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A prismatic linearly elastic bar of length, L, cross-sectional area A, and made up of a material with Young’s modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2, the strain energies stored in the bar are U1 and U2, respectively.

If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2), the correct relationship is
  • a)
    U = U1 – U2
  • b)
    U = U1 + U2
  • c)
    U < U1 + U2
  • d)
    U > U1 + U2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A prismatic linearly elastic bar of length, L, cross-sectional area A,...



(P1 +P2 )2 > P12 +P22
U > U1 + U2
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A prismatic linearly elastic bar of length, L, cross-sectional area A, and made up of a material with Young’s modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2, the strain energies stored in the bar are U1 and U2, respectively.If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2), the correct relationship isa)U = U1 – U2b)U = U1 + U2c)U < U1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer?
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A prismatic linearly elastic bar of length, L, cross-sectional area A, and made up of a material with Young’s modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2, the strain energies stored in the bar are U1 and U2, respectively.If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2), the correct relationship isa)U = U1 – U2b)U = U1 + U2c)U < U1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A prismatic linearly elastic bar of length, L, cross-sectional area A, and made up of a material with Young’s modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2, the strain energies stored in the bar are U1 and U2, respectively.If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2), the correct relationship isa)U = U1 – U2b)U = U1 + U2c)U < U1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A prismatic linearly elastic bar of length, L, cross-sectional area A, and made up of a material with Young’s modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2, the strain energies stored in the bar are U1 and U2, respectively.If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2), the correct relationship isa)U = U1 – U2b)U = U1 + U2c)U < U1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer?.
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