(c) You learn that the assumption of uniform stress distribution is inaccurate and that instead a conical pressure distribution such as that in Figure Q2b is more appropriate. The pressure is defined as: p = A - Br Where A 5 kPa and B = 20 kPa/m Calculate the maximum displacement of the plate under this new pressure distribution. p(r) + + Ø 0.5 m Figure Q2b Q2 A circular window pane of thickness 5mm is mounted as shown in Figure Q2a. It is considered to be clamped at its outer radius. You wish to consider the structural performance of the pane when subjected to wind pressure, p, as shown. The pressure is initially considered to be uniform. Glass properties: Eglass = 70 GPa, v = 0.22 Ø 0.5 m P Figure Q2a The following equation describes the deflection, w, of the pane at radius r, for a given uniform pressure, p: pr pa²² pat W = 64D 32D + 64D where a is the outer radius and D is the flexural rigidity. (a) Calculate the deflection at the centre of the plate, when p = 5 kPa. (b) Determine the maximum radial stress at the outer radius of the plate, when p = 5 kPa.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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(c) You learn that the assumption of uniform stress distribution is inaccurate and that instead a
conical pressure distribution such as that in Figure Q2b is more appropriate. The pressure is
defined as:
p = A - Br
Where A 5 kPa and B = 20 kPa/m
Calculate the maximum displacement of the plate under this new pressure distribution.
p(r)
+
+
Ø 0.5 m
Figure Q2b
Transcribed Image Text:(c) You learn that the assumption of uniform stress distribution is inaccurate and that instead a conical pressure distribution such as that in Figure Q2b is more appropriate. The pressure is defined as: p = A - Br Where A 5 kPa and B = 20 kPa/m Calculate the maximum displacement of the plate under this new pressure distribution. p(r) + + Ø 0.5 m Figure Q2b
Q2
A circular window pane of thickness 5mm is mounted as shown in Figure Q2a. It is considered
to be clamped at its outer radius. You wish to consider the structural performance of the pane
when subjected to wind pressure, p, as shown. The pressure is initially considered to be
uniform.
Glass properties: Eglass = 70 GPa, v = 0.22
Ø 0.5 m
P
Figure Q2a
The following equation describes the deflection, w, of the pane at radius r, for a given uniform
pressure, p:
pr pa²² pat
W =
64D 32D
+
64D
where a is the outer radius and D is the flexural rigidity.
(a) Calculate the deflection at the centre of the plate, when p = 5 kPa.
(b) Determine the maximum radial stress at the outer radius of the plate, when p =
5 kPa.
Transcribed Image Text:Q2 A circular window pane of thickness 5mm is mounted as shown in Figure Q2a. It is considered to be clamped at its outer radius. You wish to consider the structural performance of the pane when subjected to wind pressure, p, as shown. The pressure is initially considered to be uniform. Glass properties: Eglass = 70 GPa, v = 0.22 Ø 0.5 m P Figure Q2a The following equation describes the deflection, w, of the pane at radius r, for a given uniform pressure, p: pr pa²² pat W = 64D 32D + 64D where a is the outer radius and D is the flexural rigidity. (a) Calculate the deflection at the centre of the plate, when p = 5 kPa. (b) Determine the maximum radial stress at the outer radius of the plate, when p = 5 kPa.
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