Explain the term shape factor and collapse load
[3 marks]Differentiate between straight beam and curved beam.
[4 marks]Acurved beam circular in plan symmetrically supported on six columns has a radius of 6 m, carries uniformly distributed load of 40 kN/m,including self weight. Calculate shear force, bending moment and twisting moment at 100 interval.
[7 marks]State the assumptions of Plastic theory.
[3 marks]Calculate the shape factor for a square section arranged as shown in Figure 1.
[4 marks]Determine the support reactions at Cof a frame as shown in figure 2. by flexibility method. Take EI = constant
[7 marks]Explain type of domes with neat sketches and state their uses.
[7 marks]Define Released structure and Restrained structure.
[3 marks]Derive the expression for Mφ for a curved beam fixed at ends.
[4 marks]Formulate the stiffness matrix, S, and load vector, AD-ADL, for the beam shown in the Figure 3. Take EI constant.
[7 marks]Give the properties of flexibility and stiffness matrix
[3 marks]Explain the concept of plastic hinge.
[4 marks]Formulate flexibility matrix for a cantilever Non-prismatic beam shown in figure-4.
[7 marks]List and explain the stresses in spherical dome.
[3 marks]State static and kinematic theorem of plastic analysis.
[4 marks]Aconical dome having 8 m span and 4.0 m rise is subjected to a load of 5 kN/m2, including self weight and a concentrated load at vertex of 10 kN.Calculate stresses in the dome. The thickness of the dome is 100 mm.
[7 marks]Derive an expression for stresses in spherical dome subjected to concentrated load at crown.
[3 marks]Differentiate between stiffness method and flexibility method.1
[4 marks]Aspherical dome having 8 m span and 1.5 m rise is subjected to a load of 4 kN/m2, including self weight and a lantern load of 1 kN at the crown.Thickness of the dome is 150 mm. Calculate stresses in the dome.
[7 marks]Find collapse load of fixed beam having length “L” and subjected to point load “W” acting at a distance “a” from left support and distance “b” from right support by static method.
[3 marks]Explain the following matrix equations used in stiffness method. AD = ADL + S×D
[4 marks]Calculate plastic moment of resistance required for a fixed beam of span 10 m loaded by a collapse uniformly distributed load of 18 kN/m over left half 5 m and a collapse point load of 45 kN at 7.5 m from the left support
[7 marks]Determine the shape factor for circular section of diameter D.
[3 marks]Derive an expression for Meridional stress develop in a spherical dome subjected to UDL.
[4 marks]Explain with neat sketches the various mechanism of failure of plane frames in plastic analysis.2
[7 marks]