fillet welds under torsional loads calculator

enter the value and click "calculate", the calculation result will be displayed.

`T_[shear]=F/[2×H×L] `
`J_[group]=2×([L×H^3]/12+[H×L^3]/12+L×H×d_0^2)`
`r_0=√(L/2)^2+d_0^2 `
`T_[t o rsion]=[F×L_0×r_0]/J_[group] `
`α=tan^-1([0.5×L]/d_0) `
`T_[max]^2=T_[shear]^2+T_[t o rsion]^2-2×T_[shear]×T_[t o rsion]×cos(180-α)`
f = applied force
l = weld length
h = weld throat depth
Tcut = weld shear stress due to shear forces
d0 = distance from the center of mass of the weld group to the center line of the weld
L0 = distance from the center of mass of the weld group to the applied force
Jgroup = polar moment of inertia
r0 = radial distance to the furthest point of the weld
Ttwist = shear stress due to torsion during welding
α> = closed angle
Tmax = maximum shear stress in the weld

enter a value:

weld length (l):
Cm
welding throat depth (d):
Cm
applied force (f):
N
the distance from the center of mass of the weld group to the applied force (l0):
Cm
the distance from the centroid of the weld group to the center line of the weld (d0):
Cm

calculation result:

weld shear stress due to shear force:
106 N / m2
polar moment of inertia:
10-6 N / m4
shear stress due to torsion during welding:
106 N / m2
closed angle:
°
maximum shear stress of weld:
106 N / m2
fillet welds under torsional loads calculator

fillet welds are used in lap joints, fillet joints and t-joints. a fillet weld is roughly triangular in cross-section, but its shape is not necessarily a right triangle or an isosceles triangle. the weld metal is deposited on the two components being assembled and penetrates and fuses with the parent metal to form the corner where the joint is formed.

this calculator is used to calculate the stresses developed in welds.

welds of approximately triangular cross-section join two surfaces approximately at right angles to each other in an overlap joint.

stress is the average force measured per unit area. this is a measure of the total internal force intensity acting on the entire interior surface of the virtual body, as a reaction to externally applied forces and physical forces.

in the stress state of shear stress, the stress is parallel or tangential to the surface of the material, as opposed to normal stress, when the stress is perpendicular to the surface.

the polar moment of inertia is a quantity used to predict the torsional resistance of an object in constant circular cross-section without significant warping or out-of-plane deformation. it is used to calculate the angular displacement moment of an object. it is similar to the moment of inertia, which is the ability of an object to resist bending and is required to calculate displacement.
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