Question

Figure 1 shows a truss frame. The frame consists of three elements. All the elements have the same material properties and these are listed in Table 1. Young's Modulus, E Poisson ratio, v Diameter of circular profile, d Length L E=260 GPa v=0.35 d=20mm See Figure 1 Table 1: Truss Frame Properties 20kN 30 3m 120° 3m Figure 1: Truss Frame (NOT DRAWN TO SCALE) The frame is supported by one roller and one fixed support and is loaded with a concentrated force of 20kN as shown above. You will need to do the following: 1. Construct an FEA model which allows you to investigate the behaviour of the truss. It is expected that your FEA model will allow you to calculate the following: Displacements for all nodes; Forces for all nodes; Forces in all elements; Reaction at supports; and, Stress in all elements .

!!USING ABAQUS SOFTWARE!! :-

Please solve the following question using ABAQUS software to analyse the behaviour of the truss.

Answer 1

Area of the truss is (pi/4)*d^2 = (3.14/4)*0.02*0.02 = 0.000314 m^2
Youngs Modulus is 290*10^9 N/m^2
Force in x-direction is -20*10^3*cos(30) = -20000*0.866
Force in y-direction is -20*10^3*sin(30) = -20000*0.5

INP File:

*Heading
** Job name: Job-1 Model name: Model-1
** Generated by: Abaqus/CAE 2017
*Preprint, echo=NO, model=NO, history=NO, contact=NO
**
** PARTS
**
*Part, name=Part-1
*Node
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2, -0.868058145, 2.59807611
3, 3.6319418, 0.
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7, 9, 10
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10, 12, 13
11, 13, 14
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13, 15, 16
14, 16, 17
15, 17, 18
16, 18, 19
17, 19, 20
18, 20, 21
19, 21, 22
20, 22, 23
21, 23, 24
22, 24, 25
23, 25, 26
24, 26, 27
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26, 28, 29
27, 29, 30
28, 30, 31
29, 31, 32
30, 32, 1
31, 3, 33
32, 33, 34
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35, 36, 37
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39, 40, 41
40, 41, 42
41, 42, 43
42, 43, 44
43, 44, 45
44, 45, 46
45, 46, 47
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54, 55, 56
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60, 61, 62
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62, 63, 64
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*Nset, nset=Set-1, generate
1, 112, 1
*Elset, elset=Set-1, generate
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** Section: Section-1
*Solid Section, elset=Set-1, material=Material-1
0.000314,
*End Part
**
**
** ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=Part-1-1, part=Part-1
*End Instance
**
*Nset, nset=Set-1, instance=Part-1-1
2,
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1,
*Nset, nset=Set-3, instance=Part-1-1
3,
*End Assembly
**
** MATERIALS
**
*Material, name=Material-1
*Elastic
2.6e+11, 0.35
** ----------------------------------------------------------------
**
** STEP: Step-1
**
*Step, name=Step-1, nlgeom=NO, perturbation
*Static
**
** BOUNDARY CONDITIONS
**
** Name: BC-1 Type: Displacement/Rotation
*Boundary
Set-2, 1, 1
Set-2, 2, 2
** Name: BC-2 Type: Displacement/Rotation
*Boundary
Set-3, 2, 2
**
** LOADS
**
** Name: Load-1 Type: Concentrated force
*Cload
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Set-1, 2, -10000.
**
** OUTPUT REQUESTS
**
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
*End Step

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