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"There's a typo in the question; please consider replacing '45' with '40'."

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When considering the Mohr circle for stress analysis, it's essential to understand the coordinate system used. Typically, the x-axis represents the normal stress, and the y-axis represents the shear stress. In the center of mohr's circle, shear stress is zero because it represents the stress state where the maximum and minimum principal stresses act on the same plane

There is no thumb rule in selecting positive and negative axes, so it is not a mistake. You can choose as you wish. However, the x-axis represents normal stress, and the y-axis represents shear stress

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@@michaelthomasrex ok

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Any Sign convention is correct. However, you have to maintain it throughout the problem. The answer will not change.

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Help I'm getting 87,32 as my R 😭

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The clockwise rotation created by the shear forces at any face is always positive. Similarly, the counter clockwise rotation created by the shear forces at any face is always negative.

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The principal stresses: 88.8 Mpa & 78.8 Mpa Position of Principal Plane :36.3 degree (CCW)

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The magnitude of the principal stresses are the distance of extreme stress values from the centre to the points where the circle intersects the horizontal axis. Please refer the video in time line 17.52 for orientation of principal plane.

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The maximum torque is obtained at exactly middle of the power stroke. Hence the angle is pi/2. The total angle covered during the power stroke is pi.

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It is mentioned as 1.0 cm in the drawing. I think, the dot may be not visible. Thanks for the comments. kindly subscribe to the channel and share the video lecture with your friends.

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In this problem, the point A denotes the X face. When is rotated to the horizontal in CCW direction, we have got principal stresses. So the intersection point is 9.66 Mpa. Hence the 9.66 Mpa is considered along X axis while orienting principal stresses. Similarly, the point B denotes the Y face. When is rotated to the horizontal in CCW direction, we have got principal stresses. So the intersection point is 13.66 Mpa. Hence the 13.66 Mpa is considered along Y axis while orienting principal stresses. Hence, the maximum and minimum just represent the numerically maximum and minimum value among principal stresses.

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The principal stresses: 88.8 Mpa & 78.8 Mpa Position of Principal Plane :36.3 degree (CCW)