Question
This theory ignores shear deformation and momentary inertia and is thus a special case of another theory named after Timoshenko and Ehrenfest. For 10 points each:
[10m] Name this doubly eponymous theory, which calculates different characteristics of beams, such as deflection.
ANSWER: Euler-Bernoulli beam theory
[10h] Euler-Bernoulli theory uses this quantity, which for a beam with axis along the x-axis and loading along the z-axis, is equal to “the double integral of z-squared d-y d-z.”
ANSWER: second moment of area [accept second area moment; accept quadratic moment of area; accept area moment of inertia; prompt on moment of area or area moment; reject but do not reveal “moment of inertia”]
[10e] The parallel axis theorem can be used to calculate both the second moment of area and this quantity, which is the rotational analog of mass.
ANSWER: moment of inertia
<Ezra Santos, Other Science>
Summary
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