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Queensferry

Stage C · Deflection and general stress analysis

Deflection and general stress analysis: stage assessment

Modules 13 to 15: deflection, complex stress and strain, and energy methods. Several of these can be done more than one way — if two routes agree, you have a real check.

This draws on the whole stage rather than one module, and several questions need two ideas combined. Work them out properly before checking — the point is to find out what you can do unaided, and a hint taken early tells you nothing.

There is no pass mark and nothing is recorded anywhere but your own browser. If a question defeats you, the module it came from is listed alongside.

Module checkpoint

Check what you have taken in

6 questions

  1. Question 1

    A simply supported beam spans 8.00 m under a UDL of 15.0 kN/m, with E = 205 000 N/mm² and I = 4.00 × 10⁸ mm⁴. What is the maximum deflection, in mm? (15 kN/m = 15 N/mm.)

  2. Question 2

    At a point σx = 120 N/mm², σy = 30 N/mm² and τxy = 50 N/mm². What is the major principal stress, in N/mm²?

  3. Question 3

    For that same stress state, what is the von Mises equivalent stress, in N/mm²?

  4. Question 4

    A cantilever of span 2.50 m carries a 20.0 kN tip load, with E = 205 000 N/mm² and I = 9.00 × 10⁷ mm⁴. Using Castigliano or the unit-load method, what is the tip deflection, in mm?

  5. Question 5

    In the unit-load method, what must the virtual system satisfy, and what must the real system satisfy?

  6. Question 6

    At a point εx = 300 µ, εy = 100 µ and γxy = 160 µ. What is the major principal strain, in microstrain?

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