Module 06
Cross-section resistance
What a slice of steel can carry — in tension, compression, bending, shear and torsion, and in the combinations that actually occur.
What this module covers
- Distinguish gross yielding from net-section fracture, and say why it matters
- Calculate block tearing, and explain why it mixes a yield term with an ultimate term
- Apply the section class to choose the right modulus
- Derive the plastic shear resistance and say which part of it is code
- Derive the N–M interaction of a rectangle, and see why an I section differs
- Explain why an open section is so poor in torsion, and when warping takes over
Lessons
A tension member is the simplest thing in structural steel, right up to the point where you connect it.
Start lesson →One interaction in this subject falls out of mechanics. Every other one is fitted — and knowing which is which changes how much you trust them.
Start lesson →
Module checkpoint
Check what you have taken in
6 questions
Question 1
A 6000 mm² tie in S355 has 5200 mm² net area. What is the gross yielding resistance, in kN? Take γM0 = 1.0.
Question 2
For that same tie, what is the net fracture resistance, in kN? Take fu = 510, γM2 = 1.25.
Question 3
A block has Ant = 750 mm² and Anv = 1800 mm², in S275 (fy = 275, fu = 430). What is the block tearing resistance, in kN?
Question 4
A rectangular section carries 60% of its squash load. What fraction of its plastic moment remains?
Question 5
A section has Wpl = 2000 × 10³ mm³ and Wel = 1750 × 10³ mm³. By what percentage does its bending resistance fall if it drops from Class 2 to Class 3?
Question 6
What is the shear yield stress of S460 steel, in N/mm², on the von Mises criterion?