The bank in the figure is considered to be a person sitting and the force exerted on the board is given as 300 N. The elasticity module of the boards that make up the bench E = 7 GPa, Calculate the collapse at the point where a person sits, since the width of a board is 150 mm and the height is 30 mm. (Hint: Consider the AB board as if it is built into points A and B.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The bank in the figure is considered to be a person sitting and the force exerted on the board is given as 300 N. The elasticity module of the boards that make up the bench E = 7 GPa, Calculate the collapse at the point where a person sits, since the width of a board is 150 mm and the height is 30 mm. (Hint: Consider the AB board as if it is built into points A and B.)

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Step 1

Consider an inbuilt beam as shown below.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

For an inbuilt beam deflection at the point of action of load can be calculated as,

Mechanical Engineering homework question answer, step 2, image 1

The moment of inertia of the cross-section can be calculated as,

Mechanical Engineering homework question answer, step 2, image 2

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