r7310105 structural analysis ii

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Code No: R7310105 1III B.Tech I Semester(R07) Regular & Supplementary Examinations, November 2010

STRUCTURAL ANALYSIS-II(Civil Engineering)

Time: 3 hours Max Marks: 80

Answer any FIVE questionsAll questions carry equal marks

1. A parabolic arch hinged at the springings and crown has a span of 20m.The central rise of thearch is 4m.It is loaded with a uniformly distributed load of intensity 2 kN/m on the left 3mlength. Calculate

(a) The direction and magnitude of reactions at the hinges

(b) The bending moment, normal thrust and shears at 4m and 15m from the left end.

2. Determine the horizontal thrust developed in a two hinged semicircular arch of radius R subjected to a concentrated load of W at the crown.

3. State the assumptions made in portal method of frame analysis and analyze the following frameby portal method of analysis. Draw the bending moment diagram.

4. Analyze the continuous beam loaded as shown in the following diagram by the slope deflectionmethod and sketch the bending moment diagram. Given that 2IAB = IBC = 2ICD = 2I

5. Analyse the continuous beam shown in figure by moment distribution method and draw bendingmoment and shear force diagrams. Also draw the elastic curve.

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6. Analyse the frame shown in figure by Kani’s method. Draw the BMD.

7. Analyse the continuous beam shown in figure by Flexibility method and draw Bending Momentand shear force diagrams. Flexural Stiffnesses are given in parentheses.

8. Analyse the structure shown in figure using stiffness method and draw B.M. Diagram.

Code No: R7310105 1

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1. An arch in the form of a parabola with its axis vertical has hinges at the abutments and thevertex. The abutments are at different levels, the horizontal span being L and the heights of the vertex above the abutments being a and b. Show that the horizontal thrust due to a loadw/unit length uniformly distributed across the span iswL2/2(

√a +

√b)2

2. A semicircular arch of radius R is subjected to a uniformly distributed load of w/unit lengthover the entire span. Assuming EI to be constant, determine the horizontal thrust.

3. State the assumptions made in portal method of frame analysis and analyze the following frameby portal method of analysis. Draw the shear force diagram.

4. Analyze the two span continuous beam as shown in the following diagram by the slope deflectionmethod and draw the shear force and bending moment diagrams. Take EI as constant.

5. Analyse the continuous beam shown in figure by moment distribution method and draw bendingmoment diagram.

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6. Analyse the frame loaded as shown in Figure by Kani’s method and sketch the bending momentdiagram.

7. Analyse the continuous beam shown in figure by flexibility method and draw BMD.

8. Analyse the portal frame shown in figure by stiffness method.

Code No: R7310105 2

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1. A three hinged parabolic arch of 20m span and 4m central rise carries a point load of 4kN at4m horizontally from the left hand hinge. Calculate the normal thrust and shear force at thesection under the load. Also calculate the maximum bending moment positive and negative.

2. Determine the horizontal thrust developed in a two hinged semicircular arch subjected to auniformly distributed load of w/unit length over the left half of the arch. Assume EI to beconstant throughout.

3. State the assumptions made in portal method of frame analysis and analyze the following frameby portal method of analysis. Draw the axial force diagram.

4. Analyze the beam as loaded in the following diagram by slope deflection method and draw theshear force and bending moment diagram. Take EI as constant.

5. Analyse the continuous beam shown in figure by moment distribution method and draw bendingmoment diagram.

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6. Determine the end moments of the continuous beam in Fig. 3, if the support ’B’ sinks by 10mm. Take E=200x106 kN/m2 and I=80x106 mm4. Use Kani’s method.

7. Analyse the continuous beam shown in figure and sketch the B.M.D., by using flexibility methodof analysis.

8. Write the stiffness matrix corresponding to the coordinates 1 and 2 of the frame shown in figure.EI is constant.

Code No: R7310105 3

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1. A symmetrical three hinged circular arch has a span of 16m and a rise to the central hinge of 4m. It carries a vertical load of 16 kN at 4m from the left hand end. Find(a) The magnitude of thrust at springings. (b) The reactions at supports.(c) The maximum positive and negative bending moments.

2. A two hinged parabolic arch of span L and central rise h carries a concentrated load W at thecrown. Determine the expression for the horizontal thrust developed at springings.

3. State the assumptions made in portal method of frame analysis and analyze the following frameby portal method of analysis. Draw the bending moment diagram.

4. Analyze the continuous beam loaded with U.D.L. as shown in the diagram by the slope de-flection method. Sketch the shear force and bending moment diagrams. Take EI as constant.

5. Analyse the beam ABCD shown in figure by moment distribution method and draw bendingmoment diagram.

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6. (a) Explain Kani’s method of solving a frame subjected to sway forces.

(b) Evaluate the bending moment and shear force diagrams of a beam in figure by the Kani’smethod.

7. Analyse the given three span continuous beams shown in figure by flexibility method.

8. Analyse the frame shown in figure, by stiffness method and sketch the B.M. diagram. Neglectthe axial deformations. EI is constant.

Code No: R7310105 4

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r7310105 structural analysis ii

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