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65MM X 4MM SHS CHORD LOAD CASE FOUR - 12 METRE SPAN 4.4kN PER NODE

E 200 GPa * :

YOUNGS MODULUS OF ELASTICITY

L 1358 mm * :

DISTANCE BETWEEN PINNED END CONNECTIONS

C 1.0 :

END CONDITIONS OF MEMBER - PINNED + PINNED

leff L C * :

leff mm 1358

EFFECTIVE LENGTH BASED ON END CONDITIONS

A 921 mm 2^* :

AREA OF CROSS SECTION 65mm X 4MM SHS

I 552830 mm 4^* :

SECOND MOMENT OF INERTIA OF CROSS SECTION

k I A / sqrt :

k mm 24.499994

LEAST RADIUS OF GYRATION

Sy 450 MPa * :

COMPRESSIVE YIELD STRENGTH

Pcr Sy Sy L * 2 π * k * / (2^C 2^E / * - (A * : kN 341.8791

PLASTIC COLUMN BEHAVIOUR

CRITICAL BUCKLING LOAD JOHNSON - EULER METHOD

π 2^E * I * leff 2^/ kN 591.727569

EULER APPROACH FOR ELASTIC COLUMN BUCKLING

BUCKLING LOAD

Fc 44 kN * :

MAXIMUM AXIAL LOAD IN COMPRESSION

Bf Pcr Fc / : 7.76998

BUCKLING FACTOR

FACTOR OF SAFETY BASED ON JOHNSON EULER METHOD

EFFECTIVE LENGTH DESIGN FACTOR BASED ON END CONDITIONS OF MEMBER