![Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global stiffness matrix; (b) Ca](http://img.homeworklib.com/questions/02b0a640-48ee-11ec-bcc2-abe51481d341.png?x-oss-process=image/resize,w_560)
Homework Answers
![Global mateix if of 868 2 3 u s 6 7 8 -1/31-1101-1/2 1/2010 ] 12 12010112 Tk] = EA Pol 3/2 1/2-1/2-1/2 bol 1/2 - 1/2 +/2-1/2](http://img.homeworklib.com/questions/279877a0-48ee-11ec-917f-bb87887510df.png?x-oss-process=image/resize,w_560)
![o o Г - o o o] Го 7 г. o o oo) – Ч. 2 1:2 о - 2 | е о то | о о г - о| По Но о то о с 2 - 2 1 - чо | | o . ч.ч. о. 8 9 o о o |](http://img.homeworklib.com/questions/284a75a0-48ee-11ec-94aa-69d3137f1809.png?x-oss-process=image/resize,w_560)
![Now calculate individual member forces Member I. e=r2m mals l=-1152 [p] = [go to ton] Thor] us = AE [ z f t t 534) EA -- +4.2](http://img.homeworklib.com/questions/28f54c10-48ee-11ec-9da2-496c5c3a152a.png?x-oss-process=image/resize,w_560)
Add Answer to:
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global...
13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in...
13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in figure. Use the stiffness matrix to calculate the unknown displacement (D1 and D2) at the node where the load 5 kN and 10 kN are applied, and then determine the reactions at the pinned supports (Q3, Q4, Q5 and 26). Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant. The supports are pinned. 4....
For the system shown below, (a) the global stiffness matrix (b)displacements of nodes 2 and 3...
For the system shown below, (a) the global stiffness
matrix (b)displacements of nodes 2 and 3 (c)the
reaction forces at nodes 1 and 4 (d)the force in the
members
EA TRATAMI 70-400 = 100 x 10 kN/m 0.28 ATT L ( EA k, 100 - 200 = 200 x 10 kN/m 0.1 L (4 EA k, 200.70 =140x10 kN/m 0.1 I (4.2 X tretiet 0.28 2 vyos Imool
For the truss shown in the figure below, develop element stiffness matrices in the global co-ordinate system. AE 200 [M...
For the truss shown in the figure below, develop element stiffness matrices in the global co-ordinate system. AE 200 [MN] is the same for all members. Use the direct stiffness matrix method to: i. Establish all element stiffness matrices in global coordinates ii.Find the displacements in node 3 ii. Calculate the member stresses 4m 3m 20kN 2 2 Use HELM resources on Moodle to find required determinant and inverse matrix. Answer 9.6x103 [MPa] 0.24mmm u3-0.20mm 0.45mm 16x10-3 MPa σ2-3- 1...
For truss shown below a vertical load of 25 KN and Horizontal Load of 30 KN...
For truss shown below a vertical load of 25 KN and Horizontal
Load of 30 KN applied at Node 3 ( Use FEM Nodal displacement,
Direct stiffness method)
1). Calculate clearly the member length and distance between
members A = 5 x 10^-4 m^2 and E = 200 GPa
2). Determine the member and global stiffness matrix and show
the calculation fot Sinθ and Cosθ clearly
3). determine the displacement and
member forces
All Load and dimensions are in meter...
Using the stiffness method, determine the axial forces within members and the displacements of jo...
Using the stiffness method, determine the axial forces within
members and the displacements of joints of the truss shown in the
Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with
E= 200 GPa (approx). (Cross members BD and CE are not connected at
the middle)
(a) Show local stiffness matrices for each member and the
assembled global stiffness matrix. Show your step by step solution.
(30 Marks)
(b) Use an appropriate method...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2-108 kPa, A=00, I = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A=0.002 m2. Also, take L=6.9 m and w=30 kN/m. Degrees of freedom l- _-2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global structure stiffness matrix. Note that ABC is infinitely rigid in the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2.108 kPa, A = 0,1 = 1.2e – 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 4.8 m and a = 25 kN/m. 0 2 A B C III 7 L 3 4 Degrees of freedom D L -2L Calculate the the bending moment at Joint B following the...
Use the stiffness method to analyse the structure shown below. For the beam ABC, E =...
Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2 -108 kPa, A = 0,1 = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 6.5 m and o = 41 kN/m. 00 2 B с TIIL TE 3 Degrees of freedom D 2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global...
Plane truss
The lower-right joint of the three-member plane truss shown in Figure 2 is supportedby a skew roller. The truss members are of a solid circular cross section having diameterd D 25 mm and elastic modulus E D 50 GPa. The force P D 70 kN is applied to theunconstrained joint. Number the nodes and elements, and solve for unknown nodaldisplacements and reaction forces using:a) Master-slave method,b) Penalty element method,c) Lagrange multiplier method.
