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Given: beam span 5.5 m, I-beam No. 55 (Jx=55962cm4, Jy=2035cm4, Wx=1356cm3, Wy=151cm3), load 16 kN/m, angle of inclination of the loading plane from the vertical α=6 degrees.
Oblique bending of a simply supported I-beam
SOM-OB-01-EN
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Given: beam span 5.5 m, I-beam No. 55 (Jx=55962cm4, Jy=2035cm4, Wx=1356cm3, Wy=151cm3), load 16 kN/m, angle of inclination of the loading plane from the vertical α=6 degrees.
Bending moment about the X-axis, kN·m (absolute value)
Bending moment about the Y-axis, kN·m (absolute value)
Normal stress at point A, MPa
Normal stress at point B, MPa
Angle of inclination of the neutral axis to the X-axis, degrees
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About this task
This problem covers oblique bending of a simply supported I-beam subjected to a uniformly distributed load acting in an inclined plane. Students resolve the bending moment into components about the principal section axes, calculate normal stresses at specified points, and determine the inclination of the neutral axis. The task develops practical skills in unsymmetrical bending analysis, use of I-section geometric properties, and interpretation of stress distribution in beam cross-sections. It is suitable for strength of materials and mechanics of materials courses.