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Fixed at both ends, uniformly distributed load(Aluminium extrusion)

アルミフレーム(ミスミ HFS・SUS SF)を梁に使う場合の、両端固定 等分布荷重でのたわみと応力を計算します。断面が溝付きで複雑なため、寸法からは計算せずメーカー公表の断面性能を使います。

Diagram: Fixed at both ends, uniformly distributed load Aluminium extrusion
Diagram: Fixed at both ends, uniformly distributed load Aluminium extrusion

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Input

The second moment of area and the section modulus come from the manufacturer's published values, so pick a part number.

Beam length
LL
Young's modulus
EE
高さ(曲げ方向)
hh
Width
bb
Acceleration due to gravity
gg

Result

Beam mass
mm
梁の自重による分布荷重
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

Fixed-Fixed Beam, Aluminium Extrusion — Calculator | Updraft - Mechanical Engineering Calculators