The Chartership Forum

Structural analysis / exercises

Stress, materials and member behaviour

Modules 7 to 12: stress and strain, material behaviour, bending, shear, torsion and composite sections. Watch for questions where the obvious formula is the wrong one.

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Teaching basis and review status

These are educational models and exercises. Check their assumptions before using the results. The full technical content and every diagram have not yet been independently verified.

Concrete and steel calculations retain their stated first-generation Eurocode teaching basis. Use the standards and amendments specified for your project; do not mix generations without an appropriate design basis.

Read the lesson register and outstanding review notes

Practice

A steel bar 3.00 m long with a cross-sectional area of 1500 mm² carries 210 kN in tension, with E = 205 000 N/mm². How much does it stretch, in mm?

Practice

A rectangular beam 200 mm wide and 500 mm deep carries a bending moment of 180 kNm. What is the maximum bending stress, in N/mm²?

Practice

That same section is made of steel with σy = 355 N/mm². What is its fully plastic moment, in kNm?

Check yourself

A rectangular bar 80 mm × 20 mm is to carry a torque. Which is the right approach?

Practice

A solid circular shaft of diameter 100 mm carries a torque of 12.0 kNm. What is the maximum shear stress, in N/mm²?

Practice

A fully restrained steel member (E = 205 000 N/mm², α = 12 × 10⁻⁶ per °C) is heated by 35 °C. What is the magnitude of the stress, in N/mm²?