NEW 375 Lecture12(2)

# NEW 375 Lecture12(2) - How Do We Determine the Shear...

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How Do We Determine the Shear Modulus of Elasticity of a Material? The determine G , the shear modulus of elasticity, a specimen of known length and diameter is placed in a torsion testing machine similar to that shown below.

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Measuring the Modulus of Rigidity The applied torque T and the angle of twist φ are measured between a gauge length L. Rearranging our equation for the angle of twist, Usually, to obtain a more reliable value of G, several of these tests are performed and the average value is used. φ = J L T G
SIGN CONVENTION

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Example 1 Consider the shaft shown below which is subjected to four torques. Determine the angle of twist of end A with respect to end D, φ A/D .
Example 1 (Cont.) Segment AB Segment BC Segment CD Calculate torque for each segment through a series of F.B.D.’s

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Torque Diagram + 0 Example 1 (Cont.)
Example 1 (Cont.) JG L JG L JG L JG TL JG TL JG TL JG TL CD BC AB CD BC AB D A 10 70 80 06 . 0 / -

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## This note was uploaded on 03/27/2008 for the course ENGIN 375 taught by Professor Miller during the Spring '08 term at University of Cincinnati.

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NEW 375 Lecture12(2) - How Do We Determine the Shear...

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