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Unformatted text preview: 3 x 2 ) x 3 (18) 3. ±or the cantilever beam loaded with a point load at the free end (see Fgure), the bending moment M 3 about the x 3-axis is given by M 3 = − F x 1 . The bending stress σ 11 is given by: M 3 x 2 σ 11 = I 3 where I 3 is the moment of inertia of the cross section about the x 3-axis. Use the two-dimensional equilibrium equations in diﬀerential form to determine the stress Felds: σ 22 and σ 12 . 2 4. For the state of stress of question 3 , determine the stress vector and its normal and shear components at the point ( L, h, 0) on the plane of normal: (a) (1 , , 0) (b) √ 1 3 (1 , 1 , − 1) Determine the principal stresses and principal directions of stress at this point. 3...
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- Fall '10
- Force, Second moment of area