Assuming the structure does not deform out-of-plane, and that none of the members buckle, find the force and stress that each member named in the table below carries and the change in length of each of those members if they are composed of structural steel.
Assuming the structure does not deform out-of-plane, and that none of the members buckle, find the force and stress that each member named in the table below carries and the change in length of each of those members if they are composed of structural steel.
a | b | c | d | h | F1F1 | θθ | F2F2 | ϕϕ |
1.9 m | 3.4 m | 2.4 m | 5.2 m | 9.5 m | 6 kN | 54 deg | 6.7 kN | 23 deg |
Members:
(Denote tension forces, tensile stresses, and elongations with positive values; compressive forces, compressive stresses and compactions with negative values.)
Member | Cross- Sectional Area (mm2)(mm2) |
Force | Stress | Change in Length |
BCBC | 260 | |||
BPBP | 200 | |||
PQPQ | 260 | |||
PCPC | 200 | |||
CDCD | 260 | |||
DPDP | 200 | |||
NPNP | 260 |