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A 100 mm long and 50 mm diameter steel rod fits snugly between two rigid walls 100 mm apart at room temperature. Young's modulus of elasticity and coefficient of linear expansion of steel are 2 x 105 N/mm2 and 12 x 10-6/°C respectively. The stress developed in the rod due to a 100°C rise in temperature will be 
  • a)
    6 x 10-11 N/mm2
  • b)
    6 x 10-10 N/mm
  • c)
    240 N/mm2
  • d)
    2400 N/mm2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A 100 mm long and 50 mm diameter steel rod fits snugly between two rig...
l = 100 mm, d = 50 mm,
E = 2 x 105 N/mm2, α = 12 x 10-6/°C 
δl = αlΔT, ε = δl/l, σ = E = Eα
= 2 x 105 x 12 x 10-6 x 100 = 240 N/mm2
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Most Upvoted Answer
A 100 mm long and 50 mm diameter steel rod fits snugly between two rig...
C respectively. If the temperature of the rod is increased by 100 degrees Celsius, what will be the change in length of the rod?
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A 100 mm long and 50 mm diameter steel rod fits snugly between two rigid walls 100 mm apart at room temperature. Youngs modulus of elasticity and coefficient of linear expansion of steel are 2 x 105 N/mm2 and 12 x 10-6/°C respectively. The stress developed in the rod due to a 100°C rise in temperature will bea)6 x 10-11 N/mm2b)6 x 10-10 N/mm2c)240 N/mm2d)2400 N/mm2Correct answer is option 'C'. Can you explain this answer?
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A 100 mm long and 50 mm diameter steel rod fits snugly between two rigid walls 100 mm apart at room temperature. Youngs modulus of elasticity and coefficient of linear expansion of steel are 2 x 105 N/mm2 and 12 x 10-6/°C respectively. The stress developed in the rod due to a 100°C rise in temperature will bea)6 x 10-11 N/mm2b)6 x 10-10 N/mm2c)240 N/mm2d)2400 N/mm2Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 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 100 mm long and 50 mm diameter steel rod fits snugly between two rigid walls 100 mm apart at room temperature. Youngs modulus of elasticity and coefficient of linear expansion of steel are 2 x 105 N/mm2 and 12 x 10-6/°C respectively. The stress developed in the rod due to a 100°C rise in temperature will bea)6 x 10-11 N/mm2b)6 x 10-10 N/mm2c)240 N/mm2d)2400 N/mm2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 100 mm long and 50 mm diameter steel rod fits snugly between two rigid walls 100 mm apart at room temperature. Youngs modulus of elasticity and coefficient of linear expansion of steel are 2 x 105 N/mm2 and 12 x 10-6/°C respectively. The stress developed in the rod due to a 100°C rise in temperature will bea)6 x 10-11 N/mm2b)6 x 10-10 N/mm2c)240 N/mm2d)2400 N/mm2Correct answer is option 'C'. Can you explain this answer?.
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