SEAA 4243 · Faculty of Civil Engineering, UTMFakulti Kejuruteraan Awam, UTM

SEAA 4243 Finite Element Method

Two-dimensional problems: heat transfer and plane stress in five sessions, then one session with ANSYS. Each part has notes, slides, worked examples in answer-scheme form, exercises and an interactive Explorer.Masalah dua dimensi: heat transfer dan plane stress dalam lima sesi, kemudian satu sesi dengan ANSYS. Setiap bahagian ada nota, slides, contoh bekerja dalam bentuk skema jawapan, latihan dan Explorer interaktif.

Course homeLaman kursus

What to doApa perlu dibuat Open a part and start from its Start tab; every part page has a ⌂ button that brings you back here. Continue opens the part you used last.Buka satu bahagian dan mula dari tab Mula; setiap halaman bahagian ada butang ⌂ untuk kembali ke sini. Sambung membuka bahagian yang terakhir anda gunakan.

Progress:Kemajuan: 0 % overall: the mean over the parts that are available.keseluruhan: purata bahagian yang tersedia.

ContinueSambung →
2D Heat Transfer
2D Heat Transfer · Part 1 of 22D Heat Transfer — Part 1PDE, boundary conditions, the four-node element and its shape functions, gradient and flux.PDE, boundary condition, four-node element dan shape function-nya, gradient dan flux.
0 % · OpenBuka →2D Heat Transfer · Part 2 of 22D Heat Transfer — Part 2Galerkin, integration by parts, [k], assembly, essential conditions, the worked example in MATLAB.Galerkin, integration by parts, [k], assembly, essential condition, contoh bekerja dalam MATLAB.
0 % · OpenBuka →
Plane Stress
Plane Stress · Part 1 of 3Plane Stress — Part 1Equilibrium, Hooke, strain–displacement, the PDE in matrix form, boundary conditions, [N] with two dofs per node.Equilibrium, Hooke, strain–displacement, PDE dalam bentuk matrix, boundary condition, [N] dengan dua dof setiap node.
0 % · OpenBuka →Plane Stress · Part 2 of 3Plane Stress — Part 2[B], the 8 × 8 [k], consistent loads, assembly by dof map, the cantilever solved and refined.[B], [k] 8 × 8, consistent load, assembly mengikut dof map, cantilever diselesaikan dan di-refine.
0 % · OpenBuka →Plane Stress · Part 3 of 3 · ProjectPlane Stress — Part 3Stress recovery, principal stresses, convergence and singularities, the 8-node element, reporting; project briefing.Stress recovery, principal stress, convergence dan singularity, 8-node element, pelaporan; taklimat projek.
0 % · OpenBuka →
ANSYS
ANSYS · DemoANSYS — DemoHand calculation versus software: the plate and the cantilever rebuilt in Workbench, reaction checks, wrong models.Pengiraan tangan berbanding perisian: plat dan cantilever dibina semula dalam Workbench, semakan reaction, model yang salah.comingakan datang
Explorers and Python codeExplorer dan kod Python

Each Explorer runs in the browser, on a phone too. The Python code solves the same problems in the same notation: use it to check hand calculations, and for assignments and projects.Setiap Explorer berjalan dalam pelayar, termasuk telefon. Kod Python menyelesaikan masalah yang sama dengan notasi yang sama: guna untuk menyemak pengiraan tangan, dan untuk assignment serta projek.

Explorer · Heat Transfer · Part 1Heat Transfer · Part 1Shape Function ExplorerN1…N8 as colour maps; drag a point and read the weights.N1…N8 sebagai peta warna; seret satu titik dan baca nilai Ni.
OpenBuka
fe_shape_functions.py · .zip · 10 kB
Explorer · Heat Transfer · Part 2Heat Transfer · Part 2Heat Conduction ExplorerThe 1 m plate solved live: edit edges and mesh, probe, energy balance, mesh study.Plat 1 m diselesaikan secara langsung: ubah tepi dan mesh, probe, energy balance, kajian mesh.
OpenBuka
fe_heat_q4.py · .zip · 16 kB
Explorer · Plane Stress · Parts 1–2Plane Stress · Part 1–2Cantilever ExplorerQ4 and Q8 meshes of the cantilever: tip deflection, reactions, convergence.Mesh Q4 dan Q8 bagi cantilever: tip deflection, reaction, convergence.
OpenBuka
fe_plane_stress.py · .zip · 18 kB
Explorer · Plane Stress · Part 3Plane Stress · Part 3Stress Recovery ExplorerStresses from displacements: unaveraged, averaged, principal, Mohr’s circle, the corner singularity.Stress daripada displacement: unaveraged, averaged, principal, Mohr’s circle, singularity di bucu.
OpenBuka
fe_plane_stress.py · .zip · 18 kB
Your progressKemajuan anda

Progress is kept in this browser only. Export it to a file to move it to another device or to keep a copy; import that file on the other device. It is your own record, not a gradebook.Kemajuan disimpan dalam pelayar ini sahaja. Export ke fail untuk memindahkannya ke peranti lain atau menyimpan salinan; import fail itu pada peranti lain. Ia rekod anda sendiri, bukan buku gred.

Text and sourcesTeks dan sumber

Text: Mohd Yassin et al., Two-Dimensional Finite Element Formulations for Heat, Solids and Fluids (with Matlab), MSNM 2020. Third-party images are credited where they appear (MIT, BSD, LGPL and CC BY licences). Python code: MIT licence.Teks: Mohd Yassin et al., Two-Dimensional Finite Element Formulations for Heat, Solids and Fluids (with Matlab), MSNM 2020. Imej pihak ketiga dikreditkan di tempat ia muncul (lesen MIT, BSD, LGPL dan CC BY). Kod Python: lesen MIT.