## Strength of materials |

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Page 38

Poisson's

deformation is the change in transverse dimensions accompanying axial tension

or compression. Experiments show that if a bar is lengthened by axial tension,

there is a ...

Poisson's

**Ratio**. Biaxial and Triaxial Deformations Another type of elasticdeformation is the change in transverse dimensions accompanying axial tension

or compression. Experiments show that if a bar is lengthened by axial tension,

there is a ...

Page 394

The

column tends to buckle about the axis of least moment of inertia, the least radius

of gyration should be used to determine the slenderness

The

**ratio**— is called the slenderness**ratio**of the column. Since an axially loadedcolumn tends to buckle about the axis of least moment of inertia, the least radius

of gyration should be used to determine the slenderness

**ratio**. Conventionally ...Page 419

Their use is facilitated by calculating the values of — corresponding to assumed

K P ee values of — for various values of the eccentricity

0.4, A ' k etc., to 1.0. This procedure gives the data in the table on page 420, from

...

Their use is facilitated by calculating the values of — corresponding to assumed

K P ee values of — for various values of the eccentricity

**ratio**7-5 > such as 0.2,0.4, A ' k etc., to 1.0. This procedure gives the data in the table on page 420, from

...

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allowable stresses aluminum angle assumed axes axial load beam in Fig beam loaded beam shown bending bolt cantilever beam caused centroid CN CN column compressive stress Compute the maximum concentrated load concrete cover plate 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 hinged Hooke's law horizontal ILLUSTRATIVE PROBLEMS lb/ft length loaded as shown main plate maximum shearing stress maximum stress midspan midspan deflection modulus Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius ratio 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