384 Chapter 10 I Work—Energy Methods for Computing Deflections
EXAMPLE 10.7
(1) Determine the relative movement between joints B and E , along the dia—
gonal line between them, produced by the 60—kip load at joint F (see
Figure 10.12a). Area of bars A
CEE 4550
Homework Assignment 6
Fall 2013
Due: Wednesday, September 25th
I. (25) For the beam shown below, ﬁnd the rotation at A and the moment at B.
E is constant.
2. (40) For the beam show below, ﬁnd the reactions at B due to a unit support displacem
HW #9
Due Friday, October 25th
1. (80) Sequential Construction Probiem
A.
Construction Sequence i
The cantilever beam shown below is subjected to a uniform load of 1 kip/ft. Later, a truss
member is added as also shown below without removing the l kip/ft
Name:
CEE 4550
A :ExamZ
1—3 pm or 2—4pm
October 19, 2012
' Fan 2012 * ' _
' 100 Points
Closed book -
one page of notes allowed and calculators maybe used.
No Ipods, Ipads, PDA’TS or computers. Turn off-all cell phones and
do not have them on yOur desk. ‘
Name:
CEE 4550
Exam 1
Fall 2012
100 Points
Closed book
One page of notes allowed
No PDA’s or computers. Turn off all cell phones. and do not havethem
on the desk.
Show all work! V I. For the structures shown below, state where the structure is stable or u
Name:
CEE 4550
Exam 3
Fall 2012
100 Points
Closed book. One page of notes allowed.
Time: 1—3 pm and 2—4 pm, Friday, November 16th
No computers, cell phones, MP3 players, iPods, or PDA’s can be used during
exam. Remove all of these devices from your desk a
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Virtual Work Method (Unit Load Method Leet Ch. 10)
The most general method for finding displacements and rotations. Can be used
to find deflection and/or rotation in any type of structure due to any cause.
P-System (real): Actual loads, temperature change
Local and Global Axes
Kassimali, 8.3 Space Frames. Global axes: , ,
Axial direction: local
Location directions ( and ) with zero
angle of roll are chosen such that
and form a vertical plane (parallel to
global )
As a result, is horizontal
(perpendicular
Space truss bar
Length of AB:
Components of axial force:
Courtesy of Kassimali (2011), Structural Analysis.
Zero bars
Case 1:
Known that FAD = 0 and FAE = 0 (analyzed from other
parts). AB and AC are two remaining unknowns.
No load on the joint.
As a r
Chapter 2. Matrix Analysis of Plane Trusses
2.1. Global and Local Coordinates (Kassimali 3.1)
1
Each member has a beginning joint,
and an end joint.
Arrows mark beginning-to-end
directions.
2
2.2. Degrees of Freedom (Kassimali 3.2)
Degrees of freedom:
Flexibility (Superposition/Force)
Method
For an indeterminate structure with SI = n, assign redundant force (moment)
components: , , , .
In general selection of redundants is not unique, but the released structure with
redundants removed must remain stabl
Chapter 4. Matrix Analysis of Plane Frames
4.1. Analytical Model (Kassimali 6.1)
A plane frame is divided into members and joints so that: (a) all members are
straight and prismatic; (b) all external reactions act only at the joints.
1
A free joint has t
6.1
M
6.2
American Association of State Highway and
Transportation Officials (ASSHTO) requires
major highway bridges must be designed to
carry in each lane either the standard 72-kip
HS 20-44 truck (Fig 25a), or a lane loading
consisting of the uniformly
=
UM: unbalanced moment
UM = FEMBA + FEMBC
FEMBC = 0
+
DEM: distributed end moment
COM: carry-over moment
UM + DEMBA + DEMBC = 0
All moments and rotation angles : +
DEMBA + DEMBC = UM
1
Example 13.2 in Leet
2
Modification of Stiffness
5
Example 13.4 in L
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