2. A beam of length L is embedded in concrete walls. If a constant load 푊 is distributed evenly along its length, the beam takes the shape of the deflection curve 푦=−푊24퐸퐼 푥4+푊퐿12퐸퐼 푥3−푊퐿224퐸퐼푥2 ,
where 퐸 and 퐼 are constants which depend on the material of the beam and the shape of its cross section. Sketch the graph of the deflection curve including all the details. Where does the maximum deflection occur, and what is its magnitude?

Question

2. A beam of length L is embedded in concrete walls. If a constant load 푊 is distributed evenly along its length, the beam takes the shape of the deflection curve 푦=−푊24퐸퐼 푥4+푊퐿12퐸퐼 푥3−푊퐿224퐸퐼푥2 ,
where 퐸 and 퐼 are constants which depend on the material of the beam and the shape of its cross section. Sketch the graph of the deflection curve including all the details. Where does the maximum deflection occur, and what is its magnitude?

anonymous · Answer

𝑦=−𝑊24𝐸𝐼 𝑥4+𝑊𝐿12𝐸𝐼 𝑥3−𝑊𝐿224𝐸𝐼𝑥2 ,