Engineering Mechanics of Materials |
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Page 383
... Euler , a Swiss mathematician , who developed his now famous equation for the critical ( or Euler ) buckling load appli- cable to long columns . Relaxation of idealizing assumptions leads to a study of eccentrically loaded and initially ...
... Euler , a Swiss mathematician , who developed his now famous equation for the critical ( or Euler ) buckling load appli- cable to long columns . Relaxation of idealizing assumptions leads to a study of eccentrically loaded and initially ...
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 v axis and deflect ...
... 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 v axis and deflect ...
Page 406
... Euler column load . ( b ) The critical stress for this column . ( c ) The shortest length of this column for which the Euler equation applies . ( Neglect weld metal in your calculations . ) 8.10 1 in . 1 in . 4 in . 4 in . 2 in . 3 in ...
... Euler column load . ( b ) The critical stress for this column . ( c ) The shortest length of this column for which the Euler equation applies . ( Neglect weld metal in your calculations . ) 8.10 1 in . 1 in . 4 in . 4 in . 2 in . 3 in ...
Contents
Internal Forces in Members | 1 |
Stress Strain and Their Relationships | 53 |
Stresses and Strains in Axially Loaded Members | 115 |
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absolute maximum shear aluminum angle of twist applied Assume axes axial force axially loaded beam shown bending C₁ cantilever beam Castigliano's second theorem column components compressive Compute coordinate cross section cross-sectional area cylinder deflection deformation depicted in Figure Determine diameter elastic curve equal equation equilibrium Example factor of safety flexural stress free-body diagram Homework Problems k-ft k-in kN-m length M₁ material maximum shear stress MN/m² modulus of elasticity Mohr's circle moment of inertia neutral axis normal stress obtained perpendicular plane stress plot principal centroidal axis principal stresses r₁ ratio Refer to Figure respect rotation section a-a segment shaft shear strain shown in Figure slope Solution Solve static statically indeterminate steel stress at point stress condition stress element T₁ tensile tension Tmax torque torsional V₁ yield strength yield stress zero σ₁