A concentrated load P is supported by two inclined bars as shown. Bar (1) is made of cold-rolled red brass [E = 16,700 ksi; α = 10.4 × 10−6 /°F] and has a cross-sectional area of 0.205 in.2. Bar (2) is made of 6061-T6 aluminum [E = 10,000 ksi; α = 13.1 × 10−6 /°F] and has a cross-sectional area of 0.370 in.2. After load P has been applied and the temperature of the entire assembly has increased by 56°F, the total strain in bar (1) is measured as 1000 με (elongation). Assume θ = 50° and β = 53°.(a) Determine the stress in bar (1).(b) Determine the force in bar (1).(c) Determine the magnitude of load P. C(2)A(1)ВV P

Strain by temperature:εT=αΔT=10.4×10-656=0.0005824In bar-1ε1=0.001-0.0005824=0.0004176

Answered: A concentrated load P is supported by…

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter8: Engineering Materials

Section: Chapter Questions

Problem 85CQ

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A concentrated load P is supported by two inclined bars as shown. Bar (1) is made of cold-rolled red brass [E = 16,700 ksi; α = 10.4 × 10⁻⁶ /°F] and has a cross-sectional area of 0.205 in.². Bar (2) is made of 6061-T6 aluminum [E = 10,000 ksi; α = 13.1 × 10⁻⁶ /°F] and has a cross-sectional area of 0.370 in.². After load P has been applied and the temperature of the entire assembly has increased by 56°F, the total strain in bar (1) is measured as 1000 με (elongation). Assume θ = 50° and β = 53°.

(a) Determine the stress in bar (1).
(b) Determine the force in bar (1).
(c) Determine the magnitude of load P.

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