Questions & Answers of Basic concepts of matrix methods of structural analysis

The value of M in the beam ABC shown in the figure is such that the joint B does not rotate.

The value of support reaction (in kN) at B should be equal to __________________

Consider  the portal frame shown in the figure and assume the modulus of elasticity, $ \style{font-family:'Times New Roman'}{E=2.5\times10^4}$ MPa and the moment of inertia, $ \style{font-family:'Times New Roman'}{I=8\times10^8}$ mm4 for all the members of the frame.

The rotation (in degrees, up to one decimal place ) at the rigid joint Q would be ____________

For the beam shown below, the stiffness coefficient K22 can be written as

Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness EI.Find the magnitude of the bending moment at Q (in kNm) due to the given loading. __________

A uniform beam (EI constant)PQ in the form of a quarter-circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement, δq    at the loaded point Q is given by:δq=β(WR3EI).Find the value of β(correct to 4-decimal places).__________

The stiffness coefficient kij indicates

The right triangular truss is made of members having equal cross sectional area of 1550 mm2 and Young’s modulus of 2 × 105 MPa. The horizontal deflection of the joint Q is

A two span continuous beam having equal spans each of length L is subjected to a uniformly distributed load w per unit length. The beam has constant flexural rigidly.

The reaction at the middle support is

A two span continuous beam having equal spans each of length L is subjected to a uniformly distributed load w per unit length. The beam has constant flexural rigidly.

The bending moment at the middle support is