Analyse the statically determinate bar illustrated below by expressing the loading as a single function using Macaulay brackets and the Dirac delta, integrating to find the axial force and integrating again to find the displacements, applying the boundary conditions appropriately. Find the axial force in the bar at point A and the displacement at point B$.$ The cross section of the bar is constant with $EA=15000kN.a=5m,b=5m,c=4m$ and $d=5m.w1=10k\frac{N}{m},w2=18k\frac{N}{m},P1=10kN$ and $P2=18kN.$

Multiple Choice Answers

Multiple Choice Answer: Axial force at point A $($ kN $,$ tension positive$)$:

a$.36\mathrm{.}8$

b$.31\mathrm{.}97$

c$.26\mathrm{.}96$

d$.31\mathrm{.}54$

Multiple Choice Answer: Displacement at point B $($ mm $,$ positive to right$)$:

a$.0\mathrm{.}077$

b$.0\mathrm{.}0682$

c$.0\mathrm{.}1276$

d$.0\mathrm{.}0108$