1. ☻ ☻ 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 )
2.5 Buckling
(Refer: B,C & A –Sec’s 10.1, 10.2)

2. 2.3 Combined Bending and Axial Loading
(Refer: B, C & A–Sec 6.11, 6.12)
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

3. 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

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

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

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