5. A nail and a hammer are modeled by a linear spring and an incident mass according to the figure. (The nail is supposed to be driven into a piece of very hard wood and cannot move into the wood for the velocity given to the hammer). k The hammer has an initial velocity vo = 5m/s and a mass m= 0.7 kg. The nail is made of steel E = 210 GPa and the cross section is square A = 2 x 2 mm, with a length L = 0.1 m. Determine the maximum force Fmax reached in the contact between hammer and nail and the duration At of the force pulse.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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5. A nail and a hammer are modeled by a linear spring and an incident mass according to the figure.
(The nail is supposed to be driven into a piece of very hard wood and cannot move into the wood
for the velocity given to the hammer).
m
EA
k
The hammer has an initial velocity vo = 5m/s and a mass m= 0.7 kg. The nail is made of steel E
= 210 GPa and the cross section is square A = 2 x 2 mm, with a length L = 0.1 m. Determine the
maximum force Fmax reached in the contact between hammer and nail and the duration At of the
force pulse.
Transcribed Image Text:5. A nail and a hammer are modeled by a linear spring and an incident mass according to the figure. (The nail is supposed to be driven into a piece of very hard wood and cannot move into the wood for the velocity given to the hammer). m EA k The hammer has an initial velocity vo = 5m/s and a mass m= 0.7 kg. The nail is made of steel E = 210 GPa and the cross section is square A = 2 x 2 mm, with a length L = 0.1 m. Determine the maximum force Fmax reached in the contact between hammer and nail and the duration At of the force pulse.
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