Mechanics of Materials |
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Page 584
... solution , which is called the elastica , gives the exact shape of the elastic curve , assuming , of course , that beam deflections occur only due to bending . Through the use of higher mathematics , elastica solutions have been ...
... solution , which is called the elastica , gives the exact shape of the elastic curve , assuming , of course , that beam deflections occur only due to bending . Through the use of higher mathematics , elastica solutions have been ...
Page 666
... solution consists of both a complementary and particular solution , namely , ( a ) Fig . 13-11 P v = C1 sin x ) . P + C2 cos + 8 ΕΙ ΕΙ The constants are determined from the boundary conditions . At x = 0 , v = 0 , so that C2 = dv dx At ...
... solution consists of both a complementary and particular solution , namely , ( a ) Fig . 13-11 P v = C1 sin x ) . P + C2 cos + 8 ΕΙ ΕΙ The constants are determined from the boundary conditions . At x = 0 , v = 0 , so that C2 = dv dx At ...
Page 776
... SOLUTION External Force P. A vertical force P is placed on the beam at B as shown in Fig . 14-42b . Internal Moments M. A single x coordinate is needed for the solution , since there are no discontinuities of loading between A and B ...
... SOLUTION External Force P. A vertical force P is placed on the beam at B as shown in Fig . 14-42b . Internal Moments M. A single x coordinate is needed for the solution , since there are no discontinuities of loading between A and B ...
Common terms and phrases
allowable shear stress aluminum angle of twist Applying Eq average normal stress axes axial force axial load beam's bolt buckling caused centroid column compressive computed constant cross section cross-sectional area deflection deformation Determine the maximum diameter distributed load elastic curve element Example factor of safety free-body diagram ft Prob Hooke's law in² inertia kip/ft kN·m kN/m length linear-elastic loading shown located material maximum bending stress maximum in-plane shear maximum shear stress modulus of elasticity Mohr's circle moment of inertia neutral axis normal strain plane stress plastic principal stresses radius reactions sectional area segment shaft shear flow shear force shear strain shown in Fig SOLUTION Solve Prob statically indeterminate steel strain energy stress acting stress at points stress components stress distribution stress-strain diagram thickness Tmax torque torsional tube vertical yield zero ΕΙ