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A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________
    Correct answer is '(147.99)'. Can you explain this answer?
    Verified Answer
    A fillet weld is simultaneously subjected to factored normal and shear...
    Factored normal stress, fa = 120 MPa
    Factored shear stress, q = 50 MPa
    According to IS-800 : 2007, clause 10.5.10.1.1
    The equivalent stress, 

    Note : The above check for combination of stresses need not be done for fillet welds where the sum of normal and shear stresses does not exceed  [clause 10.5.10.1.2(b)] Hence, sum of normal 
    and shear stresses = 120 + 50 = 170 MPa ≥ fwd ( = 184.75 MPa)
    So, the above check need not be done.
    So, weld is designed for a resultant shear stress of (fr )

    So, the design stress is  however equivalent stress 147.99 MPa.
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    Most Upvoted Answer
    A fillet weld is simultaneously subjected to factored normal and shear...
    Fillet Weld and Equivalent Stress Calculation

    To determine the equivalent stress in a fillet weld subjected to normal and shear stresses, we can use the following formula:

    Equivalent Stress = √(Normal Stress² + 3 x Shear Stress²)

    Given data:
    Normal Stress = 120 MPa
    Shear Stress = 50 MPa

    Calculating the Equivalent Stress:
    Using the given values in the formula, we can calculate the equivalent stress as follows:

    Equivalent Stress = √(120² + 3 x 50²)
    = √(14400 + 3 x 2500)
    = √(14400 + 7500)
    = √(21900)
    ≈ 147.99 MPa (rounded to two decimal places)

    Therefore, the equivalent stress in the fillet weld is approximately 147.99 MPa.

    Explanation:
    - Fillet welds are commonly used to join two pieces of metal at a 90-degree angle.
    - In this case, the fillet weld is subjected to both normal and shear stresses.
    - Normal stress is the stress that acts perpendicular to the surface of the weld, while shear stress acts parallel to the surface.
    - The equivalent stress is a combination of the normal and shear stresses, taking into account their relative magnitudes.
    - The formula for calculating equivalent stress is derived from the Von Mises yield criterion, which states that failure occurs when the equivalent stress exceeds the yield strength of the material.
    - By using the formula mentioned above, we can calculate the equivalent stress based on the given normal and shear stresses.
    - The result is rounded to two decimal places, as per the given requirement.

    Conclusion:
    The equivalent stress in the fillet weld, considering the given normal and shear stresses, is approximately 147.99 MPa. This value represents the combined effect of both normal and shear stresses on the weld and is used to determine if the weld is within the acceptable stress limits specified by IS 800 : 2007.
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    A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________Correct answer is '(147.99)'. Can you explain this answer?
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    A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________Correct answer is '(147.99)'. 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 fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________Correct answer is '(147.99)'. 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 fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________Correct answer is '(147.99)'. Can you explain this answer?.
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