Crane Main Girder Section Moment of Inertia Calculator

Crane main girder section moment of inertia calculator calculates the bending stiffness of main girders. A higher main girder section moment of inertia indicates greater rigidity and less deformation. For overhead and gantry cranes, it directly defines load capacity and evaluates risks of plastic deformation and fracture. This crane main girder section moment of inertia calculator also computes deflection to prevent girder distortion and sway during travel and braking.
Crane Main Beam Moment of Inertia Calculator

1. Manual Input Section Dimensions

Please enter valid number
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2. Auto Calculated Intermediate Parameters

A1 (cm²)
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A2 (cm²)
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A3 (cm²)
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A4 (cm²)
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d1
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d2
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d3
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d4
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Global Centroid ȳ
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Moment of Inertia Ix (cm⁴):
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Instructions for Use

  • The parameters in this crane main girder section moment of inertia calculator
    are primarily applicable to rectangular hollow sections.
  • Ix corresponds to the vertical loading and vertical bending of the crane’s main
    girder; this value can be directly substituted into the calculation of the main
    girder’s deflection.

Crane Main Girder Section Moment of Inertia Calculator Formula

起重机主梁截面惯性矩公式
\[ \begin{aligned} I_x &= \frac{B_1 \times t_1^3}{12} + A_1 d_1^2 \\ &\quad + \frac{B_2 \times t_2^3}{12} + A_2 d_2^2 \\ &\quad + \frac{\delta_1 \times h_w^3}{12} + A_3 d_3^2 \\ &\quad + \frac{\delta_2 \times h_w^3}{12} + A_4 d_4^2 \end{aligned} \]
  • B1: The upper flange width (unit: cm)
  • B2: The lower flange width (unit: cm)
  • t1: The upper flange thickness (unit: cm)
  • t2: The lower flange thickness (unit: cm)
  • A1: The upper flange area (unit: cm2)
  • A2: The lower flange area (unit: cm2)
  • A3: Main web area (unit: cm2)
  • A4: Sub web area (unit: cm2)
  • d1: The upper flange to the section centroid distance
  • d2: The lower flange to the section centroid distance
  • d3: Main web to the section centroid distance
  • d4: Secondary web to the section centroid distance

Plate-to-Section Centroid Distance

各板形心距离公式
\[ \begin{aligned} d_1 &= \bar{y} – y_1 \\ d_2 &= \bar{y} – y_2 \\ d_3 &= \bar{y} – y_3 \\ d_4 &= \bar{y} – y_4 \end{aligned} \]
  • y1/y2/y3/y4: Y-Coordinate of Each Plate's Centroid in Cross-Section

Section Centroid

\[ \bar{y} = h_x = \frac{A_1 y_1 + A_2 y_2 + A_3 y_3 + A_4 y_4}{A_1 + A_2 + A_3 + A_4} \]

Applicable Products

  • Overhead Cranes
  • Gantry Cranes
  • Shipyard Gantry Cranes
  • Rail-Mounted Gantry Cranes (RMG)
  • Rubber-Tyred Gantry Cranes (RTG)
  • Metallurgical Cranes

Contact Details

DGCRANE is committed to providing the professional Overhead crane products and relavent service. Exported to Over 100 Countries, 5000+ Customers Choose Us, Worth to be Trusted.

sales@dgcrane.com

+86 373 387 6188

+86 189 3735 0200
+86 189 3735 0200
Floor 30,Gongyuan INT'I Building, Jinsui Road, Xinxiang City, Henan Province, China

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