Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force

Figure 4

Variation of physical quantities of a functionally graded curved beam with nondimensional coordinate ρ and a tension force applied at the free end, when θ = π/3: (a) stress (Pa); (b) stress τ_rθ (Pa); (c) displacement (m); (d) displacement u_θ (m); (e) stress σ_θ (Pa).

(a)

(b) ρ = (r – a)/a

(c) ρ = (r – a)/a

(d) ρ = (r – a)/a

(e) ρ = (r – a)/a