A parabolic 3-hinged arch of span 'l'issubjected to an u.d.l of w/m run over the entire span. Find the horizontal thrust and bending moment at any section XX.

 A parabolic 3-hinged arch of span 'l'issubjected to an u.d.l of w/m run over the entire span. Find the horizontal thrust and bending moment at any section XX.

 

Solution:

(a) Reactions (Vertical) at the supports:

 

    As the loading is symmetrical, vertical reactions at A and B are equal VA = VB = Total load/2 = wl/2

 

    (b) Horizontal thrust:

Taking moments about the crown point C,

     (c)  Bending moment at xx;