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Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Consider the frame shown in figure. Suppose that P1 = 5.5 k and P2 = 11 k. Each column has the cross-sectional area indicated. Solve the problem using the cantilever method of analysis. Assume that the internal moment, shear, and normal force in the vertical beam are positive if they act as shown in (Figure 2).
a) Determine (approximately) the normal force at A.
NA = _____ k
Submitted Answers
ANSWER 1: Deduction: -3%
NA = 4.973 k
ANSWER 2: Deduction: -3%
NA = 3.8254 k
ANSWER 3: Deduction: -3%
NA = 5.933 k
Transcribed Image Text:P,
I
G
H
12 ft
-P2
|D
E
F
18 ft
A
-20 ft-
-20 ft-
12 in?
8 in?
10 in?
Transcribed Image Text:Determine (approximately) the normal force at A.
Express your answer using three significant figures.
v View Available Hint(s)
Hint 1. How to approach the problem
Use the cantilever method for statically indeterminate structures to analyze the given frame with lateral loads. Apply the required
assumptions in order to reduce the frame to the one that is statically determinate. Then, use the equations of equilibrium to determine
the required normal force.
Hint 2. What assumptions should be made to solve the problem
Using the cantilever method, the following assumptions apply to a fixed-supported frame.
1. A hinge is placed at the center of each girder since this is assumed to be a point of zero moment.
2. A hinge is placed at the center of each column since this is assumed to be a point of zero moment.
3. The axial stress in a column is proportional to its distance from the centroid of the cross-sectional areas of the columns at a given floor
level.
vec
?
NA =
5.933
k
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