Homework Answers
In a spring system, we follow the Hooke's Law
F = Kx
where F is the force, k is the spring stiffness and x is the net dispacement.
Similarly any complex structure can be though as a network of springs that can have multiple degrees of freedom.
A stiffness matrix [K] relates forces [F], applied at a set of
coordinates on the structure, to the displacement [u], at the same
set of coordinates.
[K][u] = [F]
The locations and directions of the point forces and displacements
are called the coordinates of the structural model.
For the degree of freedom the number of elements in the row and column determines the DOF in the global directions. For each node the DOF is identified. There might be few cases when DOF is restricted by reaction forces.
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In physical terms (force, displacement, and degrees of freedom), what do the values in a stiffness...
Problem3 The following problem is intended to be solved by hand. For the structure shown below A.) Label the structure degrees of freedom (free only) and number the elements B.) For each element, det...
Problem3 The following problem is intended to be solved by hand. For the structure shown below A.) Label the structure degrees of freedom (free only) and number the elements B.) For each element, determine the stiffness matrix in global element coordinates. Label each row and column of each element matrix with its corresponding global DoF. C.) Assemble the structure stiffness matrix Kfr from the element global stiffness matrices D.) Calculate the deflection of the free DoFs. 5 ft 500 k...
Analyze the given truss structure using the stiffness method. Clearly state the steps and (matrix) equations...
Analyze the given truss structure using the stiffness method.
Clearly state the steps and (matrix) equations used in the
problem-solving process.
a) Label the degrees of freedom (both free and restrained DOFs)
of the structure.
b) Determine the stiffness matrix of each element in the local
and global coordinates.
c) Assemble the structure stiffness matrix Kff
considering free DOFs, then write the complete equilibrium
equations Kff Uf = Pf and solve
for the unknown displacement vector Uf.
d) Calculate the...
help with both QUESTION 5 "In SPSS, where do you find the degrees of freedom for...
help with both
QUESTION 5 "In SPSS, where do you find the degrees of freedom for your denominator?" O "You can find it in the cell with the row called, df, and the column that has the same name as your factor." O "You can find it in the cell with the row called, df, and the column called, error." O "You can find it in the cell with the column called, df, and the row that has the same...
when two springs of arbitrary stiffness values are in parallel, the force developed in them, as...
when two springs of arbitrary stiffness values are in parallel, the force developed in them, as a result of a displacement, is the same? True or false I believe this is true Please explain with an example
Find the critical values of a two-tailed test with a 0.10, degrees of freedom in the...
Find the critical values of a two-tailed test with a 0.10, degrees of freedom in the numerator= 15, and degrees of freedom in the denominator 20. What are the left- and right-hand critical values? Left-hand Right-hand (Round to the nearest hundredth place as needed)
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffine...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and...
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and supported at Cand D as shown. The degrees of freedom are indicated on the frame. (1) The structural stiffness matrix [K] is related to the applied load vector [P] and the structural displacement vector [4] by: [P] = [K] 141 Construct the structural stiffness matrix [K] and the applied load vector [P] necessary to calculate the structural displacements. (18) (1) Each element stiffness matrix...
The Chi-Square Table (Chapter 17) The chi-square table: The degrees of freedom for a given test...
The Chi-Square Table (Chapter 17) The chi-square table: The degrees of freedom for a given test are listed in the column to the far left; the level of significance is listed in the top row to the right. These are the only two values you need to find the critical values for a chi-square test. Increasing k and a in the chi-square table Record the critical values for a chi-square test, given the following values for k at each level...
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing...
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing the stiffness matrices of the individual bars. Note that should be in terms of A. As, A, E, E E, L. and L. Here A, E, and are generic symbols used for cross-sectional area modulus of elasticity, and length, respectively Figure P3-1 Now let As - Ag-A-A.E E, E E and L-L L -L nodes 1 and 4 are fixed and a force Pacts...
What are the differences between truss and beam elements? That is, what degrees of freedom does...
What are the differences between truss and beam elements? That is, what degrees of freedom does each one have? What forces do they resist? 4.1 What kind of element would we have by combining the two element (truss and beam) into one? What could that new element be used for? 4.2
Problem3 The following problem is intended to be solved by hand. For the structure shown below A.) Label the structure degrees of freedom (free only) and number the elements B.) For each element, determine the stiffness matrix in global element coordinates. Label each row and column of each element matrix with its corresponding global DoF. C.) Assemble the structure stiffness matrix Kfr from the element global stiffness matrices D.) Calculate the deflection of the free DoFs. 5 ft 500 k...
Analyze the given truss structure using the stiffness method.
Clearly state the steps and (matrix) equations used in the
problem-solving process.
a) Label the degrees of freedom (both free and restrained DOFs)
of the structure.
b) Determine the stiffness matrix of each element in the local
and global coordinates.
c) Assemble the structure stiffness matrix Kff
considering free DOFs, then write the complete equilibrium
equations Kff Uf = Pf and solve
for the unknown displacement vector Uf.
d) Calculate the...
help with both
QUESTION 5 "In SPSS, where do you find the degrees of freedom for your denominator?" O "You can find it in the cell with the row called, df, and the column that has the same name as your factor." O "You can find it in the cell with the row called, df, and the column called, error." O "You can find it in the cell with the column called, df, and the row that has the same...
Find the critical values of a two-tailed test with a 0.10, degrees of freedom in the numerator= 15, and degrees of freedom in the denominator 20. What are the left- and right-hand critical values? Left-hand Right-hand (Round to the nearest hundredth place as needed)
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and supported at Cand D as shown. The degrees of freedom are indicated on the frame. (1) The structural stiffness matrix [K] is related to the applied load vector [P] and the structural displacement vector [4] by: [P] = [K] 141 Construct the structural stiffness matrix [K] and the applied load vector [P] necessary to calculate the structural displacements. (18) (1) Each element stiffness matrix...
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing the stiffness matrices of the individual bars. Note that should be in terms of A. As, A, E, E E, L. and L. Here A, E, and are generic symbols used for cross-sectional area modulus of elasticity, and length, respectively Figure P3-1 Now let As - Ag-A-A.E E, E E and L-L L -L nodes 1 and 4 are fixed and a force Pacts...
What are the differences between truss and beam elements? That is, what degrees of freedom does each one have? What forces do they resist? 4.1 What kind of element would we have by combining the two element (truss and beam) into one? What could that new element be used for? 4.2
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