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Beams are statically indeterminate generally because of their support systems. Beam ABC shown in Figure Q1 is supported by a fixed connection at C
Beams are statically indeterminate generally because of their support systems. Beam ABC shown in Figure Q1 is supported by a fixed connection at C and two roller supports at B and A. The beam carries 8 kN/m distributed load from point B to C and a 50 kN point load acting at the middle span AB. EI is constant. [Rasuk tidak boleh tentu secara statik secara amnya adalah disebabkan oleh sistem sokongan rasuk itu sendiri. Rasuk ABC seperti yang ditunjukkan dalam Rajah Q1 disokong secara tetap di C dan dua sokongan roda di B dan A. Rasuk tersebut menanggung beban teragih seragam sebanyak 8 kN/m dari titik B ke titik C dan 50 kN beban tumpu yang bertindak di tengah-tengah rentang AB. Anggap El adalah malar.] (a) A 2.5 m 50 kN 2.5 m B Figure Q1: Beam structure [Rajah Q1: Struktur rasuk/ 8 kN/m 4 m Calculate the degree of indeterminacy of the beam above. Next, by implementing the method of superposition, draw the actual, primary and redundant structure of the beam structure. [Kira darjah tidak boleh tentu bagi rasuk di atas. Seterusnya, dengan mengimplementasikan kaedah superposisi, lukiskan struktur sebenar, utama dan lebihan bagi struktur rasuk tersebut.] (3 Marks/Markah) (b) If support A and B are being removed from the structure above, estimate the value of displacement at Point A, A, and Point B, Ag. (Jika sokongan A dan B dikeluarkan daripada struktur di atas, anggarkan mlai anjakan bagi Titik A. A, dan Titik B, A) (c) Then, by formulating the compatibility equation, calculate the value of vertical reactions at A, B, C and moment at C. (Kemudian, dengan mengformulasikan persamaan keserasian, kira nilai tindakbalas sokongan menegak di A, B, C dan momen di C.] (4 Marks/Markah) (d) Then, analyze the beam structure above by valuing the maximum shear and moment from shear and moment diagram. (Kemudian, analisis struktur rasuk di atas dengan menilai ricih dan momen maksimum daripada gambarajah ricih dan momen] (3 Marks/Markah)
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