### Calculator Rectangular Cantilever Beam in Direct Compression and Bending Equationsr

**Beam Deflection, Stress Formula and Calculators**

Beam Stress and Deflection Calculations for Non-Engineers

Rectangular Cantilever Beam in Direct Compression and Bending:

Rule 1: For every calculated normal stress there is a corresponding induced shear stress; the value of the shear stress is equal to half that of the normal stress.

Rule 2: For every calculated shear stress there is a corresponding induced normal stress; the value of the normal stress is equal to that of the shear stress. The tables of combined stress formulas, below, include equations for calculating both maximum nominal tensile or compressive stresses, and maximum nominal shear stresses.

Maximum Nominal Tensile or Compressive Stress

Maximum Nominal

Shear Stress

Where:

L = | Length of Beam | inches | (mm) |

h = | Height of Beam | inches | (mm) |

b = | Width of Beam | inches | (mm) |

F _{y} = |
Applied Load | lbs | (N) |

F_{x} = |
Applied Load | lbs | (N) |

σ' _{a} = |
Stress, Tensile or Compressive | Lbs/in^{2} |
(N/mm^{2)} |

σ' _{b} = |
Stress, Tensile or Compressive | Lbs/in^{2} |
(N/mm^{2)} |

τ'_{a} = |
Stress , Max. Nominal Shear | Lbs/in^{2} |
(N/mm^{2)} |

τ'_{b} = |
Stress , Max. Nominal Shear | Lbs/in^{2} |
(N/mm^{2)} |

References:

- Any Machinery's Handbook published since 1931 or,
- Machinery's Handbook, 21st Edition, Page 404 or,
- Machinery's Handbook, 23st Edition, Page 260 or,
- Machinery's Handbook, 27st Edition, Page 261