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Stiffness and Bending Introduction (刚度和弯曲的介绍)
Stiffness and Bending
Youngs Modulus | Moments of Inertia | Bending Configurations | Evaluation Tools
Introduction
One very common problem that students have in 2.007 is not making their arm or structures stiff enough. This
is a problem because the arms and structures usually need to move or support things. A lack of stiffness is
very common cause of machine unreliability.
Remember from 2.001 that the following factors need to be known to calculate the stiffness of something.
The Youngs Modulus [E]:
This is a material property that measures the stress/strain.
The Cross-Sectional Inertia [I]:
This is determined by the cross sectional geometry of the arm.
The Loading Configuration:
This gives your equation to calculate the the deflection. Typical configurations and their equations are
listed below.
Youngs Modulus
Young Modulus Shear Modulus Poissons
Material E G Ratio
ksi GPa ksi GPa v
Aluminum (pure)
10,000 70 3,800 26 0.33
Aluminum alloys
6061-T6
10,000 70 3,800 26 0.33
7075-T6
10,400 72 3,900 27 0.33
Steel
29,000 190-210 11,300 75-80 0.27-0.30
Delrin
3.1 0.35
Moments of Inertia
Cross Section Inertia
This is an approximation of a simple truss, ingoring the cross members.
Both upper and lower members ha
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