## Strength of materials |

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Page 327

Figure 9-14 represents

analyzed in the preceding article. The center C is the average of the normal

stresses, and the radius is the hypotenuse of the right triangle CDA. How do the

coordinates ...

Figure 9-14 represents

**Mohr's circle**for the state of plane stress that wasanalyzed in the preceding article. The center C is the average of the normal

stresses, and the radius is the hypotenuse of the right triangle CDA. How do the

coordinates ...

Page 328

The radius of the circle to any point on its circumference represents the axis

directed normal to the plane whose stress components are given by the

coordinates of that point. 5. The angle between the radii to selected points on

The radius of the circle to any point on its circumference represents the axis

directed normal to the plane whose stress components are given by the

coordinates of that point. 5. The angle between the radii to selected points on

**Mohr's circle**is ...Page 546

of a, it will be found that the product of inertia is zero and the principal moments of

inertia are: A-1 1

change of symbols, Eqs. (A-9) and (A-1 1) are identical with Eqs. (9-5) and (9-6),

...

of a, it will be found that the product of inertia is zero and the principal moments of

inertia are: A-1 1

**MOHR'S CIRCLE**FOR MOMENTS OF INERTIA Except for achange of symbols, Eqs. (A-9) and (A-1 1) are identical with Eqs. (9-5) and (9-6),

...

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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