Finite elemetns method, Übungen von Baustatik

In this problem a beam-bar system is subjected to a distributed loading

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2021/2022

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Question #1: A beami-bar system is subjected to the loading shown in Figure 1. Beam 1-2 is fixed at node 1 while at node 2 the beam is connected to a i . Also, the beam is suspended to a s shown in figure. The bar is fixed at node 4. i i is applied to the bar with intensity P; = 90 kKN/m and nodes 2 and 4, respectively. Additionally, asmoment M, = 50 kNm is applied at) ‘lode 2. For this beam-bar system, determine the following using the finite element method (hand a) b) c) Considering the same beam-bar system, develop a SAP2000 model to answer parts (a), (b), and (c) above. Compare the results obtained from your hand calculations to those resulting from the SAP2000 model t ° J > Ps = 50KN/m E=69GPas C9x10! km A = 0.0002 m? we a) 40m lee) Ackive DoFotL G Reskvainted Def —- Kos = 5000 kNm/rad E =200GPa srenwiet (1) 1) (e+) 1=5x 10 m* jp—_____S¢m Step 1: Namberiog the nedes, elements mol DOF Shep r Determing clement Sstiflmess matvin: 0 ° A, Ny 12EI Symmetric. ° Le 6El —4El 5 EB Te e e e Fev eln(f\: UKlaxt) 267 Ger 1281 \ i Be \ 6El 2El GET «4 EI a Le BB Le A, A, 0 ‘ cA \ -\ A, e - Fev elufi {k TL mM. 2xd le | \ ° For elm fi}. {k