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GATE 2019 National Champion Test Structure Analysis (App update required to attempt this test)

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Question 1

A continuous beam having 4 spans is fixed at its ends. It is supported by three rigid supports in between then the order of the reduced stiffness matrix is given by

Question 2

Which of the following statements are true regarding the stiffness matrix.
1) A stiffness matrix is an invertible matrix.
2) Stiffness matrix is non-singular.
3) Stiffness matrix can be obtained from a flexibility matrix.

Question 3

A horizontal load of 1000N/m covering full height of a circular segmental three hinge arch of span 36m and rise 6m hinged at the crown and springing on the left side of the arch. Determine the horizontal thrust at the right spring.

Question 4

Consider the portal frame shown in the figure and assume the modulus of elasticity E = 2.5 x104 MPa and the moment of inertial, I = 8 x 108 mm4 for all the members of the frame.

The rotations (in degrees, to the nearest integer) at the rigid joint Q would be ___

Question 5

The ratio of the vertical deflection to horizontal deflection at C in the given truss as shown in figure below is ________.

Question 6

The strain energy (in Nmm) stored in member AB of the pin jointed truss as shown in figure where Young’s modulus of elasticity and area of cross section E and A respectively are same for all members, is
[Take E = 200 kN/m2 and A = 3000 mm2]
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Sep 8ESE & GATE CE