Solve by the indirect Croos method and calculate the second column of the lateral stiffness matrix (Ri2, 02 = 1) of the cantilever wall, which can be achieved by applying the Cross method (only with rotational degrees of freedom). KB Where: kB=22500 Km=18352.94 fp=0.27 uij=-36279 (3) → R32 2.5 m km d2 = 1 → R22 (2) (3) d2 = 1 R12 R32 R22 ล km (1) Km Ks 2.5 m R12 2.5 m KB = Ks Foundation rotation stiffness Km=3E1/[h3(1+g/2)]= rig, to turn cantilever wall fp (1-g)/(2+g) plate transport factor g=6 Elpf/G Ap h2 uij (cantilever wall) = - 6 Elpd/(h2 (1+2 g)) Calculate Mij times Cross Then. calculate Ri2 by equilibrium Calculation of the Second Column of the Lateral Stiffness Matrix {Ri2} in an Axis Vertical 3 Levels The rest of the columns of the lateral stiffness matrix ({ Ri1} and {Ri3 }), corresponding to the system shown in the previous Fig, are obtained by releasing levels 1 and 3, independently, following the indicated process, which leads for each vertical axis to: | R11 R12 R13 | [R] R21 R22 R23 symmetrical about the diagonal | R31 R32 R33 |
Solve by the indirect Croos method and calculate the second column of the lateral stiffness matrix (Ri2, 02 = 1) of the cantilever wall, which can be achieved by applying the Cross method (only with rotational degrees of freedom). KB Where: kB=22500 Km=18352.94 fp=0.27 uij=-36279 (3) → R32 2.5 m km d2 = 1 → R22 (2) (3) d2 = 1 R12 R32 R22 ล km (1) Km Ks 2.5 m R12 2.5 m KB = Ks Foundation rotation stiffness Km=3E1/[h3(1+g/2)]= rig, to turn cantilever wall fp (1-g)/(2+g) plate transport factor g=6 Elpf/G Ap h2 uij (cantilever wall) = - 6 Elpd/(h2 (1+2 g)) Calculate Mij times Cross Then. calculate Ri2 by equilibrium Calculation of the Second Column of the Lateral Stiffness Matrix {Ri2} in an Axis Vertical 3 Levels The rest of the columns of the lateral stiffness matrix ({ Ri1} and {Ri3 }), corresponding to the system shown in the previous Fig, are obtained by releasing levels 1 and 3, independently, following the indicated process, which leads for each vertical axis to: | R11 R12 R13 | [R] R21 R22 R23 symmetrical about the diagonal | R31 R32 R33 |
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Solve by the indirect Croos method and calculate the second column of the lateral stiffness matrix (Ri2, 02 = 1) of
the cantilever wall, which can be achieved by applying the Cross method (only with rotational degrees of
freedom).
KB
Where:
kB=22500
Km=18352.94
fp=0.27
uij=-36279
(3)
→ R32
2.5 m
km
d2 = 1
→ R22
(2)
(3)
d2 = 1
R12
R32
R22
ล
km
(1)
Km
Ks
2.5 m
R12
2.5 m
KB = Ks Foundation rotation stiffness
Km=3E1/[h3(1+g/2)]= rig, to turn cantilever wall
fp (1-g)/(2+g) plate transport factor
g=6 Elpf/G Ap h2
uij (cantilever wall) = - 6 Elpd/(h2 (1+2 g))
Calculate Mij times Cross
Then. calculate Ri2 by equilibrium
Calculation of the Second Column of the Lateral Stiffness Matrix {Ri2} in an Axis Vertical 3 Levels
The rest of the columns of the lateral stiffness matrix ({ Ri1} and {Ri3 }), corresponding to the system shown in the previous Fig,
are obtained by releasing levels 1 and 3, independently, following the indicated process, which leads for each vertical axis to:
| R11 R12 R13 |
[R] R21 R22 R23 symmetrical about the diagonal
| R31 R32
R33 |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdeab366c-6932-4a7a-b667-3158903f39e3%2F168e6e11-ca26-47b5-ab62-d934bd9b14c2%2F1d0v03f_processed.png&w=3840&q=75)
Transcribed Image Text:Solve by the indirect Croos method and calculate the second column of the lateral stiffness matrix (Ri2, 02 = 1) of
the cantilever wall, which can be achieved by applying the Cross method (only with rotational degrees of
freedom).
KB
Where:
kB=22500
Km=18352.94
fp=0.27
uij=-36279
(3)
→ R32
2.5 m
km
d2 = 1
→ R22
(2)
(3)
d2 = 1
R12
R32
R22
ล
km
(1)
Km
Ks
2.5 m
R12
2.5 m
KB = Ks Foundation rotation stiffness
Km=3E1/[h3(1+g/2)]= rig, to turn cantilever wall
fp (1-g)/(2+g) plate transport factor
g=6 Elpf/G Ap h2
uij (cantilever wall) = - 6 Elpd/(h2 (1+2 g))
Calculate Mij times Cross
Then. calculate Ri2 by equilibrium
Calculation of the Second Column of the Lateral Stiffness Matrix {Ri2} in an Axis Vertical 3 Levels
The rest of the columns of the lateral stiffness matrix ({ Ri1} and {Ri3 }), corresponding to the system shown in the previous Fig,
are obtained by releasing levels 1 and 3, independently, following the indicated process, which leads for each vertical axis to:
| R11 R12 R13 |
[R] R21 R22 R23 symmetrical about the diagonal
| R31 R32
R33 |
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