S-Flange Monorail Beam Nalysis Calculator

Beam Deflection and Stress Formula and Calculators

Description and References for This Calculator

MONORAIL BEAM ANALYSIS
For S-shaped Underhung Monorails Analyzed as Simple-Spans with / without Overhang
Per AISC 9th Edition ASD Manual and CMAA Specification No. 74 (2004)
Input:
Monorail Size:
Select:
Design Parameters:
Beam Fy =
ksi
Beam Simple-Span, L = ft.
Unbraced Length, Lb = ft.
Bending Coef., Cb =
Overhang Length, Lo = ft.
Unbraced Length, Lbo =
ft.
Bending Coef., Cbo =
Lifted Load, P = kips A = in.^2 d/Af =
Trolley Weight, Wt = kips d = in. Ix = in.^4
Hoist Weight, Wh = kips tw = in. Sx = in.^3
Vert. Impact Factor, Vi = % bf = in. Iy = in.^4
Horz. Load Factor, HLF = % tf = in. Sy = in.^3
Total No. Wheels, Nw =
k= in. J = in.^4
Wheel Spacing, S = ft. rt = in. Cw = in.^6
Distance on Flange, a = in.
Support Reactions:
Results:
RR(max) =
RL(min) =
Parameters and Coefficients:
Pv = kips
Pw = kips/wheel
Ph = kips
ta = in.
l =
l = 2*a/(bf-tw)
Cxo =
Cxo = -1.096+1.095*l+0.192*e^(-6.0*l)
Cx1 =
Cx1 = 3.965-4.835*l-3.965*e^(-2.675*l)
Czo =
Czo = -0.981-1.479*l+1.120*e^(1.322*l)
Cz1 =
Cz1 = 1.810-1.150*l+1.060*e^(-7.70*l)
Bending Moments for Simple-Span:
x = ft.
Mx = ft-kips
My = ft-kips
Lateral Flange Bending Moment from Torsion for Simple-Span: (per USS Steel Design Manual, 1981)
e = in.
at =
Mt = ft-kips
X-axis Stresses for Simple-Span:
fbx = ksi
Lb/rt =
Fbx = ksi
SR =
Y-axis Stresses for Simple-Span:
fby = ksi
fwns = ksi
fby(total) = ksi
Fby = ksi
SR =
Combined Stress Ratio for Simple-Span:
S.R. =
SR =
Vertical Deflection for Simple-Span:
Pv = kips
D(max) = in. D(max) =
D(ratio) =
D(ratio) = L*12/D(max)
D(allow) = in. D(allow) = L*12/450
SR =
Bending Moments for Overhang:
Mx = ft-kips
My = ft-kips
Lateral Flange Bending Moment from Torsion for Overhang: (per USS Steel Design Manual, 1981)
e = in.
at =
Mt = ft-kips
X-axis Stresses for Overhang:
fbx = ksi
Lbo/rt =
Fbx = ksi
SR =
Y-axis Stresses for Overhang:
fby = ksi
fwns = ksi
fby(total) = ksi
Fby = ksi
SR =
Combined Stress Ratio for Overhang:
S.R. =
SR =
Vertical Deflection for Overhang:
Pv = kips
D(max) = in. D(max) =
D(ratio) =
D(ratio) = Lo*12/D(max)
D(allow) = in. D(allow) = Lo*12/450
SR =
Bottom Flange Bending (simplified):
be = in.
tf2 = in.
am = in.
Mf = in.-kips
Sf = in.^3
fb = ksi
Fb = ksi
SR =
Bottom Flange Bending per CMAA Specification No. 74 (2004): (Note: torsion is neglected)
Local Flange Bending Stress @ Point 0:
(Sign convention: + = tension, - = compression)
sxo = ksi sxo = Cxo*Pw/ta^2
szo = ksi szo = Czo*Pw/ta^2
Local Flange Bending Stress @ Point 1:
sx1 = ksi sx1 = Cx1*Pw/ta^2
sz1 = ksi sz1 = Cz1*Pw/ta^2
Local Flange Bending Stress @ Point 2:
sx2 = ksi sx2 = -sxo
sz2 = ksi sz2 = -szo
Resultant Biaxial Stress @ Point 0:
sz = ksi sz = fbx+fby+0.75*szo
sx = ksi sx = 0.75*sxo
txz = ksi txz = 0?? (assumed negligible)
sto = ksi sto = SQRT(sx^2+sz^2-sx*sz+3*txz^2)
SR =
Resultant Biaxial Stress @ Point 1:
sz = ksi sz = fbx+fby+0.75*sz1
sx = ksi sx = 0.75*sx1
txz = ksi txz = 0?? (assumed negligible)
st1 = ksi st1 = SQRT(sx^2+sz^2-sx*sz+3*txz^2)
SR =
Resultant Biaxial Stress @ Point 2:
sz = ksi sz = fbx+fby+0.75*sz2
sx = ksi sx = 0.75*sx2
txz = ksi txz = 0?? (assumed negligible)
st2 = ksi st2 = SQRT(sx^2+sz^2-sx*sz+3*txz^2)
SR =
S-Beam Configurations

Contributed by:

Harsh Murugesen
Pune, Maharasha India