The stress field for a beam of length 2l and depth 2c under end bending moments M

Question:

The stress field for a beam of length 2l and depth 2c under end bending moments M (see Fig. 8.2) is given by:

Ox 3M 2,3, dy = 0z = txy=tyz =tzx=0

Fig 8.2

Determine the strain energy density and show that the total strain energy in the beam is given by:

UT= 3M1 2Ec3 M1 El

where I is the section moment of inertia. Assume unit thickness in the z-direction.

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Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

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Question Posted: Jan 15, 2024 05:00 AM

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The stress field for a beam of length 2l and depth 2c under end bending moments M

Question:

Ox 3M 2,3, dy = 0z = txy=tyz =tzx=0

Step by Step Answer:

Given stress field 0 o ...View the full answer

Elasticity Theory Applications And Numerics

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