Engineering Mechanics of Materials |
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Page 92
... principal strains in a plane are positive . Since the problem under consideration is one of plane strain ( i.e. , one of the three principal strains is zero ) , it follows that the labeling of the three principal strains at the point ...
... principal strains in a plane are positive . Since the problem under consideration is one of plane strain ( i.e. , one of the three principal strains is zero ) , it follows that the labeling of the three principal strains at the point ...
Page 169
... stresses for this element of segment AB and sketch the planes on which these stresses act . 4.15 Determine principal stresses from Mohr's circle constructions for the shaft depicted in Figure H4.3 : ( a ) An element on the outside ...
... stresses for this element of segment AB and sketch the planes on which these stresses act . 4.15 Determine principal stresses from Mohr's circle constructions for the shaft depicted in Figure H4.3 : ( a ) An element on the outside ...
Page 370
... principal stress is σ1 is given by Eq . 3.5 to be uσ11 / 2 . The strain energy per unit volume stored in a member ... strains in terms of the principal stresses from Eq . 2.30 ' leads , after simplification , to the total strain energy ...
... principal stress is σ1 is given by Eq . 3.5 to be uσ11 / 2 . The strain energy per unit volume stored in a member ... strains in terms of the principal stresses from Eq . 2.30 ' leads , after simplification , to the total strain energy ...
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 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