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Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
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:P, I G H 12 ft -P2 |D E F 18 ft A -20 ft- -20 ft- 12 in? 8 in? 10 in?
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 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining
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 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining
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