$--$Given Values$--$

Cylindrical Rod Material $=$ Tungsten

Load F $-$ N$($lbf$)=8054(1811)$

Length, l $($mm$)=346$

Diameter $($mm$)=14\mathrm{.}5$

Elastic Reduction $(10-3$mm$)=5\mathrm{.}1$

Original Diameter $($mm$)=12\mathrm{.}1$

Original Gage Length $($mm$)=50\mathrm{.}18$

Final Diameter $($mm$)=7\mathrm{.}3$

Final Gage Length $($mm$)=70\mathrm{.}82$

Yield Strength $($MPa$)=521$

Elastic Modulus $($GPa$)=250$

Problem $1$:

A cylindrical rod of the material listed above is to be subjected to the load F$,$ what must be the diameter to allow an elongation of $0\mathrm{.}50$ mm $(0\mathrm{.}020$ in$.)$ if the rod is of the given length, l$?($Write your answer in mm$)$

Your Answer $=$

$0\mathrm{.}154$

Problem $2$:

A cylindrical bar of steel with the given diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that will produce an elastic reduction of the amount shown above in the diameter. $($ Write your answer in Newtons$)$

Your Answer $=$

Problem $3$:

A cylindrical metal specimen having an original diameter and gauge length listed above is pulled in tension until fracture occurs. The diameter at the point of fracture and the fractured gauge length are also listed above.

Calculate the ductility in terms of percent reduction of area $(\%$ ROA$).$

Your Answer $=$

Problem $4$:

A cylindrical metal specimen having an original diameter and gauge length listed above is pulled in tension until fracture occurs. The diameter at the point of fracture and the fractured gauge length are also listed above.

Calculate the ductility in terms of percent elongation $(\%$ EL$).$

Your Answer $=$

Problem $5$:

An alloy has a yield strength of and an elastic modulus listed above.

Calculate the modulus of resilience $($Ur$)$ for this alloy $[$in J$/$m$3($which is equivalent to Pa$)]$ given that it exhibits linear elastic stress$-$strain behavior. $($Answer in Engineering Notation$)$