Three 50 x 100 mm boards are nailed together to form a beam that is subjected to a vertical shear force V = 1500 N. Knowing that the allowable shearing force in each nail is 400 N, determine the largest, longitudinal spacing s that can be used between each pair of nails. All dimensions are millimeters (mm) 50 50 50 Scanned with CamScanner 100

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Transcription:**

Three 50 x 100 mm boards are nailed together to form a beam that is subjected to a vertical shear force V = 1500 N. Knowing that the allowable shearing force in each nail is 400 N, determine the largest longitudinal spacing \( s \) that can be used between each pair of nails.

**Diagram Explanation:**

The diagram depicts a stack of three boards, each measuring 50 mm in height and 100 mm in width, nailed together. The vertical shear force \( V \) is applied downward on the beam. The diagram includes:

- Arrows labeled \( s \) indicating the longitudinal spacing between the nails.
- Three horizontal sections, each 50 mm high, showing the arrangement of the boards.
- A vertical arrow labeled \( V \), representing the shear force applied.
- The entire configuration's dimension is noted as being in millimeters (mm).

The task is to calculate the maximum allowable spacing \( s \) between the nails such that the shear force in each nail does not exceed 400 N.
Transcribed Image Text:**Transcription:** Three 50 x 100 mm boards are nailed together to form a beam that is subjected to a vertical shear force V = 1500 N. Knowing that the allowable shearing force in each nail is 400 N, determine the largest longitudinal spacing \( s \) that can be used between each pair of nails. **Diagram Explanation:** The diagram depicts a stack of three boards, each measuring 50 mm in height and 100 mm in width, nailed together. The vertical shear force \( V \) is applied downward on the beam. The diagram includes: - Arrows labeled \( s \) indicating the longitudinal spacing between the nails. - Three horizontal sections, each 50 mm high, showing the arrangement of the boards. - A vertical arrow labeled \( V \), representing the shear force applied. - The entire configuration's dimension is noted as being in millimeters (mm). The task is to calculate the maximum allowable spacing \( s \) between the nails such that the shear force in each nail does not exceed 400 N.
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