Engineering mechanics of materials |
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Page 274
Back substitution of these values for Cx and C2 into the equation for v and
division by EIu yields the equation of the elastic curve as a function of x for the
given beam and loading. Thus 1 / wL , w . wl? \ .„ . . v = Eru(nx3-24x*-ux) (°^L)
The ...
Back substitution of these values for Cx and C2 into the equation for v and
division by EIu yields the equation of the elastic curve as a function of x for the
given beam and loading. Thus 1 / wL , w . wl? \ .„ . . v = Eru(nx3-24x*-ux) (°^L)
The ...
Page 322
Equating these two equations leads to u + ^dpi = \ dpi dvi + dpi vt + u fa.28) The
term \dPt dvt is a second-order differential and without approximation may be
dropped from the equation. This yields the mathematical form of Castiglianos
second ...
Equating these two equations leads to u + ^dpi = \ dpi dvi + dpi vt + u fa.28) The
term \dPt dvt is a second-order differential and without approximation may be
dropped from the equation. This yields the mathematical form of Castiglianos
second ...
Page 458
the moment equation for the flexural member (i.e., the differential equation of the
elastic curve for the beam) is written in terms of unknown forces and/or moments.
Thus, in addition to the two constants of integration, the slope and deflection ...
the moment equation for the flexural member (i.e., the differential equation of the
elastic curve for the beam) is written in terms of unknown forces and/or moments.
Thus, in addition to the two constants of integration, the slope and deflection ...
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Contents
Internal Forces in Members | 1 |
Hollow Circular ShaftsAngle of Twist and Shearing Stresses | 157 |
4i5 Power Transmission | 169 |
Copyright | |
7 other sections not shown
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Common terms and phrases
absolute maximum shear allowable stress aluminum angle of twist applied Assume axial force axially loaded beam shown bending cantilever beam Castigliano's second theorem circular column components compressive Compute constant construct coordinate cross section cross-sectional area cylinder deflection deformation depicted in Figure Determine diameter differential elastic curve equal equation equilibrium factor of safety flexural stress free-body diagram function given by Eq Homework Problems k-ft k-in kN-m length longitudinal material maximum shear stress modulus of elasticity Mohr's circle neutral axis normal stress obtained perpendicular plane stress plot principal centroidal axis principal stresses radius Refer to Figure respect rotation section a-a segment shear center shear force shear strain shown in Figure slope Solution Solve static statically indeterminate steel stress element subjected Substitution tension tion torque torsional uniform load vertical yield strength yield stress zero