Arches - Structural and Stress Analysis - page 147

20 kN/m

C

A B

F IGURE P.6.1

P.6.2 Figure P.6.2 shows a three-pinned arch of radius 12m. Calculate the normal
force, shear force and bending moment at the point D.

Ans .14 . 4 kN (compression), 5 . 5 kN, 21 . 6 kNm (hogging).

3m 2m

20 kN

C

D

6m

8m

B

A

F IGURE P.6.2

P.6.3 The three-pinned arch shown in Fig. P.6.3 is parabolic in shape. If the arch carries
a uniformhorizontally distributed load of intensity 40 kN/mover the part CB, calculate
the bending moment at D.

Ans . 140 . 9 kNm (sagging).

4m

C

D

3m

B

A

10 m 7m

F IGURE P.6.3

P.6.4 In the three-pinned arch ACB shown in Fig. P.6.4 the portion AC has the shape
of a parabola with its origin at C, while CB is straight. The portion AC carries a
uniformhorizontally distributed load of intensity 30 kN/m, while the portionCBcarries