### Bending, Deflection and Stress Equations Calculator for Beam Supported on Both Ends Uniform Loading

**Beam Deflection, Stress Formula and Calculators**

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on Both Ends with Uniform Loading Stress and Deflection equations and calculator.

Beams of Uniform Cross Section, Loaded Transversely

Total Load ("W")

or

Line Pressure Load (p)

**Open**

**Beam Deflection, Stress Uniform Loading Calculator**

Beam Stress at any point

Beam Stress at center of constant cross section

Beam Deflection at Any Given Point

Maximum Beam deflection at Center

With Total load "W"

or

Maximum Beam deflection at Center

With Line Pressure Load "p"

Where:

E = | Modulus of Elasticity | psi | (N/mm |

I = | Moment of Inertia | in^{4} |
(mm^{4)} |

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

W = | Total Load on Beam | lbs | (N) |

p = | With Line Pressure Load | psi-in | (N/mm) |

s = | Stress at the cross-section being evaluated | Lbs/in^{2} |
(N/mm^{2)} |

y = | Beam Deflection | inches | (mm) |

x = | Some distance as indicated | inches | (mm) |

Z = | section modulus of the cross-section of the beam = I/z | in^{3} |
(mm^{3)} |

z = | distance from neutral axis to extreme fiber (edge) | inches | (mm) |

- Please note letter "
*l*" (lower case "L") is different than "I" (Moment of Inertia). - Deflections apply only to constant cross sections along entire length.

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 or,
- Marks Standard Handbook for Mechanical Engineers, Tenth Edition 1996, Page 297 (Table 5.2.2)
- Mechanical Engineers Handbook, Edited by Myer Kutz, John Wiley & Sons, Inc., 1986, Page 414
- Eshback, Handbook of Engineering Fundamentals, Third Edition, Wiley Engineering Handbook Series, 1974, Page 518
- Mechanics of Materials, Ferdinand P. Beer & E. Russel Johnston, Jr. ISBN0-07-004291-8

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