Engineering Mechanics of Materials |
From inside the book
Results 1-3 of 84
Page 217
... respect to the X axis , ry the rectangular radius of gyration with respect to the Y axis , and ro the polar radius of gyration with respect to an axis through point O as shown in Figure 5.2 . xy Note that while moments of inertia can ...
... respect to the X axis , ry the rectangular radius of gyration with respect to the Y axis , and ro the polar radius of gyration with respect to an axis through point O as shown in Figure 5.2 . xy Note that while moments of inertia can ...
Page 281
... respect to x . Differentiate Eq . 6.6 with respect to x , to yield d3v ΕΙ , dMu = " dx3 dx But dM / dx = V , by Eq . 1.6 . Thus d3v EI , = V dx x3 ( 6.9 ) ( 6.10 ) which states that the bending stiffness ( EI ) multiplied by the third ...
... respect to x . Differentiate Eq . 6.6 with respect to x , to yield d3v ΕΙ , dMu = " dx3 dx But dM / dx = V , by Eq . 1.6 . Thus d3v EI , = V dx x3 ( 6.9 ) ( 6.10 ) which states that the bending stiffness ( EI ) multiplied by the third ...
Page 306
... respect to point B , the origin for x1 . Upon integration from zero to x1F , the right side of Eq . 6.24 represents the first area moment of the M / EI , diagram between A and B with respect to B. THEOREM II . The tangential deviation ...
... respect to point B , the origin for x1 . Upon integration from zero to x1F , the right side of Eq . 6.24 represents the first area moment of the M / EI , diagram between A and B with respect to B. THEOREM II . The tangential deviation ...
Contents
Internal Forces in Members | 1 |
Stress Strain and Their Relationships | 53 |
Stresses and Strains in Axially Loaded Members | 115 |
Copyright | |
14 other sections not shown
Other editions - View all
Common terms and phrases
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 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 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