Question $2$

A statically determinate three$-$hinged arch is shown below, $L=2m$ and $P=3kN.$ Compute the

support reactions and internal forces at Sections $C^{-}$and $C^{+}.$

$($All reaction force and internal force answers to be entered as absolute values.$)$a$)$

Analyse the whole arch to determine the vertical reaction forces:

RAy $=$

kN

Answer for part Gap $2$

RDy $=$

kN

Answer for part Gap $3$

Unanswered

b$)$

Analyse either freebody AC or CD to determine the horizontal reaction forces:

RAx $=$

kN

Answer for part Gap $2$

RDx $=$

kN

Answer for part Gap $3$

Unanswered

c$)$

Use freebody AC$-$ to determine the following: $($note that subscript CL represents left of C$,$ i$.$e$.,$ C$-)$

Internal axial force

NCL $=$

kN

Answer for part Gap $3$

$($T$)$

$($C$)$

Internal shear force

VCL $=$

kN

Answer for part Gap $4$

Internal moment

MCL $=$

kNm

Answer for part Gap $5$

N$/$A

Unanswered

d$)$

Use freebody DC$+$ to determine the following: $($note that subscript CR represents right of C$,$ i$.$e$.,$ C$+)$

Internal axial force

NCR $=$

kN

Answer for part Gap $3$

$($C$)$

$($T$)$

Internal shear force

VCR $=$

kN

Answer for part Gap $4$

Internal moment

MCR $=$

kNm

Answer for part Gap $5$

N$/$A