3. Two solid bars are joined and loaded as shown. Rod 1 of length $L_1 = 0.5$ m is made of steel ($E_1 = 200$ GPa, $A_1 = 100$ mm$^2$) and rod 2 of length $L_2 = 1$ m is made of brass ($E_2 = 100$ GPa, $A_2 = 50$ mm$^2$). Determine the displacement at the point of application of load $P$ and the stresses in each of the two bars for an applied load of $P = 90$ kN as shown.
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We need to use the compatibility equation, which states that the total displacement of the system is zero since both ends are fixed. First, let's define the known values and convert them to consistent units (SI units: meters, Pascals, Newtons). Given: Rod 1 Show more…
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