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Cantilever, concentrated load at any position(Aluminium extrusion)

アルミフレーム(ミスミ HFS・SUS SF)を梁に使う場合の、片持ち 集中荷重(任意位置)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: Cantilever, concentrated load at any position Aluminium extrusion
Diagram: Cantilever, concentrated load at any position Aluminium extrusion
Load condition

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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.

高さ(曲げ方向)
hh
Width
bb
Concentrated load
PP
Beam length
LL
Load position
lal_a
Young's modulus
EE

Result

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.
Cantilever Beam, Aluminium Extrusion — Deflection Calculator | Updraft - Mechanical Engineering Calculators