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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
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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