A rod ABCD made of three different cross$-$sections of the same material is under the influence of axial l$,$ ad $P=$:OkN and temperature increase of $30C.$ If the material has coeffi ient of line ar ex$,$ sion $={14}^{**}\frac{{10}^{-6}}{}C,$ and other characters tics below, calculate

a$)$ The support reactions at A and $D$

b$)$ The axial stresses at sections $x-x$ and $y-y.$

Use: $A1=600m{m}^2,E=200$Gpa,

$A2=1200m{m}^2,x={14}^{**}\frac{{10}^{-6}}{}c,$

$A3=1800m{m}^2,T=30C$

$7$ Find extension of tapering circular bar under axial pull for the following data: $d1=20mm,d2=40mm,L=600mm,E=200$GPa.$P=40kN$

$8.$ Draw the shear force and bending moment diagrams for the loading condition on the beam shown below, and determine the maximum shear force and bending moment. $($The $10kN$ force is applied at the centroid of the cross$-$section.$)$

erar

$x$

Draw SFD and BMD for the single side overhanging beam subjected to loading as shown below. Determine the absolute maximum bending moment and shear forces and mark them on SFD and BMD$.$ Also locate points of contra flexure if any.,

$2$

Draw shear force and bending moment diagrams $[$SFD and BMD$]$ for the following Cantilever beam.

$,$

Draw the shear force and bending moment diagrams for the beam subjected to the loading shown. Find the maximum bending moment.

A rod ABCD made of three different cross$-$sections of the same material is under the influence of axial l$,$ ad $P=$:OkN and temperature increase of $30C.$ If the material has coeffi ient of line ar ex$,$ sion $={14}^{**}\frac{{10}^{-6}}{}C,$ and other characters tics below, calculate

a$)$ The support reactions at A and $D$

b$)$ The axial stresses at sections $x-x$ and $y-y.$

Use: $A1=600m{m}^2,E=200$Gpa,

$A2=1200m{m}^2,x={14}^{**}\frac{{10}^{-6}}{}c,$

$A3=1800m{m}^2,T=30C$

$7$ Find extension of tapering circular bar under axial pull for the following data: $d1=20mm,d2=40mm,L=600mm,E=200$GPa.$P=40kN$

$8.$ Draw the shear force and bending moment diagrams for the loading condition on the beam shown below, and determine the maximum shear force and bending moment. $($The $10kN$ force is applied at the centroid of the cross$-$section.$)$

erar

$x$

Draw SFD and BMD for the single side overhanging beam subjected to loading as shown below. Determine the absolute maximum bending moment and shear forces and mark them on SFD and BMD$.$ Also locate points of contra flexure if any.,

$2$

Draw shear force and bending moment diagrams $[$SFD and BMD$]$ for the following Cantilever beam.

$,$

Draw the shear force and bending moment diagrams for the beam subjected to the loading shown. Find the maximum bending moment.