Summary Notes for Exam #1
EQUILIBRIUM EQUATIONS
FX = 0;
FY = 0;
MZ = 0
EQUATION OF CONDITION
The internal bending moment at an internal hinge equals zero.
TRUSS ANALYSIS
Method of Joints:
Two equilibrium equations per truss joint.
Method of Sections: T
Beam Example
Calculate and draw the response
functions for RA, MA, RC and VB.
1
Example Truss Structure
Calculate and draw the response
functions for Ax, Ay, FCI and FCD.
2
Example Truss Problem:
Application of Loads to
Maximize Response
ML
CM
3
Place
UDL
Summary Equations for Exam #2
DEFINITION: An influence line is a graph of a response function of a structure as a function of
the position of a downward unit load moving across the structure.
RECALL: Influence lines are piecewise linear for all statically
Summary Notes for Exam #2
DEFINITION: An influence line is a graph of a response function of a structure as a function of
the position of a downward unit load moving across the structure.
RECALL: Influence lines are piecewise linear for all statically det
CE 382
Exam 3 Review Session
Review Session
Qualitative Influence Lines for
Statically Indeterminate Structures:
Muller
Muller-Breslaus Principle
Principle
The influence line for a force (or moment)
response function is given by the deflected
shape of the
STRUCTURAL ANALYSIS THIRD EXAM1
Exam 3 is Thursday, June 23, 2011 from 5:30 PM 7:30 PM EDT, 4:30 6:30 PM CDT.
This two-hour exam is worth 30% of your grade.
The exam will be closed book and notes. However, you can bring two pages of
handwritten summary no
Designer
September 9, 2010
1:22 PM
Checked By:_
:
Example Beam Problem
Global
Display Sections for Member Calcs
2
Joint Coordinates
Joint Label
X Coordinate
(ft)
Y Coordinate
(ft)
A
B
C
D
0
16
24
32
0
0
0
0
Boundary Conditions
Joint Label
X Translation
(k
Designer
September 9, 2010
1:43 PM
Checked By:_
:
Example Truss Problem
Global
Display Sections for Member Calcs
2
Joint Coordinates
Joint Label
X Coordinate
(m)
Y Coordinate
(m)
A
B
C
D
E
F
G
0
4
8
12
16
12
4
0
4
4
4
0
2
2
Boundary Conditions
Joint Label
q
P
B
A
C
D
Figure F.1
(a) Loaded Portal Frame
1
BC
MC
BC
MB
BC
TB
BC
VC
BC
VB
AB
TB
CD
MC
AB
VB
BC
TC
CD
TC
CD
VC
AB
MB
F.1 (b)
AB
MA
AB
VA
AB
TA
CD
MD
CD
VD
CD
TD
2
The positive sign convention
consistent with beam theory is
shown in F.1(b). As seen fro