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Calculation of the pressure on the head when calculating film stress

2022-07-01View Original

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Dear teachers, is the component of the internal pressure along the axis of the head in the first diagram (pi/4)Di2P calculated using the formula marked with a circle in Figure 2? At first, when looking at the first diagram, I thought that the axial resultant force acting on the head under internal pressure was P times the area of the circular projection of the head. However, the direction of P is perpendicular to the inner surface of the head at every point, which is not consistent with the axial direction; I couldn’t figure this out. Today I saw the second picture. The (Pi/4)D2P in the first diagram should be calculated using the integral formula in the second diagram, right? The integral in the second figure should be the sum of the pressure components along the axial direction
Reply #22022-07-02
Your understanding is correct; it’s the result of integration

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