The rectangular plate shown in the figure below has the given loads uniformly di

Question

The rectangular plate shown in the figure below has the given loads uniformly distributed over the edges. The plate is 50 mm thick, AB is 500 mm and BC is 400 mm. (a) Determine the shear forces which must operate on the edges BC and (b) Relative to the x.y reference axes, determine the state of stress at any (c) For the m.n axes oriented as shown, determine the normal and shear (d) Determine the magnitude of the principal stresses and their (e) For the surface GH, whose outward normal is inclined at 0 to the x- DA to maintain the equilibrium of the plate. point P in the interior of the plate. stress components orientations with respect to the x-axis. axis, determine values of the tractions P, and P, for 0 09, 609, 909 respectively. Determine the resultant stress on the plane for which 60° 400 kN 250 kN 8 P 300 KN 300 kN 30° 250 KN 400 kN

Explanation / Answer

Answer:a

Anticlockwise movement would suffer by edge BC and AD.

Answer:b

Point P would suffer shear stress.

Answer:c

M axis signify shear stress and N axis signify normal stress.

Answer:d

Orientation would be anticlockwise, magnitude can be calculate by following formula

Normal stress= (F/A)*Cos n2

Shear stress= (F/A)* Sin n* Cosn

Where n= 30 degree

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