Strength of Materials |
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Page 393
... Euler's Formula A column always tends to buckle in its most limber direction . For this reason , and since flexural resistance varies with moment of inertia , the value of I in the ... Euler's Formula 11-4 Limitations of Euler's Formula.
... Euler's Formula A column always tends to buckle in its most limber direction . For this reason , and since flexural resistance varies with moment of inertia , the value of I in the ... Euler's Formula 11-4 Limitations of Euler's Formula.
Page 394
... Euler's formula to be applicable , the stress accompanying the bending which occurs during buckling must not exceed the proportional limit . This stress may be found by replacing in Euler's formula the mo- ment of inertia I by its ...
... Euler's formula to be applicable , the stress accompanying the bending which occurs during buckling must not exceed the proportional limit . This stress may be found by replacing in Euler's formula the mo- ment of inertia I by its ...
Page 396
... Euler's formula is based . This problem demonstrates the importance of the slenderness ratio in column analysis . In part ( a ) the selection is governed by elastic stability ( i.e. , the use of Euler's formula ) , whereas in part ( b ) ...
... Euler's formula is based . This problem demonstrates the importance of the slenderness ratio in column analysis . In part ( a ) the selection is governed by elastic stability ( i.e. , the use of Euler's formula ) , whereas in part ( b ) ...
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allowable stresses aluminum angle applied assumed axial load beam in Fig beam loaded beam shown bending bending moment bolt bronze cantilever beam caused centroid column compressive stress Compute the maximum concentrated load concrete continuous beam 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 inertia lb/ft length loaded as shown main plate maximum shearing stress maximum stress midspan deflection modulus Mohr's circle moment of area moment of inertia neutral axis obtain plane positive proportional limit R₂ radius reaction Repeat Prob resisting restrained beam resultant segment shaft shear diagram shearing force shown in Fig Solution Solve Prob span statically indeterminate steel strain tensile stress three-moment equation torque torsional uniformly distributed load vertical shear weld zero ΕΙ