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SPPU Civil Engineering (Semester 4)
Structural Analysis 1
December 2016
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Solve any one question fromQ.1(a,b) and Q.2(a,b)
1(a) State and explain static and kinematic indeterminacy. Determine the static and kinematic indeterminacy for the beam shown in Fig. 1 b.
6 M
1(b) Analyse the continous beam loaded and supported as shown in Fig.1 b by three moment theorem. Assume uniform flexural rigidity.
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6 M

2(a) Find slope and deflection for the cantilever AB and span 2 m loaded with uniformly distribution load kN/m up to 1 m from end A by moment area method. Assume uniform flexural rigidity.
6 M
2(b) A portal frame ABCD has hinged ends to A and D with rigid joints B and C. The column AB and CD are 4 m height. The beam BC is 4 m long and carries a uniformly distributed oad 30 kN/m. Find the horiziontal reaction at A by strain energy method.
6 M

Solve any one question fromQ3(a,b) and Q.4(a,b)
3(a) Find the vertical displacement of joint C for the pin jointed truss as shown in Fig.3 a. The cross-sectional area of the members AD, DB and CD is 150 mm2 and the areas of the members AC and BC are 200 mm2 each. Take E = 200 kN/mm2.
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6 M
3(b) Draw influence line diagrams for forces in the memers U2, U3, L2U3 and L2L3 of the through type bridge truss of height 3 m as shown in Fig. 3 b.
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6 M

4(a) Determine maximum shear and moment by influence line method for a simply supported beam of span 4 m loaded with uniformly distributed load of 10 kN/m on whole span.
6 M
4(b) Two pin jointed rods AC and BC are hinged to a rigid ceiling at points A and B, 2.5 m apart. AC is 2 m long and makes a right angle to BC. If a vertical bar DC, hinged at C and to the ceiling at D is added, calculate the force in the three members when a load of 10 kN is suspended from C. All three rods have the same cross sectional area.
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6 M

Solve any one question fromQ5(a,b) and Q.6(a,b)
5(a) The equation of a three hinged parabolic arch with origin at its left support is y = x (x2/40). The span of the arch is 48 m. The arch is carrying a uniformlay distributed load 20 kN/m over left half of the span. Determine the horiziontal reaction at the supports.
6 M
5(b) A two hinged parabolic arch of span 25 m and central rise 5 m is subjected to point load 60 kN from left support at distance of 5 m. Determine the normal and horiziontal thrust. Also find moment under the point load.
7 M

6(a) A circular arched rib of 20 m span with central rise of 4 m is hinged at the crown and springing. It carries a point load of 125 kN at 7.5 m from the left hand hinge. Calculate the horiziontal thrust of the arch, the reactions at the supports and the maximum positive BM.
6 M
6(b) A two hinged semicircular arch of radius 10 m is subjected to uniformly distributed load 12 kN/m on the right half of the arch. Determine the horiziontal thrust and reaction at supports.
7 M

Solve any one question fromQ.7(a,b) and Q.8(a,b)
7(a) Explain in brief equal area axis, plastic section modulus and shape factor for reactangular corss section of width b and depth d.
6 M
7(b) A beam of span L fixed at one end and hinged at other end is loaded with uniformly distributed ultimate load wu. Find the collapse load for the beam if the plastic moment of ressistance of the section Mp.
7 M

8(a) Explain in brief stress distribution for elastic, elasto-plastic and palstic section.
6 M
8(b) A propped catilever beam is subjected to a concentrated load W at the centre. Determine the collapse load for the beam.
7 M

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