MONORAIL BEAM ANALYSIS 
For Sshaped Underhung Monorails Analyzed as SimpleSpans 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 SimpleSpan, 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/(bftw) 





Cxo = 


Cxo = 1.096+1.095*l+0.192*e^(6.0*l) 



Cx1 = 


Cx1 = 3.9654.835*l3.965*e^(2.675*l) 



Czo = 


Czo = 0.9811.479*l+1.120*e^(1.322*l) 



Cz1 = 


Cz1 = 1.8101.150*l+1.060*e^(7.70*l) 













Bending Moments for SimpleSpan: 







x = 

ft. 


Mx = 

ftkips 





My = 

ftkips 
















Lateral Flange Bending Moment from Torsion for SimpleSpan: 
(per USS Steel Design Manual, 1981) 
e = 

in. 



at = 




Mt = 

ftkips 














Xaxis Stresses for SimpleSpan: 







fbx = 

ksi 






Lb/rt = 








Fbx = 

ksi 











SR = 











Yaxis Stresses for SimpleSpan: 







fby = 

ksi 






fwns = 

ksi 



fby(total) = 

ksi 






Fby = 

ksi 













SR = 

Combined Stress Ratio for SimpleSpan: 






S.R. = 















SR = 

Vertical Deflection for SimpleSpan: 







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 = 

ftkips 





My = 

ftkips 
















Lateral Flange Bending Moment from Torsion for Overhang: 
(per USS Steel Design Manual, 1981) 
e = 

in. 



at = 




Mt = 

ftkips 














Xaxis Stresses for Overhang: 







fbx = 

ksi 






Lbo/rt = 








Fbx = 

ksi 










SR = 

Yaxis 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^2sx*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^2sx*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^2sx*sz+3*txz^2) 









SR = 























































































































































































SBeam Configurations 















