Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the supports. The stiffness method (see Week 9) can be used. Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant.
Homework Answers
I
hope I could help u dear
Add Answer to:
Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the suppor...
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....
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a ver...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
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...
2. (20 points) Using the unit load method (virtual work), find the horizontal displacement of node...
2. (20 points) Using the unit load method (virtual work), find the horizontal displacement of node 3 (joint 3) of the truss shown in the figure. ? R All areas = 50 mm 2 E = 200 GPa 15 kN 2 60 L4 m
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss s...
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss shown in Figure 3. Material property is constant throughout the members i.e EA -50 x 10° KN. 2 8 kN 3 m 4 4 m
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss shown in Figure 3. Material property is constant throughout the members i.e EA -50 x...
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring....
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring. The truss members are of a solid circular cross section having diameter, d = 20mm, and E = 80 GPa. The linear spring has a stiffness constant of 50 N/mm. A load of 15 kN is applied at 3 at an angle of 50 degrees with the horizontal. Find (a) The global displacements of the unconstrained node and (b) compute the reaction forces and...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displ...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam Note that there is a hinge at B. Take E = 250 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
The horizontal displacement of the joint where the forces are applied is: a) 0.015 mm b)...
The horizontal displacement of the joint where the forces are
applied is:
a) 0.015 mm
b) 0.034 mm
c) 0.001 mm
d) 0.007 mm
e) 0.068 mm
E 206 GPa 1.00 m 1.00 m 10.0 kN
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....
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
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...
2. (20 points) Using the unit load method (virtual work), find the horizontal displacement of node 3 (joint 3) of the truss shown in the figure. ? R All areas = 50 mm 2 E = 200 GPa 15 kN 2 60 L4 m
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss shown in Figure 3. Material property is constant throughout the members i.e EA -50 x 10° KN. 2 8 kN 3 m 4 4 m
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss shown in Figure 3. Material property is constant throughout the members i.e EA -50 x...
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring. The truss members are of a solid circular cross section having diameter, d = 20mm, and E = 80 GPa. The linear spring has a stiffness constant of 50 N/mm. A load of 15 kN is applied at 3 at an angle of 50 degrees with the horizontal. Find (a) The global displacements of the unconstrained node and (b) compute the reaction forces and...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam Note that there is a hinge at B. Take E = 250 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
The horizontal displacement of the joint where the forces are
applied is:
a) 0.015 mm
b) 0.034 mm
c) 0.001 mm
d) 0.007 mm
e) 0.068 mm
E 206 GPa 1.00 m 1.00 m 10.0 kN
Most questions answered within 3 hours.
-
lease solve all the
questions, don't need to explanations
Q1 - All animal
species have general...
asked 1 hour ago -
Business Phasing
1.Discuss the logical progression for growing a business, which
starts from the initial idea...
asked 1 hour ago -
Modify
When executing on the command line having only
this program name, the program will accept...
asked 2 hours ago -
Kenny Electric Company's noncallable bonds were issued several
years ago and now have 20 years to...
asked 3 hours ago -
find H(e^Jtheta) at theta= 0, pi/10, pi/20, pi/2 for
the following:
a) H(e^Jtheta)= 1+e^Jtheta
b) H(e^Jtheta)=...
asked 3 hours ago -
Home Corporation will open a new store on January 1. Based on
experience from its other...
asked 3 hours ago -
In a neoclassical model, use the IS-LM to analyze the effect of
a permanent money supply...
asked 4 hours ago -
An electron passes through a point 2.67 cm from a long straight
wire as it moves...
asked 5 hours ago -
A grammar is a 4-tuple G, G = (Ν, Σ, Π, Σ, S) where, Ν is...
asked 5 hours ago -
In this part, calculate the present values. Use the Excel PV
function to compute the present...
asked 5 hours ago -
Part 1. Primitive Types, Sorting, Recursion for
Homework.java
a) Implement the static method initializeArray that receives...
asked 6 hours ago -
Using C++, build a sorter that can rank a sequence of numbers in
a descending order....
asked 6 hours ago