rigid body vs flexible body in a structural static analysis


I have a machine arm mechanism with a bucket on it's end point. When I define all bodies as flexible, my joint force results do not match with my hand calculation. The results are less than my hand calculation result by almost 20% difference ratio. I know that I can only get accurate results when I turn the bodies into rigid bodies. Even so, isn't the difference is so high for flexible bodies? Is there anyone can explain this situation and it's principle?



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