Question

It has been determined that a point in a load-carrying member is subjected to the following 2. stress condition: Tay 200MPa(CW) O 400MPA ay-300MPA (a) Draw the initial stress element. (b) Draw the complete Mohr's circle, labeling critical points. (c) Draw the complete principal stress element. (d) Draw the maximum shear stress element.

Answer 1

a)initial stress element:

2) Given 4 - 400 м Ра - - Зоо чPa Txy - 200 MPa (clock wise)

O.y = -300.0 T = 200.0 0.X = 400.0 IT 6x20468.0 T= -200.0 T= 200.0 o.y = -300.0

b)mohr's circle:

c)complete principal stress element:

600. 00 500.0+ Max shear = 403.1 4000 (-300.0.200.0) (-300.0.200.0) 300.0 2000 + Min prin = -353.1 100.0 (50.00.0.0) AA 200 -100.0 + 1 -800 -600 -400 -200 400 1.000 600 800 Max prin = 453.1 -200.0 + -300.0 + (400.0 -200.0) (400.0 -200.0) -500.0 +4 Min shear = -403.1 -600.01

O.y = -353.1 T= 0.000 T=0.000453.1 OX= 453.1 T = 0.000 = 0.000 O.y = -353.1

d)maximum shear stress element:

OX = 50.00 T = 403.1 TE-408.1 O.y = 50.00 T = -403.1 T = 403.1 50.00 0.x = 50.00