simple "crane" problem
simple "crane" problem
(OP)
Dear friends
I got stuck into simple crane problem, which deals moments and rotation around an axis. Imagine you have two “cranes” – with equal mass and similar dimensions W1 = W2 and L1 = L2, therefore only difference is in shape and thickness t1 and t2. Mass center of both is always in the middle (a1 = b1 and a2 = b2).
Which one can handle bigger load F before roll over point A
thanx in advance and kind regards
I got stuck into simple crane problem, which deals moments and rotation around an axis. Imagine you have two “cranes” – with equal mass and similar dimensions W1 = W2 and L1 = L2, therefore only difference is in shape and thickness t1 and t2. Mass center of both is always in the middle (a1 = b1 and a2 = b2).
Which one can handle bigger load F before roll over point A
thanx in advance and kind regards





RE: simple "crane" problem
RE: simple "crane" problem
If bearing on an elastic medium, configuration 1 might have an advantage because of not losing bearing area as quickly once the heel lifts off.
RE: simple "crane" problem
Still looks like homework...
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RE: simple "crane" problem
it is a simplification of a more complex problem, my worries were if differently distributed mass has different moment of inertia around given axis, therefore the load capacity is different... or all depends from mass center location
RE: simple "crane" problem
RE: simple "crane" problem
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RE: simple "crane" problem
RE: simple "crane" problem
Now, if the ground/slab/steel they were on could carry both 100% into the ultimate ground, then the ground load per sq foot would not matter. But moment of inertia of the crane foundation matters only for a dynamic twisting effect acting through a member - like in a boom or a cantilever arm.