The maximum pressure the bolted joint can carry is approximately 4.25
Given the bolt diameter d1 = 13.6 mm, we can find the area using the formula for the area of a circle: Ab = π * (d1/2)²
Ab = 3.14 * (13.6/2)²
Ab ≈ 144.7 mm²
Since there are 12 bolts, At = 12 * Ab.
At = 12 * 144.7
At ≈ 1736.4 mm²
Calculate the total axial force in all bolts (Ft):
Ft = 12 * Fb
Ft = 12 * 17364
Ft ≈ 208368 N
Given the inner diameter of the pressure vessel (D) is 250 mm, we can find the cross-sectional area using the formula: Av = π * (D/2)².
Av = 3.14 * (250/2)²
Av ≈ 49062.5 mm²
Calculate the maximum allowable pressure (Pmax):
Pmax = Ft / Av
Pmax = 208368 / 49062.5
Pmax ≈ 4.25 N/mm²