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A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)
    Correct answer is '9.08'. Can you explain this answer?
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    A pre-tensioned concrete member of section 200 mm x 250 mm contains t...
    The stress in the concrete can be determined using the principle of static equilibrium and the concept of modular ratio.

    Given data:
    - Section dimensions: 200 mm x 250 mm
    - Tendon area: 500 mm2
    - Pre-stress in tendons: 1000 N/mm2
    - Modular ratio: 10

    To find the stress in the concrete, we need to determine the force in the tendons and the force in the concrete.

    1. Determining the force in the tendons:
    The force in the tendons can be calculated using the formula:
    Force = Stress x Area

    Given that the stress in the tendons is 1000 N/mm2 and the area of the tendons is 500 mm2, we can calculate the force in the tendons as:
    Force = 1000 N/mm2 x 500 mm2 = 500000 N

    2. Determining the force in the concrete:
    The force in the concrete can be calculated using the principle of static equilibrium. Since the tendons are located at the center of gravity of the section, the forces in the concrete above and below the tendons are equal and opposite.

    Let's assume the force in the concrete is Fc. Therefore, the total force in the concrete is 2Fc.

    3. Applying the principle of static equilibrium:
    According to the principle of static equilibrium, the sum of all forces acting on a body in equilibrium is zero.

    In this case, the force in the tendons (500000 N) and the total force in the concrete (2Fc) should balance each other out. Therefore, we can write the equation as:
    500000 N + 2Fc = 0

    Solving for Fc:
    2Fc = -500000 N
    Fc = -250000 N

    Since stress is defined as force divided by area, the stress in the concrete can be calculated as:
    Stress = Fc / Area

    Given that the area of the concrete section is 200 mm x 250 mm = 50000 mm2, we can calculate the stress in the concrete as:
    Stress = -250000 N / 50000 mm2 = -5 N/mm2

    However, stress is always considered as a positive value, so taking the absolute value of the stress, we get:
    Stress = | -5 N/mm2 | = 5 N/mm2

    4. Taking into account the modular ratio:
    The modular ratio relates the stress in the concrete to the stress in the steel. In this case, the modular ratio is given as 10.

    The stress in the concrete can be related to the stress in the tendons using the modular ratio:
    Stress in concrete = Modular ratio x Stress in tendons

    Substituting the values:
    Stress in concrete = 10 x 1000 N/mm2 = 10000 N/mm2

    However, the stress in the concrete is given as 5 N/mm2, which is a positive value. So, we need to multiply the calculated stress by -1 to get a positive value:
    Stress in concrete = -1 x 5 N/mm2 = -5 N/mm2

    Finally, taking the absolute value of the stress, we get:
    Stress in concrete = | -5 N/mm2 | = 5 N/mm2

    Therefore, the stress in the concrete is 5 N/mm2, which is not the correct answer.

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    Community Answer
    A pre-tensioned concrete member of section 200 mm x 250 mm contains t...
    B = 200, D = 250, Ast = 500 mm2
    Ps = 1000 N/mm2, m = 10, Pc = ?
    Pre-tension acts on centre of gravity of the section
    P = Ast.Ps = 1000 x 500 N
    = 500 kN
    Now, strain in concrete = strain in steel
    Now, strain in concrete = 10.10/EC
    Stress in steel =
    = 101.01 N/mm2 (loss)
    Final stress = 1000 - 101.01 = 899 N/mm2
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    A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer?
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    A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer?.
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