E0046 conicity& ply steer 19 – the second moment of area#7 : Mohr’s circle - EulSeoggy Ko

In what order the Mohr’s circle is constructed, 3 examples will be used to find out, and how to use the Mohr’s circle to obtain the second and the product moment of area for an arbitrary coordinate axes rotation. The center of the Mohr’s circle is the average of the second moment of area about the z and y axes. In the cross section, the direction of rotation of the coordinate axis is equal to the direction of rotation of the radius of the Mohr circle, and the magnitude of the angle of rotation is half that of the Mohr circle. The steps for construction of Mohr’s circle. 1.Calculate 𝐼_𝑧𝑧 𝐼_𝑦𝑦 and 𝐼_𝑧𝑦. 2.Calculate the center of Mohr’s circle. 3.Draw the level of the product moment of area horizontally. 4.Calculate the half value of the difference between the second moments area about the orthogonal two axes. 5.Calculate the radius of Mohr’s circle. 6.Draw the circle with the calculated radius. 7.Calculate the angle to the principal axes.