lab3_prelab

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Purdue University *

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204L

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Mechanical Engineering

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Feb 20, 2024

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Name: Krish Khakhar Lab Section Day: Tuesday Time: 1:30 pm Group: 2 Lab 03 Trusses Basic Structures Pre-Lab Assignment - AAE 20401 Read the Lab Manual up to page 28, and answer the following questions: 1 What is the overall purpose of this lab practice? Measurement and calculations of internal loads on truss structures. Measurement of strain on truss structures. 2 Give three examples of truss structure application in aerospace systems. Warren truss braces on older aircrafts, truss braces on Boeing’s design, lunar landing gear trusses 3 What are the four main assumptions used in truss analysis related with joints, loads and stress in each member? Bars are pin-connected, joints are frictionless hinges, loads are applied at joints only, stress is constant along length of members 4 In a statically determinate structure, what are the six equations necessary and sufficient to solve for reactions and member internal forces? All sum of forces in each direction equals 0, and all moments in each direction equals 0. Σ? ? = 0 𝛴? ? = 0 𝛴? ? = 0 𝛴𝑀 ? = 0 𝛴𝑀 ? = 0 𝛴𝑀 ? = 0 5 What are the two methods to solve truss structures? Method of joints: drawing FBDs at each joint and apply equilibrium to find any unknown forces. Method of Sections: making sections of the structure and drawing FDBs and apply equilibrium to find any unknown forces.
6 Find the equation that relates the axial strain measured in a hollow cylinder shaft, with the internal axial load in the member. Being D and d the external and internal diameters, respectively. 7 Run the Virtual Lab software for the truss experiment and fill the blanks (i.e., Measured Strain) in the table. ? = 𝜎𝐴 = ?𝜀𝐴 = ?𝜀 ( 𝜋(? 4 − 𝑑 4 4 ) Truss Type: Warren Without Connections Material: Aluminum AA 2024 T3 Strain gage connection: Connect strain gages to measurement channels as follows: Strain Gages Channels (Ch.) 1 0 5 1 6 2 7 3 Input channel setup: Make sure to select correct experiment (i.e., Truss) and specimen material (i.e., aluminum). Then, click “Enable” for all channels. Channels (Ch.) Experiment Specimen Material Make sure to click 0 Truss Aluminum “Enable” 1 Truss Aluminum “Enable” 2 Truss Aluminum “Enable” 3 Truss Aluminum “Enable” Apply the downward forces (i.e., 20 N to 160 N) to the truss structure using the tensioner and record the measured strain values Applied Force (N) Measured Strain (×10 6 ) Ch. 0 Strain Gage 1 Ch. 1 Strain Gage 5 Ch. 2 Strain Gage 6 Ch. 3 Strain Gage 7 0 0 0 0 0 20 2.769 5.432 -4.862 -6.202 40 5.083 9.758 -10.675 -10.089 60 7.151 15.275 -15.307 -15.428 80 10.136 19.890 -21.051 -19.853 100 13.126 25.273 -25.277 -24.370
120 14.963 30.720 -30.592 -30.677 140 18.035 35.289 -35.960 -34.749 160 20.097 40.029 -40.606 -40.273 0 -0.838 0.983 0.087 -0.981
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