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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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  • التكامل المباشر هي طريقة من طرق التحليل الإنشائي لقياس قوة القص الداخلية، العزوم الداخلي، دوران، وإنحناء الكمرة. عند تطبيق وزن ، يتم حساب القص الداخلي عن طريق تكامل: العزم الداخلي M(x) هو تكامل القص الداخلي: = زاوية دوران من الأفقي،، هو تكامل العزم الداخلي مقسوم علي محصلة ضرب معامل يونغ مع عزم القصور الذاتي: و تكامل يعطي الإزاحة السفلية : (ar)
  • 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 : (en)
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  • التكامل المباشر هي طريقة من طرق التحليل الإنشائي لقياس قوة القص الداخلية، العزوم الداخلي، دوران، وإنحناء الكمرة. عند تطبيق وزن ، يتم حساب القص الداخلي عن طريق تكامل: العزم الداخلي M(x) هو تكامل القص الداخلي: = زاوية دوران من الأفقي،، هو تكامل العزم الداخلي مقسوم علي محصلة ضرب معامل يونغ مع عزم القصور الذاتي: و تكامل يعطي الإزاحة السفلية : (ar)
  • 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 : (en)
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  • تكامل مباشر لكمرة (ar)
  • Direct integration of a beam (en)
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