rated connection capacity.