
Calculation
No.



CALCULATION SHEET

Project No.



Metric units (SI)






onlinestructuraldesign.com


Project
Title:



Calc. By

Date

Rev.













Subject/Feature:



Checked By

Date

























Simple Beam 
Uniformly Distributed Load
















Input

Output



Beam
characteristics

Shears,
Moments and Deflections



Uniformly
distributed load













Beam
characteristics




w =


kN/m

uniformly distributed load


L =


m

beam length




E =


MPa

element elasticity modulus


I =


cm^{4}

element moment of inertia




x =


m

position for beam internal forces calculation




























Shears, Moments and
Deflections




w_{t}=

w*L=


kN

total
equivalent uniform load













R = V =

w*L/2=


kN

support
reactions / end shear













V_{x}=

w*(L/2x)=


kN

shear at x
distance













M_{max}=

w*L^{2}/8=


kN*m

maximum
moment













M_{x}=

w*x*(Lx)/2=


kN*m

moment at x
distance













D_{max}=

5*w*L^{4}/(384*EI)=


mm

maximum
deflection













D_{x}=

w*x*(L^{3}2*L*x^{2}+x^{3})/24*EI=


mm

deflection at
x distance

















































References:












Manual of Steel Construction  American Institute of Steel
Construction Inc., 2005

