## Strength of materials |

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Page 393

For this reason, and since flexural resistance varies with moment of inertia, the

value of / in the column formulas is always the ...

the critical load that causes buckling depends not on the strength of the material ...

For this reason, and since flexural resistance varies with moment of inertia, the

value of / in the column formulas is always the ...

**Euler's formula**also shows thatthe critical load that causes buckling depends not on the strength of the material ...

Page 396

It is, therefore, not acceptable because it violates the stress-strain proportionality

on which

the slenderness ratio in column analysis. In Part a, the selection is governed by ...

It is, therefore, not acceptable because it violates the stress-strain proportionality

on which

**Euler's formula**is based. This problem demonstrates the importance ofthe slenderness ratio in column analysis. In Part a, the selection is governed by ...

Page 398

In one proposed method — that of the tangent-modulus theory — the

by replacing the constant modulus £ by a tangent modulus E„ namely, The

tangent ...

In one proposed method — that of the tangent-modulus theory — the

**Euler****formula**is extended to intermediate columns stressed above the proportional limitby replacing the constant modulus £ by a tangent modulus E„ namely, The

tangent ...

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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