You have three 24 ft long wooden 2-6's and you want to nail them together in two possible arrangements as shown below to make the stiffest possible beam. The stiffness of a beam is proportional to the moment of inertia of the beam's cross-section about a horizontal axis passing through its centroid The actual dimensions of nominal 2-6 lumber are 1.5 in t by 5.5 in Arrangement A: Arrangement B: Which of the following option is correct? O Arrangement A has approximately 3.62 times the stiffness of arrangement B O Both arrangements A & B are equally stiff. O Arrangement B has approximately 3.62 times the stiffness of arrangement A O Arrangement A has approximately 7.24 times the stiffness of arrangement B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Physics
You have three 24 ft long wooden 2x6's and you want to nail them together in two possible arrangements as shown below to make the stifest possible
beam. The stiffness of a beam is proportional to the moment of inertia of the beam's cross-section about a horizontal axis passing through its centroid. The
actual dimensions of nominal 2x6 lumber are 1.5 in by 5.5 in.
Arrangement A:
Arrangement B:
Which of the following option is correct?
O Arrangement A has approximately 3.62 times the stiffness of arrangement B
O Both arrangements A & B are equally stiff.
O Arrangement B has approximately 3.62 times the stiffness of arrangement A
O Arrangement A has approximately 7.24 times the stiffness of arrangement B
Transcribed Image Text:Physics You have three 24 ft long wooden 2x6's and you want to nail them together in two possible arrangements as shown below to make the stifest possible beam. The stiffness of a beam is proportional to the moment of inertia of the beam's cross-section about a horizontal axis passing through its centroid. The actual dimensions of nominal 2x6 lumber are 1.5 in by 5.5 in. Arrangement A: Arrangement B: Which of the following option is correct? O Arrangement A has approximately 3.62 times the stiffness of arrangement B O Both arrangements A & B are equally stiff. O Arrangement B has approximately 3.62 times the stiffness of arrangement A O Arrangement A has approximately 7.24 times the stiffness of arrangement B
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