rat4x4
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Something has been bugging me for a long time, since I took my first statics class a few years ago. I have a problem with a common figure found in many statics books. I have attached the figure to my post.
My question deals with the delta V added to the shear force on the right side of the figure. According to the textbooks, both the shear force and moment acting on the right-hand face must be increased by a small, finite amount in order to keep the segment in equilibrium. But wouldn't this take the segment out of equilibrium? I mean, you have the resultant loading acting downwards, and then you have a shear force on the right-hand face acting downwards which itself is greater than the shear force on the left hand side. Summing the forces in the y direction, wouldn't there be a net force downwards?
What am I missing here? Why does this not make sense to me and why is this figure so common in statics books?
My question deals with the delta V added to the shear force on the right side of the figure. According to the textbooks, both the shear force and moment acting on the right-hand face must be increased by a small, finite amount in order to keep the segment in equilibrium. But wouldn't this take the segment out of equilibrium? I mean, you have the resultant loading acting downwards, and then you have a shear force on the right-hand face acting downwards which itself is greater than the shear force on the left hand side. Summing the forces in the y direction, wouldn't there be a net force downwards?
What am I missing here? Why does this not make sense to me and why is this figure so common in statics books?
