Practice Properties of Materials - GATE & ESE

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Properties of Materials

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Question 1 of 5

Two beams PQ (fixed at P and with roller support at Q, as shown in Figure I, which allows vertical movement) and XZ (with a hinge at Y) are shown in Figures I and II respectively. The spans of PQ and XZ are L and 2L respectively. Both the beams are under the action of uniformly distributed load (W) and have the same flexural stiffness, EI (where E and I respectively denote modulus of elasticity and moment of inertia about the axis of bending). Let the maximum deflection and maximum rotation be $\delta_{\max1 }$ and $\theta_{max1}$ , respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be $\delta_{ max2 }$ and $\theta_{ max 2}$ , respectively. [2016]

Which one of the following relationships is true?

$\delta_{\max 1} \neq \delta_{\max 2}$ and $\theta_{\max 1}=\theta_{\max 2}$

$\delta_{\max 1} \neq \delta_{\max 2}$ and $\theta_{\max 1} \neq \theta_{\max 2}$

$\delta_{\max 1}=\delta_{\max 2}$ and $\theta_{\max 1}=\theta_{\max 2}$

$\delta_{\max 1}=\delta_{\max 2}$ and $\theta_{\max 1} \neq \theta_{\max 2}$

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Properties of Materials

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Question 1 of 5

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