Engineering Mechanics of Materials |
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Page 393
... Euler Critical Load Leonard Euler ( 1707-1783 ) , a Swiss mathematician , more than two hundred years ago , laid the foundations for the study of column behavior . His name appears frequently in the literature of mathematics , science ...
... Euler Critical Load Leonard Euler ( 1707-1783 ) , a Swiss mathematician , more than two hundred years ago , laid the foundations for the study of column behavior . His name appears frequently in the literature of mathematics , science ...
Page 398
... Euler load to the weight of the column . ( The slenderness ratio is such that the Euler equation applies in this case . ) Solution ( a ) The principal axes are u and v and I , < I. The column will buckle about the y axis and deflect in ...
... Euler load to the weight of the column . ( The slenderness ratio is such that the Euler equation applies in this case . ) Solution ( a ) The principal axes are u and v and I , < I. The column will buckle about the y axis and deflect in ...
Page 400
... Euler column load , ( b ) the critical stress for this column , ( c ) the shortest length of this column for which the Euler equation applies , and ( d ) the ratio of the critical Euler load to the weight of the column . Solution ( a ) ...
... Euler column load , ( b ) the critical stress for this column , ( c ) the shortest length of this column for which the Euler equation applies , and ( d ) the ratio of the critical Euler load to the weight of the column . Solution ( a ) ...
Contents
T Shear and Moment at Specified Sections | 24 |
Stress Strain and Their Relationships | 53 |
Stresses and Strains in Axially Loaded Members | 115 |
Copyright | |
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acting allowable angle of twist applied Assume axes axis beam bending cantilever centroidal circle column components compressive Compute Consider constant construct coordinate cross section curve deflection deformation depicted in Figure Determine developed diameter direction discussed elastic element energy equal equation equilibrium Example expressed factor failure flexural force free-body diagram function given inertia joint length limit load material maximum shear stress method modulus moment moments neutral axis normal stress Note obtained plane plot positive principal stresses Problem properties quantity ratio reactions Refer to Figure relation represents resist respect rotation segment shaft shown in Figure slope Solution Solve static steel strain strength structural subjected Substitution supported surface tensile tension theory tion torque unit yield zero