Problem 55P

(II) How high must a pointed arch be if it is to span a space 8.0 m wide and exert one-third the horizontal force at its base that a round arch would?

Step-by-step solution

Step 1 of 5

Fload ; the load of the archs

FH(round); the horizontal force exerted from the base of the round arch.

FH(point); the horizontal force exerted from the base of the point arch.

W=8m (the span of the arches)

The span of the and load of the arch are the same. If the horizontal force exerted to the point arch is one third of the round arch. What must be the height y of the point arch?

y=? (height of the point arch)