In the static case, a set of coupled ordinary differential equations for this physicists namesake theory reduces to a related theory if a term including this physicist’s namesake shear coefficient is ignored. For 10 points each:
[10h] Name this physicist. Along with Ehrenfest, this physicist names a beam theory which contrasts with Euler-Bernoulli beam theory by taking into consideration shear deformation and rotational bending.
ANSWER: Stephen Timoshenko
[10m] Timoshenko’s studies furthered understanding of buckling, which is a failure mode that results when this variable is higher than Euler’s critical value. The static or structural type of this variable is considered in beam theory which contracts with the dynamic type of this variable.
ANSWER: load
[10e] Both Timoshenko and Euler beam theory utilize the area or second variant of this variable. Both variants of this variable are represented with I and can be calculated for arbitrary shapes from known shapes with the parallel axis theorem.
ANSWER: moment of inertia
<Jim Fan, Physics>