CEE 470_HW_2(5).pdf - Spring 2019 CEE 470 Homework 2 Due on...

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Spring 2019 1 CEE 470 Homework # 2 Due on Wednesday January 30, 2pm Write your name and ID on the cover page Question 1 1D Bar problem (50 pts) A rod is axially loaded as shown in the figure below. The rod is subject to 𝑞(?) = −1 𝑙?/𝑖𝑛 . Determine the displacement of the rod given the following information. 𝐴(?) = 2.0 𝑖𝑛 2 , 0 < ? < 1 𝐴(?) = 4 3 − ? 𝑖𝑛 2 , 1 < ? < 2 ?(?) = 1.0 𝑙?/𝑖𝑛 2 , 0 < ? < 2 The differential equilibrium equation was given in class. The boundary conditions are 𝑢(? = 2) = 0 ?(? = 0) = 0 1. Determine the longitudinal displacement field, 𝑢(?) . 2. Determine the engineering strain field, ?(?) . 3. Plot 𝑢(?) and ?(?) in MATLAB (hint: use the MATLAB functions, linspace ” and “plot”) . Turn in the diary file and the resulting figures.
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Spring 2019 2 Question 2 1D Bar problem (50 pts) A stalactite is a type of speleothem that hangs from the ceiling of limestone caves. We can idealize it as follows. The following conditions are given: 𝐴(?) = ?? ? , cross sectional area 𝑞( 𝑦 ) = −?𝐴(?) , distributed axial force, weight per unit length ? = 1.0
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