Stresses in Highly Curved Elements of Round Cross Sections

If the construction of the furniture piece consists of elements of large curvatures and round cross sections (Fig. 6.29), which takes place in the case of curved or curved glued furniture, then the stresses can be determined from the equations given by Korolew (1973):

Fig. 6.29 Indications for a bent rod of circular cross section


p _ d

Po _ 4(2R – d – 2fRr) ’

R + r a

e = ~^2~ po’ y = R >

M bending moment,

d diameter of the cross section of the rod,

A area of the cross section,

R radius of the curvature of the rod,

r distance of extreme fibres from the centre of the rod curvature.