(Solved): Use superposition method to determine the deflection wb at point B. EI is known as a constant. Ple ...

Use superposition method to determine the deflection wb at point B. EI is known as a constant.

Please apply deflection and slope formula on appendix attached.

Use superposition method to determine the deflection wp at point B. El is known as a constant. (Appendix is attached in the next slide.) F=2qa q a/2 A a b C Beam and Loading Elastic Curve y O 6 B O y 0 y y a ?3 L I L APPENDIX D Beam Deflections and Slopes Maximum Deflection Slope at End PL³ PL² 3EI 2EI 6EI ML EI L ymax b x max mas X max B x max wL SEI ML² 2EI PL³ 48EI For a > b: Pb(L²-b²)³/2 9V/3EIL at x 5wL 384EI ML² 9V/3EI L²-b² 3 PL² 16EI 0? 08 + Pb(L²-b²) 6EIL Pa(L²-a²) 6EIL wL3 24EI 0? = + 0B ML 6EI ML 3EI Equation of Elastic Curve y = (x³ - 3Lx²) W y = 24EI M y = 2EI For x ?L: P y = (4x³ - 3L²x) 48EI For x < a: Pb y = -[r³ - (L²-b²)x] 6EIL Pa²b² For xa: y = 3EIL W y= (x¹ - 2Lx³ + L³x) 24EI M (x³ - L²x) 6EIL 6EI (x² - 4Lx³ + 6L²x²)