The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm4]. If w= 64 kN/m and P= 126 kN, determine: AV, V 1.5 m B W 3.5 m P 2.5 m D Figure Q.2 Part A: The reactions at A. B. and D. Choose the reaction force at Bas the redundant: therefore, the released beam is simply supported between A and D.
The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm4]. If w= 64 kN/m and P= 126 kN, determine: AV, V 1.5 m B W 3.5 m P 2.5 m D Figure Q.2 Part A: The reactions at A. B. and D. Choose the reaction force at Bas the redundant: therefore, the released beam is simply supported between A and D.
Chapter9: Application Of Influence Lines
Section: Chapter Questions
Problem 2P
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Question
Calculate the value of the deflection at point B due to concentrated load P in the form
??=???????????
Note: EI will cancel out in further calculations.
Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
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Step 1: Introducing given data
VIEWStep 2: Taking reaction at B as redundant
VIEWStep 3: Calculate vertical reaction at A for simply supported beam AD for udl & load
VIEWStep 4: Using double integration method to calculate deflection at B due to udl w
VIEWStep 5: Using double integration method to calculate deflection at B due to load P
VIEWStep 6: Using double integration method to calculate deflection at B due to reaction By
VIEWStep 7: Calculate reaction at B
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