*2.5-11 A rigid triangular frame is pivoted at C and held by two identical horizontal wires at points A and B (see figure). Each wire has axial rigidity EA = 120 k and coefficient of thermal expansion a = 12.5 x 10-6F. (a) If a vertical load P = 500 lb acts at point D, what are the tensile forces TA and Tg in the wires at A and B, respec- tively? (b) If, while the load P is acting, both wires have their temperatures raised by 180°F, what are the forces TA and Tg? (c) What further increase in temperature will cause the wire at B to become slack? D P - 2b-

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
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Problem 2.5.15P: A rigid triangular frame is pivoted at C and held by two identical horizontal wires at points A and...
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*2.5-11 A rigid triangular frame is pivoted at C and held by
two identical horizontal wires at points A and B (see figure).
Each wire has axial rigidity EA = 120 k and coefficient of
thermal expansion a = 12.5 x 10-PF.
(a) If a vertical load P = 500 lb acts at point D, what are
the tensile forces TA and Tg in the wires at A and B, respec-
tively?
(b) If, while the load P is acting, both wires have their
temperatures raised by 180°F, what are the forces TA and Tg?
(c) What further increase in temperature will cause the
wire at B to become slack?
D
2b
Transcribed Image Text:*2.5-11 A rigid triangular frame is pivoted at C and held by two identical horizontal wires at points A and B (see figure). Each wire has axial rigidity EA = 120 k and coefficient of thermal expansion a = 12.5 x 10-PF. (a) If a vertical load P = 500 lb acts at point D, what are the tensile forces TA and Tg in the wires at A and B, respec- tively? (b) If, while the load P is acting, both wires have their temperatures raised by 180°F, what are the forces TA and Tg? (c) What further increase in temperature will cause the wire at B to become slack? D 2b
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