Friday, January 24, 2014

The magnitude of the voltage on the local orientation can be directly read in the Mohr circle, I do

Local On the voltage axis Mohr Graph Method (4) - Civil engineering as Viewed by me
A complete range of writing about graphic interpretation of voltage using Mohr circle is as follows: Introduction to Mohr diagram representation Lowering the voltage with the Mohr circle equation on the general problem of calculation of the voltage on the local axis (analytical method) Calculations radar bo voltage on the local axis (graphical method)
Since we are talking in the special case of planar voltage (see previous post), then the voltage at the element formed by two pairs only tension, where the voltage is 2 pairs: Voltage and voltage rotating counter-clockwise with respect to the center of the element radar bo voltage and voltage rotating clockwise towards the center point of the element
When using tension direction and that I've done before, then the shear stress in the opposite direction radar bo is positive radar bo clock and vice versa (a way). But the result is the rotation axis of the element in the local and in the Mohr circle is out of sync (of each other).
Or the second way is to take down the voltage axis towards the local as positive (way c), this is the way it is generally done, the result is a positive shear stress in the direction of rotation clockwise
Many books, textbook, or other sources that use a positive value for clockwise rotation (method c), for example in wikipedia. This they do because they have to synchronize the local direction of rotation axis with the direction of rotation in the field Mohr
Confused? Weve rather ngebingungin radar bo heck, for that I give a brief summary here: Method A, the local rotation axis, the rotation will result in the Mohr diagram. Here the shear stress that rotates counter-clockwise is the positive radar bo element. Note here that the rotation of both the left and right images in opposite way a B, so that the direction of rotation is aligned so we can change the positive axis Mohr circle towards the bottom. Here the shear stress radar bo that rotates counter-clockwise is the positive element. Now the axis of rotation at the local and at the Mohr circle was already aligned mode c, so that the direction radar bo of rotation aligned, we can also reverse the direction of the local axis positive downwards. As a result of shear stress here that rotates clockwise is the positive element
So based on the agreement radar bo that the sign convention I mentioned earlier, the shape of the elements are as follows:
As the main menu of this post, I will try to find the value of the voltage on the local orientation using a graphical method Mohr 2, ie double angle method (double angle approach) Method corner point (pole point approach)
Using this method we can immediately find the magnitude of the voltage on the local axis because we have seen that the rotation of the Mohr diagram correlated with the axis of rotation of the local to the global
The magnitude of the voltage on the local orientation can be directly read in the Mohr circle, I do not show here because I do not make the Mohr circle with a precision scale. I just emphasize the principle way that I think makes it pretty clear by looking at the picture above
How to make it, the point was made based on the corners of the 2 pieces voltage orientation couples, from the previous image, the second voltage orientation that we have, which is as follows: The voltage and clockwise. The working voltage radar bo stress on the vertical plane and the counter-clockwise. Voltage is working on a horizontal plane
The image above shows a two-point voltage conditions on the local orientation using the corner point method. Note also that the stress state in a local orientation is determined by making a line that is parallel to the local orientation of the concerned partner voltage
If we draw a line from the two points radar bo that formed a green circle above and compare it with the results obtained with the first method, we can see that the line is exactly in line with the local orientation of the Mohr circle in the first method
Filed Under: Continuum Mechanics, Engineering radar bo Mechanics
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