Chute Calculation Example

Chute Verification CALCULATIONS INPUT Steel plate properties Chute steel plate yield stress Bending reduction factor Shear reduction factor for weld Weld nominal tensile stress (E48XX)

fy = øb = øs = fuw =

250 MPa 0,9 0,8 480 MPa

(ref. SPEC-007-M0004) (ref. AS 4100-1998 Table 3.4) (ref. AS 4100-1998 Table 3.4) (ref. AS 4100-1998 Table 9.7.3.10)

Iron Ore properties Bulk ore unit weight Bulk ore internal friction angle Angle of wall friction Wall friction coefficient

γb = øi = øw = μ=

27 kN/m3 38 ° 26 ° 0,49

= TAN(øw*π/180)

(ref. FUSP-080-M-00004 Table 2.2.1) (ref. FUSP-080-M-00004) (ref. AS 3774-1996 Table 3.1) (ref. AS 3774-1996 Eq. 6.2.3.3)

9 3,5 2,8 0,9 10 1000 1140 85 10 17 2500 200 1600 1500

(estimated from 087-M-12233) (estimated from 087-M-12234) (estimated from 087-M-12233) (estimated from 087-M-12234) (ref. 087-M-12233) (ref. 087-M-12234) (ref. 087-M-12234) (ref. 087-M-12234) (ref. 087-M-12234) (ref. 087-M-12234) (estimated from 087-M-12233) (ref. AS 3774-1996 Table 2.2) (estimated from 087-M-12233) (estimated from 087-M-12233)

Chute properties P555 Head Chute weight P555 Transfer Chute weight P555 Head Chute blocked volume P555 Transfer Chute blocked volume Chute steel plate thickness Maximum steel plate unstiffened span Unsupported stiffener span Stiffener height Stiffener thickness Transfer chute half angle Fill height above max. unstiffened span Char. dimension of container cross-section Transition point depth below effective surface Maximum depth below transition point Support properties Number of collaborating supports Support depth Support thickness Plate-to-support fillet weld size

Wch = Wtc = Vch = Vtc = t= Lus = Ls = hs = ts = α= hf = r_c = z= zb =

ns = hb = tb = es =

kN kN m3 m3 mm mm mm mm mm ° mm mm mm mm

4 235 mm 10 mm 6 mm

STEEL PLATE CALCULATIONS Initial normal pressure ratio Lateral pressure ratio Characteristic depth Initial normal pressure at transition level Maximum normal pressure Ultimate moment in steel plate Nominal steel plate moment capacity Steel plate bending check

kh = 0,39 k= 0,35 zo = 1172 pvi = 8246 pnh = 18782 Mup = 2817 Mnp = 6250 øb*Mnp/Mup =

STIFFENER CALCULATIONS Linear load on stiffener Ultimate moment in stiffener Stiffener slenderness Plasticity limit Yield limit Stiffener section elastic modulus Compact section eff. section modulus Striffener effective section modulus Stiffener nominal moment capacity Stiffener bending check SUPPORT CALCULATIONS Total weight Ultimate load per collaborating support Nominal weld capacity per support Support weld check

(estimated from 087-M-12233) (ref. 087-M-12233) (ref. 087-M-12233) Assume minimum fillet one side

= TAN(π*α/180)/(TAN(π*α/180)+μ) mm Pa Pa N*m/m N*m/m 2,0

= r_c/(μ*k) = γb*r_c*(1-EXP(-z/zo))/μ = kh*(γb*zb+pvi) = 1.2*pnh*(Lus*10^-3)^2/8 = t^2/4*fy > 1,0 OK

qs = 9391 Mus = 1831 λs = 8,5 λep = 8 λey = 15 Zs = 12042 Zc = 18063 Ze = 17632 Mns = 4408 øb*Mns/Mus =

N/m N*m

= pnh*Lus*10^-3/2 = 1.2*qs*(Ls*10^-3)^2/8 = hs/ts*SQRT(fy/250)

mm3 mm3 mm3 N*m 2,2

= hs^2*ts/6 = hs^2*ts/4 = Zs+((λey-λs)/(λey-λep)*(Zc-Zs)) = fy*Ze*10^-3 > 1,0 OK

Wt = 112,4 Vub = 33,72 Vnb = 478,6 øs*Vnb/Vub =

kN kN kN 11,4

= Wch+Wtc+γb*(Vch+Vtc) = 1.2*Wt/ns = 0.6*fuw*tb/SQRT(2)*hb*10^-3 > 1,0 OK

(ref. AS 3774-1996 Eq. 6.2.3.3) (ref. AS 3774-1996 Table 6.3) (ref. AS 3774-1996 Eq. 6.2.1.1) (ref. AS 3774-1996 Eq. 6.2.1.1) (ref. AS 3774-1996 Eq. 6.2.3.3) Calc'd as simple supported beam

Assume uniforme pressure Calc'd as simple supported beam (ref. AS 4100-1998 Clause 5.2.2) (ref. AS 4100-1998 Table 5.2) (ref. AS 4100-1998 Table 5.2)

(ref. AS 4100-1998 Clause 5.2.4)

(ref. AS 4100-1998 Clause 9.7.3.10)