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Fixed at both ends, uniformly distributed load(L-section and T-section)

L形鋼/T形鋼断面の梁について、両端固定 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: Fixed at both ends, uniformly distributed load L-section and T-section
Diagram: Fixed at both ends, uniformly distributed load L-section and T-section

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Input

Beam length
LL
Young's modulus
EE
Width
bb
Height
hh
Web thickness
t1t_1
Flange thickness
t2t_2
Density
ρρ
Acceleration due to gravity
gg

Result

Total mass
mm
Distributed load
ww
Distance from top to centroid
e1e_1
Distance from bottom to centroid
e2e_2
Second moment of area
II
Section modulus (top)
Z1Z_1
Section modulus (bottom)
Z2Z_2
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, Angle and T-Section — Calculator | Updraft - Mechanical Engineering Calculators