Updraft

Simply supported, uniformly distributed load(Round)

丸断面の梁について、両端支持 等分布荷重が掛かる場合のたわみと応力を計算します。

Diagram: Simply supported, uniformly distributed load Round
Diagram: Simply supported, uniformly distributed load Round

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Input

Beam length
LL
Young's modulus
EE
Diameter
dd
Density
ρρ
Acceleration due to gravity
gg

Result

Total mass
mm
Distributed load
ww
Second moment of area
II
Section modulus
ZZ
Reaction force
RR
Maximum bending moment
MM
Maximum deflection
δ\delta
Maximum bending stress
σ\sigma
  • The following is from 8.1 "Deflection of beams" of the AIJ Standard for Allowable Stress Design of Steel Structures (2019).
    • Under long-term loading, the deflection of a beam shall not exceed 1/300 of the span, or 1/250 for a cantilever. Purlins, girts and the like may go beyond this limit so long as the finish is not affected.
    • Where live load acts dynamically, the resulting vibration of the beam shall be checked so that comfort, the operation of precision equipment and productivity are not impaired.
    • For crane runway girders the limit is 1/500 of the span for hand-operated cranes, and 1/800 to 1/1 200 for other electric cranes, according to the circumstances.

Related pages

Simply Supported Beam, Round Section — Deflection Calculator | Updraft - Mechanical Engineering Calculators