Spacegass

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2105 ENG, Mechanics of Materials 2, Semester 2, 2016 SPACE GASS Project Instructions Before you start get to know these useful keyboard shortcut keys in SAPCEGASS

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Q.1 Beam (50 Marks) All dimensions are in meters. For example d=8 m Total length L=d+e+f+g=8+3+4+7=22m All distributed loads are in kN/m. For instance d=8 kN/m All concentrated loads are in kN. For instance f=4 kN

Part 1-Using SPACE GASS: (1) Illustration of the model. You need to show the end fixities, loads and dimensions (similar to the Figure above). (10 Marks) Hint- Insert a snapshot of the beam model from SPACEGASS here. Use the “PrtScn” button on your keyboard to take a snapshot of the

computer screen, then edit and crop the picture in paint or similar software. The snapshot should clearly show the end restraints (fixed and roller), the distributed force and the concentrated load. Also show the dimensions between the loads which correspond to your student

number. To add dimensions to your model, right click on the beam and from the menu that pops up select “measure/dimension”, then “add

dimension”. See the sample below which corresponds to the student number shown above:

d e f g

d f

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(2) Show the maximum deflection in the beam using 200 UB 25.4 Aust300 Universal Beam section. In SPACE GASS use ‘show envelope’ and ‘absolute maximum’ setting. (5 Marks) Hint- To assign 200 UB 25.4 profile to all elements, right click on them, then from the right tab select Properties on the top right of the screen,

under section click on the book symbol and select the section. The snapshot from SPACEGASS below shoes the window that will pop up.

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To show the section name on each element, from the left bar click on the ‘T’ button (shown below) to enable it.

Then click on the arrow next to it and in the window that pops up, tick “show section names”. The ‘T’ button is used to show the values of the

load, deflection and shear force and bending moment diagrams, etc.

Run the model from the top menu “Analysis”, “Linear elastic analysis” with program defaults. Click on the ‘show displacements’ button on the

left tab right under the ‘T’ button to see the deflection in the beam. If you have defined more than one load case (for example one for the

distributed force and one for the concentrated force) then you need to press on the “Envelope” button on the left tab to show the minimum

(negative deflection) or maximum (positive deflection). If you only have one load case, then simply show the displacements. Below is a sample from the minimum displacements of the envelope.

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(3) Show maximum reactions and the bending moment diagram of the beam in separate images. (5 Marks) Hint- To show the reaction click on the reaction button from the left tab.

To show the bending moment diagram click on the reaction BMD button from the left tab.

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BMD under distributed load

BMD under concentrated load

BMD under both distributed and concentrated loads

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(4) From the SPACE GASS library, select Aust300 Universal Beam section such that the absolute maximum deflection in the beam is smaller than (L/300). You need to show the iterations in Tabular format like the one shown below. (5 Marks) Hint- In the first iteration show the maximum displacement (deflection) of the beam using 200 UB 25.4 from previous section. If that

deflection is larger than L/300 then you need to use a bigger profile to reduce the maximum deflection to a value smaller than L/300. You

need to show some iteration how the deflection is reduced by changing the profile section in a table. See the sample snapshots and table

below:

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Iteration Section Deflection

(mm) L/300 (mm)

Criteria

1 200 UB 25.4 516.94 =22000/300=73 NG 2 310 UB 46.2 122 73 NG 3 360 UB 50.7 85.91 73 NG 4 410 UB 53.7 64.89 73 OK

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Part 2-Using Analytical Equations:

(You have to show the entire procedure. No marks are given if only the final answer is shown without the procedure) Instructions- Do your hand calculations on a plain paper, then scan and attach to the space provided here.

(5) Remove the roller support at the right end of the beam. Find the deflection at the right end of the beam under combined action of distributed and concentrated loads. You can use either the double integration method or the virtual work method. Use properties of 200 UB 25.4 Aust300 Universal Beam section. (15 Marks) Hint- Remove the roller support and analyse the cantilevered beam. Use the methods taught in class to find the deflection of the beam.

Compare your results with SAPCEGASS and identify the error. (6) Draw the Shear Force and the Bending Moment Diagram of the beam for the previous case (5). (10 Marks) Hint- Draw the SFD and BMD from your knowledge of the analytical procedure and compare with the SFD and BMD from SPACEGASS.

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Q.2 Truss (50 Marks) For instance 2968347 then a=2, b=9, c=6, d=8, e=3, f=4, g=7 All dimensions are in meters. Use the Structure wizard and Cross Brace Truss in SPACE GASS: L=d+f+e+g=22m and a=2m P1=a kN=2 kN P2=f kN=4 kN P3=g kN=7 kN

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Part 1-Using SPACE GASS:

(1) Show the SPACE GASS model with dimensions and member cross section annotations. Use Aust300 Square Hollow Sections (SHS) for all the members. (5 Marks)

Hint- Show all the dimensions and loads. See the sample below. You can pick any SHS section at this stage.

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