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Question

Chrome File Edit View History Bookmarks People Window Help 6 0:52 89% GJ: Thu Jul 5 14:05 Q FTU Login-Canvas xMastering Engineering Masterir C Chrome File Edit View Historyx CSecure https://session.masteringengineering.com/myct/itemView?assignmentProblemiD-7376995&offset-next; Structural Analysis Naser Homework 6 Problem 7.29 6 of 7 > Consider the beam shown in (Figure 1). EI is constant. Use the conjugate-beam method. Suppose that M- 30 k ft, and EI is in k-ft2 Part A Select the correct theorems of the conjugate-beam method Check all that apply. The slope ? at a point in the real beam is numerically equal to the moment M at the corresponding point in the conjugate beam. The displacement v of a point in the real beam is numerically equal to the moment M at the corresponding point in the Figure 1 of 1 conjugate beam. The slope 8 at a point in the real beam is numerically equal to the shear V at the corresponding point in the conjugate beam. The displacement v of a point in the real beam is numerically equal to the shear V at the corresponding point in the conjugate 6 k beam. Submit st Answer 4 ft 6 ft Part B Complete previous part(s) Part C Complete previous part(s)

Explanation / Answer

Conjugate Beam Method

The slope of the actual beam at any cross-section is equal to the shearing force at the corresponding cross-section of the conjugate beam.

The deflection of the actual beam at any point is equal to the “ bending moment ” of the conjugate beam at the corresponding point.

Therefore option (2) and (3) are correct.

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