Deemed University 2010 B.Tech Civil Engineering University: Lingayas University Term: III Title of the : Structural and Analysis - I - Question Paper

Roll No. ..

 

Lingayas University, Faridabad

Examination December, 2009

Course: B.Tech. Year: IInd

Semester: III Paper Code: CE-201E

Subject: Structural and Analysis - I

[Time: 3 Hours] [Max. Marks: 100]

 

Before answering the question, candidate should ensure that they have been supplied the correct and complete question paper. No complaint in this regard, will be entertained after examination.

 

Note: Attempt Five Question in all. All questions carry equal marks.

Q.1. (a) Define factor of safety and brief its significance. (5)

(b) A compound hollow bar consists of an inner steel tube of 50mm internal diameter and 10mm thickness. The outer aluminum alloy tube is of 70mm internal diameter and 10mm thickness. Length of each tube is 600mm.the compound hollow tube is subjected to an axial pull of 200KN. Calculate the stresses in the steel tube and the alloy tube. Calculate the load shared by each of the tubes and increase in length of the compound bar.

E_st= 2.1x1x10⁵ N/mm² , E_al= 7x10⁴ N/mm². (15)

 

Q. 2. A simply supported wooden beam 2 meter long carries a uniformly distributed load of 80KN per meter run over the entire span. The rectangular section of the beam is 150mmx600mm. Calculate the bending stress at a layer 200mm above the bottom of the beam at a section 800mm from the left support. Also calculate the maximum bending stress developed in the beam. (20)

 

Q. 3. A horizontal beam of 8 meter span, simply supported at both ends carries concentrated loads of 5000N,6000N and 4000N acting vertically downwards at distances of 2meter,3.Smeter and 6meter respectively from the left end of the beam. Draw shear force and bending moment diagrams and calculate the bending moment at mid span. (20)

Q.4. Explain the following: (5x4)=20

(a) Hook's law

(b) Slenderness ratio

(c) Torsional rigidity

(d) Mohr s circle of stresses

 

Q. 5. A three hinged parabolic arch of span 20 meter and rise 4 meter carries a U.D.L of 20 KN per meter run on the left half of the span. Calculate the maximum bending moment for the arch. (20)

 

6.(a) Match the following : (6)

(b) State the assumptions made in Eulers formula and also its limitations. (8)

(c) A strut 2.5meter long is 50mm in diameter. Find the safe compressive load using Euler's formula when its one end is free and the other end is fixed. Factor of safety = 3.0; E= 2.1x10⁵N/mm² (6)

 

Q. 7. A simply supported beam AB of span l2meter carries two point loads each of 5OKN placed symmetrically at L/3 of span from both ends. Using moment area method, calculate the deflection under the point loads and the central deflection. E= 2x10⁵ N/mm²;I=15000cm⁴. (20)

 

8. (a) Explain perfect, deficient and redundant frames. (6)

(b) Determine the forces in the members of the truss as shown in fig1. (14)

 

Fig.1

 

Roll No. ..

 

Lingayas University, Faridabad

Examination December, 2009

Course: B.Tech. Year: IInd

Semester: III Paper Code: CE-201E

Subject: Structural and Analysis - I

[Time: 3 Hours] [Max. Marks: 100]

 

Before answering the question, candidate should ensure that they have been supplied the correct and complete question paper. No complaint in this regard, will be entertained after examination.

 

Note: Attempt Five Question in all. All questions carry equal marks.

Q.1. (a) Define factor of safety and brief its significance. (5)

(b) A compound hollow bar consists of an inner steel tube of 50mm internal diameter and 10mm thickness. The outer aluminum alloy tube is of 70mm internal diameter and 10mm thickness. Length of each tube is 600mm.the compound hollow tube is subjected to an axial pull of 200KN. Calculate the stresses in the steel tube and the alloy tube. Calculate the load shared by each of the tubes and increase in length of the compound bar.

E_st= 2.1x1x10⁵ N/mm² , E_al= 7x10⁴ N/mm². (15)

 

Q. 2. A simply supported wooden beam 2 meter long carries a uniformly distributed load of 80KN per meter run over the entire span. The rectangular section of the beam is 150mmx600mm. Calculate the bending stress at a layer 200mm above the bottom of the beam at a section 800mm from the left support. Also calculate the maximum bending stress developed in the beam. (20)

 

Q. 3. A horizontal beam of 8 meter span, simply supported at both ends carries concentrated loads of 5000N,6000N and 4000N acting vertically downwards at distances of 2meter,3.Smeter and 6meter respectively from the left end of the beam. Draw shear force and bending moment diagrams and calculate the bending moment at mid span. (20)

Q.4. Explain the following: (5x4)=20

(a) Hook's law

(b) Slenderness ratio

(c) Torsional rigidity

(d) Mohr s circle of stresses

 

Q. 5. A three hinged parabolic arch of span 20 meter and rise 4 meter carries a U.D.L of 20 KN per meter run on the left half of the span. Calculate the maximum bending moment for the arch. (20)

 

6.(a) Match the following : (6)

(b) State the assumptions made in Eulers formula and also its limitations. (8)

(c) A strut 2.5meter long is 50mm in diameter. Find the safe compressive load using Euler's formula when its one end is free and the other end is fixed. Factor of safety = 3.0; E= 2.1x10⁵N/mm² (6)

 

Q. 7. A simply supported beam AB of span l2meter carries two point loads each of 5OKN placed symmetrically at L/3 of span from both ends. Using moment area method, calculate the deflection under the point loads and the central deflection. E= 2x10⁵ N/mm²;I=15000cm⁴. (20)

 

8. (a) Explain perfect, deficient and redundant frames. (6)

(b) Determine the forces in the members of the truss as shown in fig1. (14)

 

Fig.1