The two-segment statically indeterminate bar in Fig. has a constant cross-sectional area A -0.8 in². It is made entirely of material that has an elastic, per- fectly-plastic stress-strain behavior illustrated , with oy - 36 ksi and E-30 x 10 ksi. (a) Determine the load Py at which first yielding occurs, and determine the corresponding displacement uy of section B where the load P is applied. (b) Determine the load P at which yielding occurs in the remaining segment of the bar, and determine the corresponding displacement u, of section B. (c) Sketch a load-displacement diagram, that is, sketch a diagram of P versus & up to P 20 in (a) A two-segment bar. (b) A stress-strain diagram for an elastic, perfectly-plastic material.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.6.15P
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I accidentally submitted the wrong question initially. This is the correct one. I do not know how to progress past finding the force at yielding.

The two-segment statically indeterminate bar
in Fig. has a constant cross-sectional area A = 0.8 in².
It is made entirely of material that has an elastic, per-
fectly-plastic stress-strain behavior illustrated
, with oy = 36 ksi and E = 30 × 10' ksi. (a) Determine
the load Py at which first yielding occurs, and determine the
corresponding displacement uy of section B where the load
P is applied. (b) Determine the load Py at which yielding
occurs in the remaining segment of the bar, and determine
the corresponding displacement uy of section B. (c) Sketch
a load-displacement diagram, that is, sketch a diagram of P
versus u up to Py-
20 in.
40 in.
(a) A two-segment bar.
(b) A stress-strain diagram for an elastic,
perfectly-plastic material.
Transcribed Image Text:The two-segment statically indeterminate bar in Fig. has a constant cross-sectional area A = 0.8 in². It is made entirely of material that has an elastic, per- fectly-plastic stress-strain behavior illustrated , with oy = 36 ksi and E = 30 × 10' ksi. (a) Determine the load Py at which first yielding occurs, and determine the corresponding displacement uy of section B where the load P is applied. (b) Determine the load Py at which yielding occurs in the remaining segment of the bar, and determine the corresponding displacement uy of section B. (c) Sketch a load-displacement diagram, that is, sketch a diagram of P versus u up to Py- 20 in. 40 in. (a) A two-segment bar. (b) A stress-strain diagram for an elastic, perfectly-plastic material.
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