Engineering What is the role of Q and the source of moments in eccentric loading problems?

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In eccentric loading problems, the calculation of stresses at a specific point, such as point B, involves determining moments and applying the stress formula. The coordinates y and z refer to the specific location at which the stress is being calculated, and they correspond to zB and yB. The axial load does not create bending stresses at point B; instead, it generates normal stresses due to the axial force. The moments arise from the applied loads and the geometry of the section, while Q represents the first moment of area about the neutral axis. Understanding these concepts is crucial for accurately analyzing the effects of axial loads on structural elements.
morpheus343
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Homework Statement
Stresses at a point in the crossection due to an axial load in the centroid.
Relevant Equations
Swain formula
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If there is an axial load on G the centroid and i want to calculate the stresses at point B , I will calculate the moments at point B then use the stress formula. I am confused as to what y and z is in this case. I know that y and z are the coordinates of the point that i want to calculate the stress at. Is it the same as zB and yB?
 
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How is the section anchored or restricted from movement induced by that axial force along the x axis?
What is Q representing?
What is the source of those moments?
 
Lnewqban said:
How is the section anchored or restricted from movement induced by that axial force along the x axis?
What is Q representing?
What is the source of those moments?
1705041937307.png

For some reason i thought it's an eccentric loading problem but it's just σx=My*z/Iy due to P. Q axial force should not produce bending stresses only normal at point B of crossection.
 
Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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