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2 .2 Stresses in Beams

s x. s x. P. x. M xz. M xz. P 1. P 2. 2 .0 Bending of Beams. ☻. 2 .1 Revision – Bending Moments. ☻. 2 .2 Stresses in Beams. 2 .3 Combined Bending and Axial Loading. (Refer: B,C & A – Sec’s 6.11, 6.12 ). 2 . 4 Deflections in Beams. (Refer: B,C & A – Sec’s 7.1-7.4 ).

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2 .2 Stresses in Beams

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  1. sx sx P x Mxz Mxz P1 P2 2.0 Bending of Beams ☻ 2.1 Revision – Bending Moments ☻ 2.2 Stresses in Beams 2.3 Combined Bending and Axial Loading (Refer: B,C & A –Sec’s 6.11, 6.12) 2.4Deflections in Beams (Refer: B,C & A –Sec’s 7.1-7.4) 2.5Buckling (Refer: B,C & A –Sec’s 10.1, 10.2)

  2. P1 L Mxz P2 P1.L P2 y A Fxx x Qxy x P1 y Fxx=P2 Fxx y z +ve x x x 0 Normal Force Diagram 2.3Combined Bending and Axial Loading (Refer: B, C & A–Sec 6.11, 6.12) 2.3.1 Superposition How does axial stress distribution look? P1 i) Axial Loading P2

  3. Mxz Bending Moment Diagram x 0 -ve y x ii) Bending P1 L y Mxz P2 P1.L P2 x P1 Fxx y x z P1 x P2 A -P1.L NA

  4. Note: at x=0 and y’=+yMax (at the fixed end) y y + = x NA NA Using SUPERPOSITION: P1 y z x P2 A

  5. y y y z x o C L e z P o P x P y Mxz=Pe P P P x C L 2.3.2 Eccentric Axial Loading

  6. y y x x C C L L y NA x C L

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