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Posted: **Mon May 16, 2022 5:52 pm**

: You Have Three 24 Ft Long Wooden 2x6 S And You Want To Nail Them Together In Two Possible Arrangements As Shown Below To 1 (8.48 KiB) Viewed 41 times

: You Have Three 24 Ft Long Wooden 2x6 S And You Want To Nail Them Together In Two Possible Arrangements As Shown Below To 2 (29.69 KiB) Viewed 41 times

: You Have Three 24 Ft Long Wooden 2x6 S And You Want To Nail Them Together In Two Possible Arrangements As Shown Below To 3 (19.94 KiB) Viewed 41 times

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 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 by 5.5 in.

Arrangement A: х Arrangement B: I 2

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. Arrangement B has approximately 3.62 times the stiffness of arrangement A Arrangement A has approximately 7.24 times the stiffness of arrangement B