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A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)
  • a)
    a α Δ T
  • b)
    μ a α Δ T
  • c)
    a α T (1 + μ)
  • d)
    a α Δ T (1 + 2μ)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A steel plate of side ‘a’ (2d) is enclosed in a closely fi...
σx = 0
σy = −αTE
εy = −αT
εx = −με= μαT = δa/a
ϵx = Free expansion due to temperature change + Expansion due to lateral strain
= a α Δ T + μ a α Δ T (due to y direction)
= a α Δ T (1 + μ)
 
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A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)a)a α Δ Tb)μ a α Δ Tc)a α T (1 + μ)d)a α Δ T (1 + 2μ)Correct answer is option 'C'. Can you explain this answer?
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A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)a)a α Δ Tb)μ a α Δ Tc)a α T (1 + μ)d)a α Δ T (1 + 2μ)Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)a)a α Δ Tb)μ a α Δ Tc)a α T (1 + μ)d)a α Δ T (1 + 2μ)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)a)a α Δ Tb)μ a α Δ Tc)a α T (1 + μ)d)a α Δ T (1 + 2μ)Correct answer is option 'C'. Can you explain this answer?.
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