Question

Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is $12 \mathrm{mm}$ and the inner diameter of each washer is $16 \mathrm{mm},$ which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter $d$ of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.

Name: Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is 12 mm and the inner diameter of each washer is 16 mm, which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter d of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.
Uploaded: 2022-08-25T13:54:29-08:00
Duration: 3 min 50 s
Channel: Adi S

          Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is $12 \mathrm{mm}$ and the inner diameter of each washer is $16 \mathrm{mm},$ which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter $d$ of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.

Added by Timothy G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

08/25/2022

Step 1

The area of the bolt, $A_b = \frac{\pi}{4} \times d^2 = \frac{\pi}{4} \times 12^2 = 113.097 \, \text{mm}^2$. Show more…

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Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is $12 \mathrm{mm}$ and the inner diameter of each washer is $16 \mathrm{mm},$ which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter $d$ of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.