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Consider the steel truss shown in $($Figure $1)$ to answer Parts A$,$ B$,$ and C below, where $P_1=20kN$ and $P_2=52kN.$ The cross$-$sectional area of each member is $A=250m{m}^2,$ and $E=400$ GPa GPa

Part A $-$ Horizontal displacement

Use the method of virtual work to determine the horizontal displacement of joint $D$ due to the applied loads. Let a positive answer represent a displacement to the right and a negative answer represent a displacement to the left.

Express your answer in the appropriate units to three significant figures.

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${}_{D_h}=$

Part B $-$ Vertical displacement

Use the method of virtual work to determine the vertical displacement of joint $E$ due to the applied loads. Let a positive answer represent an upward displacement and a negative answer represent a downward displacement.

Express your answer in the appropriate units to three significant figures.

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Part C $-$ Change in temperature

Determine the vertical displacement of joint $E$ if$,$ in addition to the applied loads, members $BE$ and $CE$ experience a temperature increase of $T=28C.$ The steel's coefficient of thermal expansion used in the truss is $1\mathrm{.}20\frac{{10}^{-5}}{K}.$ The truss is still subjected to external loads $P_1$ and $P_2.$ Let a positive answer represent an upward displacement and a negative answer represent a downward displacement.

Express your answer in the appropriate units to three significant figures.

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${}_{E_v}=$

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$1$ of $1$