Strength of Materials |
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Page 184
... Elastic curve X ds de dx -Segment of beam — Fig . 6-1 . Elastic curve . Select the left end of the beam as the origin of an X axis directed along the original undeflected position of the beam , and a Y axis directed positive upward ...
... Elastic curve X ds de dx -Segment of beam — Fig . 6-1 . Elastic curve . Select the left end of the beam as the origin of an X axis directed along the original undeflected position of the beam , and a Y axis directed positive upward ...
Page 197
... elastic curve is so flat that no serious error is made in assuming the length ds to equal its projection dr . With this as- sumption , we obtain M do = dx EI ( b ) It is evident that tangents drawn to the elastic curve at C and D in Fig ...
... elastic curve is so flat that no serious error is made in assuming the length ds to equal its projection dr . With this as- sumption , we obtain M do = dx EI ( b ) It is evident that tangents drawn to the elastic curve at C and D in Fig ...
Page 208
... elastic curve at B slopes up or down to the right . Hint : Refer to Eq . ( 6-5 ) and Fig . 6-10 . Ans . ( Area ) ABTA = 2700 lb - ft3 ; slope is up to right 631. Determine the value of P for the beam loaded as shown in Fig . P - 631 so ...
... elastic curve at B slopes up or down to the right . Hint : Refer to Eq . ( 6-5 ) and Fig . 6-10 . Ans . ( Area ) ABTA = 2700 lb - ft3 ; slope is up to right 631. Determine the value of P for the beam loaded as shown in Fig . P - 631 so ...
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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