Rectangular Beam Stress Strength Design Calculator to calculate normal stress, shear stress and Von Mises stress on a given solid rectangular cross section. Calculator also draws graphics of the stress variations with respect to distance from the neutral axis.
The transverse loading on a rectangular beam may result normal and shear
stresses simultaneously on any transverse cross section of the structural
rectangular beam. The normal stress on a given cross section changes with
respect to distance y from the neutral axis and it is largest at the farthest
point from the neural axis. The normal stress also depends on the bending moment
in the section and the maximum value of normal stress in rectangular beams
occurs where the bending moment is largest. Maximum shear stress occurs on the
neutral axis of the rectangular beam section where shear force is maximum.
The design of rectangular beams is generally driven by the maximum bending moment. In the case of short structural beams, the design may be driven by the maximum shear force.
Note: V and M are the shear force and bending moment in a section as shown in
the figure.Visit "
Structural Beam Deflection and Stress Calculators". for shear force and bending moment calculations.
Note: Structural beam is assumed to be subjected a vertical shearing force in its vertical plane of symmetry.
RESULTS 
Parameter 
Value 
Cross section area [A] 



First moment of area for the portion of the cross section above point y [Q] 



Second moment of area [I_{zz}] 



Normal stress at point y [σ_{x}] 



Shear stress at point y [τ_{xy}] 


Von Mises stress at point y [σ_{v}] 


Maximum normal stress [σ_{max}] 


Maximum shear stress [τ_{max}] 


Maximum Von Mises stress [σ_{v_max}] 


Note: Use dot "." as decimal separator.
Note: Stresses are positive numbers, and these are stress magnitudes in the
beam. It does not distinguish between tension or compression of the structural
beam.
Normal Stress
Shear Stress
Von Mises Stress