CHOOSE ALL THAT APPLY 4. The principal axis (if denoted by coordinates (,2\") fo

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CHOOSE ALL THAT APPLY

4. The principal axis (if denoted by coordinates (,2") for the cross-section of a beam is a parallel axis a distance (-le-2c) to the overall centroid and in the same orientation as the y-z coordinate system at the centroid where the moment of inertiais zero and whose location is dependent on upon the applied moments and the geometry as expressed in the y z coordinate system. (b) False, the principal axis is co-located with the overall centroid. True (c) False, the principal axis is a rotation about the overall centroid. (d) False, the principal axis only depends on the moments applied. (e) False, the principal axis only depends on the geometry of the cross-section. (f) False, the moment is in general entirely in one of the "-directions. (g) False, the deflection is in general entirely in one of the "-directions (h) False, there are in general non-zero moments in both the - and z"-directions (i) False, there are in general non-zero deflections in both the - and"-directions G) False, the product of inertia Iy is zero in the principal orientation

Explanation / Answer

Options b, c, e, h, i and j are correct answers. The product of inertia is zero for sections symmetric about the two axis. Other answers are self explanatory.

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