## Strength of materials |

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Page 520

dA by the square of its moment arm y. This gives The

is sometimes called the second moment of area because each differential area ...

**moment of inertia**about the x axis is the summation of the product of each areadA by the square of its moment arm y. This gives The

**moment of inertia**(of area)is sometimes called the second moment of area because each differential area ...

Page 523

Ix = Ix + Ad2 (A-5) Put into words, this equation states that for any area the

Ix = Ix + Ad2 (A-5) Put into words, this equation states that for any area the

**moment of inertia**with respect to any axis in the plane of the area is equal to the**moment of inertia**with respect to a parallel centroidal axis plus a transfer term ...Page 528

All. Determine the

parabolic area shown in Fig. P-A 1 1 where m is a constant Ans. Ix = f^ab* Figure

P-All and P-A12 A-6

...

All. Determine the

**moment of inertia**with respect to the x axis of the shadedparabolic area shown in Fig. P-A 1 1 where m is a constant Ans. Ix = f^ab* Figure

P-All and P-A12 A-6

**MOMENTS OF INERTIA**FOR COMPOSITE AREAS When a...

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allowable stresses aluminum angle area-moment assumed axes axial load beam in Fig beam loaded beam shown bending bolts cantilever beam caused centroid column components compressive stress Compute the maximum concentrated load connector cross section deformations Determine the maximum diameter elastic curve element end moments equal equivalent Euler's formula factor of safety fibers Figure flange flexure formula free-body diagram Hence Hooke's law horizontal Illustrative Problem kips lb/ft length loaded as shown main plate maximum shearing stress maximum stress method midspan deflection Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius reaction rectangular resisting resultant rivet rotation segment shaft shear center shear diagram shearing force shown in Fig slope Solution span static steel strain tensile stress thickness three-moment equation torque torsional U.S. Customary Units uniformly distributed load vertical shear weld zero