Steel mast

SOM-MAST-EN

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Calculate the critical load for a compressed mast of height 3.4 m. The cross-section is a rectangular hollow section, b×h = 100×170 mm, wall thickness 5 mm. Material: low-carbon steel, E = 200 000 MPa, Yasinsky formula coefficients a=310, b=1.14
Column support scheme

Column cross-section

Second moment of area about the axis with greater stiffness Ix, cm⁴

Second moment of area about the axis with lower stiffness Iy, cm⁴

Radius of gyration ix, cm

Radius of gyration iy, cm

Slenderness ratio λx

Slenderness ratio λy

Critical load for buckling in the direction perpendicular to the plane of the braces, kN

Critical load for buckling in the plane of the braces, kN

Actual critical load of the compressed member, kN

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About this task

This task is dedicated to calculating the stability of a compressed steel mast made of a profile pipe. Students determine the moments and radii of inertia of the section, calculate the flexibility of the rod in both planes, find the critical forces according to the Euler or Yasinsky formulas depending on the flexibility and determine the actual critical force of loss of stability. The task forms practical skills in analyzing the stability of compressed elements, applying the criteria for loss of stability and calculating steel structures.