Mechanics of Materials |
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Page 309
... axes are chosen as principal axes of inertia for the area . For an arbitrarily shaped area , like the one shown in Fig . 6-32a , the orientation of the principal axes can always be determined , using either the inertia transformation ...
... axes are chosen as principal axes of inertia for the area . For an arbitrarily shaped area , like the one shown in Fig . 6-32a , the orientation of the principal axes can always be determined , using either the inertia transformation ...
Page 310
... axes of the cross section . When this occurs , the moment should first be re- solved into components directed along the principal axes . The flexure formula can then be used to determine the normal stress caused by each moment component ...
... axes of the cross section . When this occurs , the moment should first be re- solved into components directed along the principal axes . The flexure formula can then be used to determine the normal stress caused by each moment component ...
Page 791
... axes . We will now determine the orientation of the x ' , y ' axes about which the moments of inertia for the area , I , and Iy , are maximum and minimum . This particular set of axes is called the principal axes of inertia for the area ...
... axes . We will now determine the orientation of the x ' , y ' axes about which the moments of inertia for the area , I , and Iy , are maximum and minimum . This particular set of axes is called the principal axes of inertia for the area ...
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