# Engineering

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2105 ENG, Mechanics of Materials 2, Semester 2, 2016 SPACE GASS Project (20 Marks) This project consists of two parts. In each part you are supposed to provide answers to the questions using SPACE GASS (version 12.5) and Analytical Equations. Each student should submit one PDF file (the report) and two SG files (the models). This is an individual project and parameters in the questions vary with your student number.

Student number is ‘abcdefg’ For instance if the student number is 2968347 then a=2, b=9, c=6, d=8, e=3, f=4, g=7

If any of those letters correspond to a zero in your student number, then use the first non-zero number to the left of it. For instance if d=0 then use d=c=6. Important notes: 1-You should check the numbers and the problem layout specific to your SPACEGASS project with the convenor and/or your tutor no later than end of Week 6, Friday 2nd of October 5pm. 2-If the numbers used in the project and your student number do not match, then zero mark will be given for the SPACE GASS project. 3-Your report should be submitted as a PDF file via Turnitin submission point in the Blackboard. Use a cover page that shows your student number and full name. Submission due date is 14th of October at 11:59PM latest. Late submission penalties apply according to section 5.3 of the course profile. No hard copies will be accepted. 4-Marks will be deducted if the final answer is wrong. 5-Apart from the PDF file, two SPACE GASS files (.SG) of questions 1 and 2 should be submitted via Turnitin. You are supposed to use SPACE GASS 12.5 (Student) version only. The student version can be downloaded from this link: http://www.spacegass.com/student/index.htm. The SPACE GASS files should be saved and submitted using the following format: studentnumber_Q1.SG and studentnumber_Q2.SG. For instance if the student number is then 2968347_Q1.SG and 2968347_Q2.SG will be generated.

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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

Using SPACE GASS: (1) Illustration of the model. You need to show the end fixities, loads and dimensions (see the instruction document). (10 Marks) (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) (3) Show maximum reactions and the bending moment diagram of the beam in separate images. (5 Marks) (4) From the SPACE GASS library, select a 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)

Iteration Section Deflection

(mm) L/300 (mm)

Criteria

1 200 UB 25.4 85 73 NG 2 360 UB 50.7 72 73 OK

d e f g

d f

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Using Analytical Equations: (You have to show the entire procedure. No marks are given if only the final answer is shown without the procedure) (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) (6) Draw the Shear Force and the Bending Moment Diagram of the beam for the previous case (5). (10 Marks)

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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

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) (2) Show horizontal and vertical deflections in all nodes. (2 Marks) (3) Show axial forces in all the members. (2 Marks)

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(4) Using Aust300 Square Hollow Sections (SHS) design the lightest truss such that the maximum vertical deflection is smaller than (L/300). You need to show at least 3 iterations. In each iteration, show an image of the Truss with member cross sections, vertical deflections in nodes and total truss weight next to it. (6 Marks) (5) Check all members (SHS) in compression and tension. All members in compression should satisfy a factor of safety in buckling of SFc=2.0 and all members in tension and compression should comply with a factor of safety in yield of SFT=1.5. Use yield stress of 300 MPa. (10 Marks) Using Analytical Equations: (You have to show the entire procedure. No marks are given if only the final answer is shown without the procedure) (6) Find the horizontal deflection at the node where P1 is applied. (10 Marks) (7) Find the vertical deflection at the node where P3 is applied. (10 Marks) (8) Find the member with largest axial compressive force and design a SHS for that member. Use a factor of safety in buckling of SFc=2.0 and a factor of safety in yield of SFT=1.5. Use k=1.0 for the buckling design. (5 Marks)