answer all parts and label answers a ) , b), c), d) ,e) ,f) ,g) ,h) ,i), j)

You need to check the steel truss shown in the figure below. The bottom and top chords of the truss are connected to members that are perpendicular to the truss at the ridge of the truss and and where the truss connects to the columns (these are indicated with '*' and provide restraint perpendicular to the plane of the truss).

The properties are given below:

The depth of the truss d = 2 m and the truss spans L= 16 m

E = 210 000 MPa, fy =355 MPa

use curve 'a' on the buckling chart below to calculate the ultimate capacity.

A = 4000 mm²

I_yy =20 x 10⁶ mm⁴, I_zz = 1.3997760358 x 10⁶ mm⁴

Z_yy = 1071 x 10³ mm³, Z_zz = 157 x 10³ mm³

S_yy = 1211 x 10³ mm³_, S_zz = 243 x 10³ mm³

a) can the top chord can resist an ultimate compressive force of N_Ed = 200 kN.

b) The member can resist the applied ultimate compressive force : true or false

c) calculate The ultimate capacity of the member in compression N_c,Rd in kN

d) calculate The Euler buckling load about the y-y axis, (Ncry) in kN

e) calculate The Euler buckling load about the z-z axis, (Ncrz ) in kN

f) calculate the effective length about the y-y axis, (Ley) in metres

g) calculate the effective length about the z-z axis, (Lez) in metres

h) calculate the critical Euler buckling load used to calculate non-dimensional slenderness: (Ncr) in kN

i) calculate the critical Euler buckling load used to calculate non-dimensional slenderness: (Ncr) as a decimal

j) The reduction factor, (chi) as a decimal

Indicates out of plane lateral restraint Top chord A DA * Bottom chord Z ----------- Z Section A-A L TENSION MEMBERS BUCKLING CHART 1,1 1,0 an 0,9 al 0,8 0,7 0,6 Reduction factor X 0,5 0,4 0,3 0,2 0.1 0,0 0,0 0,2 0,4 0,6 0,8 2,0 2,2 2,4 2,6 2,8 3,0 1,0 1,2 1,4 1,6 1,8 Non-dimensional slenderness Indicates out of plane lateral restraint Top chord A DA * Bottom chord Z ----------- Z Section A-A L TENSION MEMBERS BUCKLING CHART 1,1 1,0 an 0,9 al 0,8 0,7 0,6 Reduction factor X 0,5 0,4 0,3 0,2 0.1 0,0 0,0 0,2 0,4 0,6 0,8 2,0 2,2 2,4 2,6 2,8 3,0 1,0 1,2 1,4 1,6 1,8 Non-dimensional slenderness