For the spring assemblage shown in Figure 2-13, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces, and (d) the local element forces.
For the spring assemblage shown in Figure 2-13, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces, and (d) the local element forces. Node l is fixed while node 5 is given a fixed, known displacement δ= 20.0 mm. The spring constants are all equal to k = 200 kN/m.
13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in figure. Use the stiffness matrix to calculate the unknown displacement (D1 and D2) at the node where the load 5 kN and 10 kN are applied, and then determine the reactions at the pinned supports (Q3, Q4, Q5 and 26). Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant. The supports are pinned. 4....
For the system shown below, (a) the global stiffness
matrix (b)displacements of nodes 2 and 3 (c)the
reaction forces at nodes 1 and 4 (d)the force in the
members
EA TRATAMI 70-400 = 100 x 10 kN/m 0.28 ATT L ( EA k, 100 - 200 = 200 x 10 kN/m 0.1 L (4 EA k, 200.70 =140x10 kN/m 0.1 I (4.2 X tretiet 0.28 2 vyos Imool
For the truss shown in the figure below, develop element stiffness matrices in the global co-ordinate system. AE 200 [MN] is the same for all members. Use the direct stiffness matrix method to: i. Establish all element stiffness matrices in global coordinates ii.Find the displacements in node 3 ii. Calculate the member stresses 4m 3m 20kN 2 2 Use HELM resources on Moodle to find required determinant and inverse matrix. Answer 9.6x103 [MPa] 0.24mmm u3-0.20mm 0.45mm 16x10-3 MPa σ2-3- 1...
For truss shown below a vertical load of 25 KN and Horizontal
Load of 30 KN applied at Node 3 ( Use FEM Nodal displacement,
Direct stiffness method)
1). Calculate clearly the member length and distance between
members A = 5 x 10^-4 m^2 and E = 200 GPa
2). Determine the member and global stiffness matrix and show
the calculation fot Sinθ and Cosθ clearly
3). determine the displacement and
member forces
All Load and dimensions are in meter...
Using the stiffness method, determine the axial forces within
members and the displacements of joints of the truss shown in the
Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with
E= 200 GPa (approx). (Cross members BD and CE are not connected at
the middle)
(a) Show local stiffness matrices for each member and the
assembled global stiffness matrix. Show your step by step solution.
(30 Marks)
(b) Use an appropriate method...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2-108 kPa, A=00, I = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A=0.002 m2. Also, take L=6.9 m and w=30 kN/m. Degrees of freedom l- _-2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global structure stiffness matrix. Note that ABC is infinitely rigid in the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2.108 kPa, A = 0,1 = 1.2e – 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 4.8 m and a = 25 kN/m. 0 2 A B C III 7 L 3 4 Degrees of freedom D L -2L Calculate the the bending moment at Joint B following the...
Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2 -108 kPa, A = 0,1 = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 6.5 m and o = 41 kN/m. 00 2 B с TIIL TE 3 Degrees of freedom D 2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global...
Most questions answered within 3 hours.
-
If we only have interstitial and substitutional diffusion, then
what do we consider the process of...
asked 2 minutes ago -
You look at yourself in a shiny 9.6-cm-diameter Christmas tree
ball.
If your face is 21.0...
asked 3 minutes ago -
If we were to measure the relaxation time of a muscle after
undergoing tetanus compared to...
asked 3 minutes ago -
4CO(g) + 8H2(g) -----> 3CH4(g) +
CO2(g) + 2H2O(l)
Use the following data as needed to...
asked 6 minutes ago -
without using map
1. Write a C++ program to find out the top 10 words in...
asked 20 minutes ago -
1)Calculate the percent ionization of a
0.330 M solution of hypochlorous
acid.
% Ionization = %...
asked 22 minutes ago -
1a) How many grams of K2SO4 are in 250mL
of 0.11 M K2SO4 solution?
_____ g...
asked 13 minutes ago -
The vapor pressure of a solution containing 38.7 g glycerin
(C3H8O3) in 146.2 g ethanol (C2H5OH)...
asked 18 minutes ago -
A physics major is cooking breakfast when he notices that the
frictional force between the steel...
asked 24 minutes ago -
A cyclohexane (c-hex) solution is prepared by fully dissolving
9.11g of a newly synthesized organic compound...
asked 30 minutes ago -
SCHEME :-)
[5 marks] Write a procedure called convert that takes as
arguments: a temperature value...
asked 36 minutes ago -
Are
Acetyl CoA and Pyruvate biological molecules that are used to get
ATP energy in aerobic...
asked 37 minutes ago