{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Virtual Work Method

# Virtual Work Method - δ x C In other words the vertical...

This preview shows page 1. Sign up to view the full content.

QUICK METHOD FOR DETERMINATION OF VIRTUAL DISPLACEMENTS Consider the shaded object above, which pivots around point O. If the entire object experiences a small virtual rotation δθ, then lines OA, OB and OC each rotate δθ. For very small angles, the virtual displacement δ Α is exactly equal to L δθ ( and is perpendicular to OA). Similarly, δ y B = Lcos θ δθ and δ x C = Lsin θ δθ. When analyzing displacements at point A, it’s convenient to recognize that δ y A = δ y B and δ x A
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: δ x C . In other words, the vertical displacement at A depends on the horizontal distance times δθ and the horizontal displacement at A depends on the vertical distance times δθ . This method gives results identical with the differential calculus method, albeit without the minus signs that sometimes appear. Your active force diagram should clearly show the proper directions, however, and allow you to use the proper sign for the virtual work term....
View Full Document

{[ snackBarMessage ]}