تم الحل ✓
categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
The thin rectangular plate (Fig. 1, not to scale) with sides 6 m and 4 m of thickness 112 mm is subjected
to the stresses σx, σy and Txy. An Airy stress function is proposed to be:
(x, y) = Ax³ + Bxy + Cxy³, with A=B=C=1
(a) Determine the values of stresses (ox, σy and txy) at point (x,y) which satisfy the stress function.
(b) Draw a stress element showing the stresses on the four faces of the element (Use the face bounded by
the X- and Y-axes with a line representing a face, that is, a 2-D stress element).
(c) Neglecting body forces, determine the resultant normal and shearing forces on the top face of the plate
that are consistent with o.
4 m
6 m
Fig. 1
112 mm
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