Beam with Spring Support - IStructE Certificate in Structural Behaviour Course

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Question from IStructE's Structural Behaviour Course, as part of the Certificate in Structural Behaviour.

This is a question from the Structural Behaviour Course, which asks you to calculate the vertical deflection of the truss using whatever method you want. Here we chose the method of conservation of energy.

Recorded by Tim Lai, founder of The Structural Exam.

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Комментарии
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09:18 CORRECTION: This capital Delta should be equal to x rather than -x due to the fact that delta is already a downwards direction, and then at 10:06, the equation should read x = -0.0225 - 0.9x. The final answer remains the same.

TheStructuralExam
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I’ll be taking my exam in aug 2020. Thanks a lot for the videos, it’s been teaching me a lot of techniques.

sairanjan
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Alternatively, 1) Compute stiffness of the beam (kb) = load/ deflection= {250kN / ( deflection of 6m simply supported beam for the point load of 250kN)}, 2) Stiffness of spring is 10kN/mm (ks) ; 3) Compute total stiffness = kb+ks = ktot 4) Load / ktot = 11.8mm.; Springs are in parallel because same load is not seen by the two springs, therefore ktot = kb + ks; otherwise it would have been an inverse adddition

waqarfarooqui
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Hi ... What should i do if i take c as redunant?

ahmedaga
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Hi, thanks for the content. I don't understand how you say 10kn/0.001M. The question says "the spring displaces by 1mm for every 10kN acting on it". So surely that is 0.001m/10kN and not the other way around?

arthurmorgan
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Thanks for the explanation, am I right to say this is a good example of a idealized bridge with a pier in the middle?

temia
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The last equation not ok .... I think positive value according to your step .... thanks

ahmadelshukri