Bending typical schemes. Simple supported Beam

SOM-98656-EN

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Determine the allowable uniformly distributed load on the beam based on strength and stiffness conditions.
The beam cross-section is a rectangular hollow section.
Cross-section dimensions h×b = 27×17 cm, wall thickness 0.6 cm.
Beam span: 3.8 m.
Material: steel, E = 200000 MPa, allowable stress [σ] = 200 MPa.
Allowable deflection [f] = L/400.

Cross-sectional area, cm²

Moment of inertia of the cross-section about the bending axis, cm⁴

Section modulus about the bending axis, cm³

Allowable value of q based on the strength condition, kN/m

Allowable deflection, mm

Allowable value of q based on the stiffness condition, kN/m

Overall allowable value of q, kN/m

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About this task

This task focuses on the design verification of a simply supported steel beam with a rectangular hollow cross-section. Students calculate the cross-sectional area, second moment of area, and section modulus, then determine the allowable uniformly distributed load from both strength and deflection requirements. The final result is obtained by comparing the permissible load values according to stress and stiffness criteria. The exercise reinforces beam bending theory, section property calculations, serviceability checks, and structural design principles used in strength of materials and machine design courses.