Process$-$Oriented Problem $06\mathrm{.}003-$ The Howe bridge truss

The Howe bridge truss shown is subjected to the given loading. It is discovered that the material out of which some of the members of the truss are made might not be strong enough to support the forces acting on them. The main members in question are members $HD,CD,$ and $GD$ of the truss. It is desired to determine the force in each of these three members, $HD,CD,$ and $GD,$ so the strength requirements of these three members can be known and compared to the strength capacity of the material out of which these members were constructed.

where $P_1=50kN,P_2=26kN,P_3=34kN,P_4=54kN,x=28m,$ and $y=7m$

Process$-$Oriented Problem $06\mathrm{.}003.$g $-$ Method of sections

Now that the truss has been divided into two sections, the left$-$hand section, section ACHJ, will be used for analysis. Using this section of the truss, determine the force in member HD of the truss. Is this member in tension or compression?

The force in the member is $$ KN$.($Round the final answer to three decimal places.$)$

The member is in compression $$Process$-$Oriented Problem $06\mathrm{.}003-$ The Howe bridge truss

The Howe bridge truss shown is subjected to the given loading. It is discovered that the material out of which some of the members of the truss are made might not be strong enough to support the forces acting on them. The main members in question are members $HD,CD,$ and $GD$ of the truss. It is desired to determine the force in each of these three members, $HD,CD,$ and $GD,$ so the strength requirements of these three members can be known and compared to the strength capacity of the material out of which these members were constructed.

where $P_1=50kN,P_2=26kN,P_3=34kN,P_4=54kN,x=28m,$ and $y=7m$

Process$-$Oriented Problem $06\mathrm{.}003.$g $-$ Method of sections

Now that the truss has been divided into two sections, the left$-$hand section, section ACHJ, will be used for analysis. Using this section of the truss, determine the force in member HD of the truss. Is this member in tension or compression?

The force in the member is $$ KN$.($Round the final answer to three decimal places.$)$

The member is in compression HHDD && CCDD $$