The transverse loading on a hollow structural section may result normal and shear stresses
simultaneously on any transverse cross section of the HSS. 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 hollow structural section occurs where
the bending moment is largest. Maximum shear stress occurs on the neutral axis
of the HSS section where shear force is maximum.
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 section A [Q_{A}] 



First moment of area for Section B [Q_{B}] 


First moment of area for section D [Q_{D}] 


Second moment of area [I_{zz}] 



Stress Calculation at Section A 

Normal stress [σ_{x_A}] 


Shear stress [τ_{xy_A}] 


Von Mises stress at A [σ_{v_A}] 


Stress Calculation at Section B 
Normal stress at B [σ_{x_B}] 


Shear stress at B [τ_{xy_B}] 


Von Mises stress at B [σ_{v_B}] 


Stress Calculation at Section D 
Normal stress at D [σ_{x_D}] 


Shear stress at D [τ_{xy_D}] 


Von Mises stress at D [σ_{v_D}] 


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.
Note: Effects of stress concentrations are not included in the calculations.