PROBLEM 1. Determine the deflection at the left overhanging end of the beam loaded as shown below using the two methods indicated in the group of your choice. Choose and use only one group. (No mixing of methods. If you choose group 1, then use only the methods indicated.) A Group 1 Methods: Double Integration Method and Conjugate Beam Method Group 2 Methods: Method of Three Moments and Area Moment Method Assume constant El; E = 200 GPa, I = 1460 x 106 mm². 1.0 B 40 kN/m All distances are in meters. 9.0 8.0 9.0 12.0 200 kNm D P (in kN) E

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Upvote will be given. Please write the complete solutions. No long explanation needed. Box the final answer. Let P = 153 kN
PROBLEM 1.
Determine the deflection at the left overhanging end of the beam loaded as
shown below using the two methods indicated in the group of your choice. Choose and use only one group. (No mixing
of methods. If you choose group 1, then use only the methods indicated.)
Group 1 Methods: Double Integration Method and Conjugate Beam Method
Group 2 Methods: Method of Three Moments and Area Moment Method
Assume constant El; E = 200 GPa, 1 = 1460 x 106 mm².
1.0
B
40 kN/m
All distances are in meters.
9.0
8.0
9.0
12.0
с
200 kNm
P (in kN)
E
PROBLEM 2.
For the same beam in Problem 1, but with the right half of the beam's length having a moment of
inertia only % of the given moment of inertia, determine the deflection at the right overhanging end using the Method
of Virtual Work
Transcribed Image Text:PROBLEM 1. Determine the deflection at the left overhanging end of the beam loaded as shown below using the two methods indicated in the group of your choice. Choose and use only one group. (No mixing of methods. If you choose group 1, then use only the methods indicated.) Group 1 Methods: Double Integration Method and Conjugate Beam Method Group 2 Methods: Method of Three Moments and Area Moment Method Assume constant El; E = 200 GPa, 1 = 1460 x 106 mm². 1.0 B 40 kN/m All distances are in meters. 9.0 8.0 9.0 12.0 с 200 kNm P (in kN) E PROBLEM 2. For the same beam in Problem 1, but with the right half of the beam's length having a moment of inertia only % of the given moment of inertia, determine the deflection at the right overhanging end using the Method of Virtual Work
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Please continue to Solve Problem 1 in Group 1 using the Conjugate Beam Method. Solve in 4 decimal places. Thumbs-up will be given!

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