Direct integration of a beam
Direct integration is a structural analysis method for measuring internal shear, internal moment, rotation, and deflection of a beam. For a beam with an applied weight , taking downward to be positive, the internal shear force is given by taking the negative integral of the weight: The internal moment is the integral of the internal shear: = The angle of rotation from the horizontal, , is the integral of the internal moment divided by the product of the Young's modulus and the area moment of inertia: Integrating the angle of rotation obtains the vertical displacement :
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Direct integration of a beam
Direct integration is a structural analysis method for measuring internal shear, internal moment, rotation, and deflection of a beam. For a beam with an applied weight , taking downward to be positive, the internal shear force is given by taking the negative integral of the weight: The internal moment is the integral of the internal shear: = The angle of rotation from the horizontal, , is the integral of the internal moment divided by the product of the Young's modulus and the area moment of inertia: Integrating the angle of rotation obtains the vertical displacement :
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Direct integration is a struct ...... ns the vertical displacement :
@en
التكامل المباشر هي طريقة من طر ...... و تكامل يعطي الإزاحة السفلية :
@ar
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Direct integration is a struct ...... ns the vertical displacement :
@en
التكامل المباشر هي طريقة من طر ...... و تكامل يعطي الإزاحة السفلية :
@ar
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Direct integration of a beam
@en
تكامل مباشر لكمرة
@ar