Rigid bar ABCD is loaded and supported as shown. Steel [E = 31300 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.79 in.² and bar (2) has a cross-sectional area of 0.44 in.². After load P is applied, the strain in bar (1) is found to be 880 μe. Assume L₁-69 in., L₂=106 in., a-34 in., b=35 in., and c-27 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. (2) (1) LI B C A Answers: (a) σ₁ = (b) VD= (c) P = i i i a L2 b ksi, 0₂ = in. kips. C i D P ksi.

Rigid bar ABCD is loaded and supported as shown. Steel [E = 31300 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.79 in.² and bar (2) has a cross-sectional area of 0.44 in.². After load P is applied, the strain in bar (1) is found to be 880 μe. Assume L₁-69 in., L₂=106 in., a-34 in., b=35 in., and c-27 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. (2) (1) LI B C A Answers: (a) σ₁ = (b) VD= (c) P = i i i a L2 b ksi, 0₂ = in. kips. C i D P ksi.

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

Section: Chapter Questions

Problem 2.3.10P: A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in...

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

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Rigid bar ABCD is loaded and supported as shown. Steel [E = 31300 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.79 in.²and bar (2) has a cross-sectional area of 0.44 in.². After load P is applied, the strain in bar (1) is found to be 880 μεμε. Assume L₁=69 in., L₂=106 in., a=34 in., b=35 in., and c=27 in. Determine:
(a) the stresses in bars (1) and (2).
(b) the vertical deflection v_D of point D on the rigid bar.
(c) the load P.

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