Question $2($Total $25$ Marks$)$

Figure $2$ shows a rigid bar ABCD supported by two vertical rods$/$bars $BE$ and $DF$ and hinged support

at A as shown in Figure $2.$ The rods are connected by hinged$/$pinned supports at B$,$ E$,$ D and F$.$ Both

rods are of length $7m.$ There is a load $P$ at $C.$ Rods BE and DF both have a uniform rectangular

cross$-$section of width $10mm$ and thickness $5mm.$ The elastic modulus of the both rods is $E=200,000$

MPa.

I. Write the equations of equilibrium.

II$.$ Write the equation of compatibility involving the extension of the rods.

III. If $P=50kN,$ calculate the reaction at A and the forces in the rods.

IV$.$ What is the maximum stress in the rods?

V$.$ What is the displacement at D$?$Figure $2$ shows a rigid bar ABCD supported by two vertical rods$/$bars BE and DF and hinged support

at A as shown in Figure $2.$ The rods are connected by hinged$/$pinned supports at B$,$ E$,$ D and F$.$ Both

rods are of length $7$m$.$ There is a load P at C$.$ Rods BE and DF both have a uniform rectangular

cross$-$section of width $10$mm and thickness $5$ mm$.$ The elastic modulus of the both rods is E$=200,000$

MPa.

I. Write the equations of equilibrium.

II$.$ Write the equation of compatibility involving the extension of the rods.

III. If P$=50$kN$,$ calculate the reaction at A and the forces in the rods.

IV$.$ What is the maximum stress in the rods?

V$.$ What is the displacement at D$?$