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categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
3.12. Resolve Prob. 3.10 a and b for the stress function of the
form
Φ =-xy²(3b - 2y)
where p represents a constant.
3.10. Consider a rectangular plate with sides a and b of
thickness t (Fig. P3.10). (a) Determine the stresses Ox, Oy,
and Txy for the stress function Q = px³y, where p is a
constant. (b) Draw a sketch showing the boundary stresses
on the plate. (c) Find the resultant normal and shearing
boundary forces (Px, Py, Vx, and Vy) along all edges of the
plate.
Figure P3.10.
YA
x
b
- 6Px (b- 3y²)
x(b-3y) along y is 0, and the shear stress along
Therefore, the normal stress along x is-
x-y is
6p
b³
y (b- y²)
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Step 5 of 10
b)
Calculate boundary stresses.
Calculate normal stress values at x=0, and x=a.
S
бар
Ꮟ . (b-3y²)
Calculate normal stress values at y = 0, and y=b.
امدادی
=0
Calculate shear stress values at x=0x-a
oy(b- y²)
Opy(b- y²)
ماده
'
مرات
-0
y=0, and y=b.
x-(1-b)
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Step 7 of 10
Draw a sketch to show boundary stresses on the plate.
Exy
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