CEE235B Finite Element Analysis of Structures Midterm Exam Spring 2020

CEE235B: Finite Element Analysis of Structures Prof. Taciroglu
University of California Los Angeles Spring 2020

CEE235B Finite Element Analysis of Structures
Midterm Exam
Spring 2020

Instructions
1. There are three problems with multiple sub-problems. Solve all of them.
2. All work must be written on the sheets provided.
3. Put your name on every sheet.
4. Show all work for partial credit.
5. You may use one formula sheet (both sides can be filled). This will be collected
after the exam and may not be returned to you.
6. Make explicit the method you are using to solve a particular problem.
7. If unclear about a problem statement or data, make a reasonable
assumption and proceed. Clearly state the assumption(s) you are
making.
Grading

Problem 1 [30pts]

Problem 2 [35pts]

Problem 3 [35pts]

Score [100pts]

Name




CEE235B - Taciroglu 1




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, CEE235B: Finite Element Analysis of Structures Prof. Taciroglu
University of California Los Angeles Spring 2020

Problem 1 [30pts] A collection of problems on review materials covered at the
beginning of class.
(a) PDEs: [6pts] Classify the following second-order PDEs below (2 points each)
∂ 2u
=0
∂x2

Solution
A = 1, B = 0, C = 0, ∆ = B 2 − 4AC = 0 ⇒ Parabolic


∂ 2 u ∂u ∂ 2u
10 2 + = −7 2
∂x ∂x ∂t

A = 10, B = 0, C = 7, ∆ = B 2 − 4AC = −280 < 0 ⇒ Eliptic


∂ 2u ∂ 2u ∂ 2u
+ = x +7
∂x2 ∂y 2 ∂x∂y
A = 1, B = −x, C = 1, ∆ = B 2 − 4AC = x2 − 4
−2 < x < 2 ⇒ elliptic,
x = ±2 ⇒ parabolic,
x > 2 or x < −2 ⇒ hyperbolic




CEE235B - Taciroglu 2




This study source was downloaded by 100000899606070 from CourseHero.com on 02-07-2026 14:46:19 GMT -06:00


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