## Strength of Materials |

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Page 536

APPENDIX A MOMENTS OF INERTIA A-l. Definition of

engineering formulas, such as those relating to strength of beams, columns,

deflection of beams, involve the use of a mathematical expression of the form /p2

dA, ...

APPENDIX A MOMENTS OF INERTIA A-l. Definition of

**Moment of Inertia**Manyengineering formulas, such as those relating to strength of beams, columns,

deflection of beams, involve the use of a mathematical expression of the form /p2

dA, ...

Page 537

A- mation of the product of each area dA by the square of its moment arm y. This

gives Ix = Sy>dA (A-l) Similarly, the

/„ = fx2 dA (A-2) The

A- mation of the product of each area dA by the square of its moment arm y. This

gives Ix = Sy>dA (A-l) Similarly, the

**moment of inertia**about the Y axis is given by/„ = fx2 dA (A-2) The

**moment of inertia**(of area) is sometimes called the second ...Page 552

fxy dA and is denoted by the symbol P. The

as the

**Product of Inertia**The**product of inertia**is a mathematical expression of the formfxy dA and is denoted by the symbol P. The

**product of inertia**is not used as oftenas the

**moment of inertia**but is needed in such problems as determining ...### What people are saying - Write a review

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allowable stresses aluminum angle assumed axes axial load beam loaded beam shown bending bending moment bolt cantilever beam caused centroid CN CN CN column compressive stress Compute the maximum concentrated load concrete cross section deformation Determine the maximum diameter elastic curve end moments equal equivalent Euler's formula factor of safety fibers flange flexure formula free-body diagram ft long ft-lb Hence Hooke's law horizontal ILLUSTRATIVE PROBLEMS lb/ft length loaded as shown main plate maximum shearing stress maximum stress midspan modulus Mohr's circle moment of area moment of inertia moments of inertia neutral axis obtain plane plastic product of inertia proportional limit radius reaction Repeat Prob resisting restrained beam resultant segment shaft shear center shear diagram shearing force shown in Fig Solution Solve Prob span static steel strain tensile stress thickness torque torsional uniformly distributed load vertical shear weld zero