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(1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi, α= 9.4 × 10−6/°F] bar with a cross-sectional area of 1.00 in.2. Bar (2) is a 48-in.-long aluminum alloy [E = 9200 ksi, α= 12.6 × 10−6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=30 in., L2=48 in., a=32 in., b=44 in., and c=14 in. If a concentrated load of P = 29 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine:

(1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi, α= 9.4 × 10−6/°F] bar with a cross-sectional area of 1.00 in.2. Bar (2) is a 48-in.-long aluminum alloy [E = 9200 ksi, α= 12.6 × 10−6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=30 in., L2=48 in., a=32 in., b=44 in., and c=14 in. If a concentrated load of P = 29 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine:

Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter7: Making Strong Materials
Section: Chapter Questions
Problem 49CQ
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Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi, α= 9.4 × 10−6/°F] bar with a cross-sectional area of 1.00 in.2. Bar (2) is a 48-in.-long aluminum alloy [E = 9200 ksi, α= 12.6 × 10−6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=30 in., L2=48 in., a=32 in., b=44 in., and c=14 in. If a concentrated load of P = 29 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine:
(a) the normal stresses in bars (1) and (2).
(b) the normal strains in bars (1) and (2).
(c) the deflection of the rigid bar at point D.

  • Solve for F2 and F1.

    Answers: F1 =     kips,     F2 =       kips.
  • Determine the normal stress in each bar. Use positive if tensile, negative if compressive.

    Answers: σ1=      ksi,     σ2=       ksi.
  • Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive.

    Answers: ε1=     με,    ε2=     με.
  • Determine the deflection of the rigid bar ABCD at point C. A positive deflection is down.

    Answer: vC =   in.
  • Determine the deflection of the rigid bar ABCD at point D. A positive deflection is down.

    Answer: vD = in.
(2) L2 A B D L1 (1) a b
Transcribed Image Text:(2) L2 A B D L1 (1) a b
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ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning
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