An unequal angle S$275$ L $150\backslash$times $100\backslash$times $10\backslash$times $19$ is used as the diagonal member in a plane truss. The diagonal member is in tension. For ease of transportation, the truss is fabricated in two segments and the line of separation cuts acrossthis diagonal member. Ag$=2420$ mm$^2$

Determine:

$($a$)$ The tensile capacity assuming bolted splice using one line of two M$20$ bolts on the longer leg only $($the spacing between the bolts equals $90$ mm$)$

$($b$)$ The tensile capacity assuming bolted splice using one line of three M$20$ bolts on the shorter leg only $($the spacing between the bolts equals $90$ mm$)$

$($a$)367$ kN; $($b$)367$ kN

$($a$)447$ kN; $($b$)447$ kN

$($a$)447$ kN; $($b$)367$ kN

$($a$)605$ kN; $($b$)605$ kN