☻ ☻ 2.0 Bending of Beams sx 2.1 Revision – Bending Moments 2.2 Stresses in Beams x sx Mxz P 2.3 Combined Bending and Axial Loading (Refer: B,C & A –Sec’s 6.11, 6.12) P1 P2 2.4 Deflections in Beams (Refer: B,C & A –Sec’s 7.1-7.4) 2.5 Buckling (Refer: B,C & A –Sec’s 10.1, 10.2)
2.3 Combined Bending and Axial Loading (Refer: B, C & A–Sec 6.11, 6.12) 2.3.1 Superposition How does axial stress distribution look? L P1 i) Axial Loading x y z P1 P2 x y Mxz Fxx Qxy P1.L P2 x P2 A P1 +ve Fxx=P2 Fxx Normal Force Diagram x y x
Bending Moment Diagram ii) Bending P1 L y Mxz P1.L P2 P2 x Fxx y P1 x P1 z x P2 Bending Moment Diagram Mxz x A -ve -P1.L y x NA
+ = Using SUPERPOSITION: y P1 z x P2 Note: at x=0 and y’=+yMax A (at the fixed end) x y y NA + = NA
2.3.2 Eccentric Axial Loading z o y P P o x z y x P C L y P e y x C L Mxz=Pe P
x C L y x C L y x C L y NA