9a01504 structural analysis ii

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JNTUWORLD Code: 9A01504 III B.Tech I Semester (R09) Regular Examinations, November 2011 STRUCTURAL ANALYSIS -II (Civil Engineering) Time: 3 hours Max Marks: 70 Answer any FIVE questions All questions carry equal marks ***** 1 A three hinged parabolic arch ACB has a span of 50 meters. Its abutments A and B are at depths of 16m and 25m below the crown C. The arch carries a concentrated load of 200 kN on BC at a distance of 20m from c. Calculate the vertical and horizontal reactions at supports A and B. Also calculate the normal thrust and radial shear at a section 10m from support A. 2 A two hinged parabolic arch of span 30m and rise 6m carries a uniformly distributed load of 20kN/m covering a distance of 12m from left end. Find the horizontal thrust and the reactions at the two supports. Also calculate the maximum hogging moment in the arch. 3 A single bay single storey portal frame ABCD is fixed at A and D. AB and DC are the two columns and BC is the beam. The height of the column AB is 4m and that of DC is 5m. The span of the beam BC is 8m. A uniformly distributed load of 60kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use slope deflection method. 4 A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are the two columns and BC is the beam. The two columns are of equal height and the height is 4m. The span of the beam BC is 6m. A uniformly distributed load of 40kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use moment distribution method. 5 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports are at same level. The span AB=5m and span BC=4m. The span AB carries a uniformly distributed load of 15kN/m and span BC carries a central point load of 25kN. EI is constant for the whole beam. Find the moments and reactions at all the supports and draw the bending moment diagram using Kani’s method. 6 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports are at same level. The span AB=7m and span BC=5m. The span AB carries a uniformly distributed load of 30kN/m and span BC carries a central point load of 30kN. EI is constant for the whole beam. Find the moments and reactions at all the support using flexibility method. 7 A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the three supports are at same level. The span AB=4m and span BC=6m. The span AB carries a uniformly distributed load of 40kN/m and span BC carries a central point load of 80kN. EI is constant for the whole beam. Find the moments and reactions at all the support using stiffness method. 8 A T-section consists of a flange 150x10mm and a web of 140x10mm. The section modulus of the T-section is 54600mm 3 . This section is used as a simply supported beam of 4m span and carries a UDL of 25kN/m on the whole span. Determine the shape factor of the beam and also calculate the collapse load for the beam. Assume yield stress as 250 MPa. ***** 1 www.jntuworld.com www.jntuworld.com

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Page 1: 9A01504 Structural Analysis II

JNTUWORLD

Code: 9A01504 III B.Tech I Semester (R09) Regular Examinations, November 2011

STRUCTURAL ANALYSIS -II (Civil Engineering)

Time: 3 hours Max Marks: 70 Answer any FIVE questions

All questions carry equal marks *****

1 A three hinged parabolic arch ACB has a span of 50 meters. Its abutments A and B are at depths of 16m and 25m below the crown C. The arch carries a concentrated load of 200 kN on BC at a distance of 20m from c. Calculate the vertical and horizontal reactions at supports A and B. Also calculate the normal thrust and radial shear at a section 10m from support A.

2 A two hinged parabolic arch of span 30m and rise 6m carries a uniformly distributed load of

20kN/m covering a distance of 12m from left end. Find the horizontal thrust and the reactions at the two supports. Also calculate the maximum hogging moment in the arch.

3 A single bay single storey portal frame ABCD is fixed at A and D. AB and DC are the two columns

and BC is the beam. The height of the column AB is 4m and that of DC is 5m. The span of the beam BC is 8m. A uniformly distributed load of 60kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use slope deflection method.

4 A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are the

two columns and BC is the beam. The two columns are of equal height and the height is 4m. The span of the beam BC is 6m. A uniformly distributed load of 40kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use moment distribution method.

5 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=5m and span BC=4m. The span AB carries a uniformly distributed load of 15kN/m and span BC carries a central point load of 25kN. EI is constant for the whole beam. Find the moments and reactions at all the supports and draw the bending moment diagram using Kani’s method.

6 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=7m and span BC=5m. The span AB carries a uniformly distributed load of 30kN/m and span BC carries a central point load of 30kN. EI is constant for the whole beam. Find the moments and reactions at all the support using flexibility method.

7 A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the

three supports are at same level. The span AB=4m and span BC=6m. The span AB carries a uniformly distributed load of 40kN/m and span BC carries a central point load of 80kN. EI is constant for the whole beam. Find the moments and reactions at all the support using stiffness method.

8 A T-section consists of a flange 150x10mm and a web of 140x10mm. The section modulus of the

T-section is 54600mm3

. This section is used as a simply supported beam of 4m span and carries a UDL of 25kN/m on the whole span. Determine the shape factor of the beam and also calculate the collapse load for the beam. Assume yield stress as 250 MPa.

*****

1

www.jntuworld.com

www.jntuworld.com

Page 2: 9A01504 Structural Analysis II

JNTUWORLD

Code: 9A01504

III B.Tech I Semester (R09) Regular Examinations, November 2011 STRUCTURAL ANALYSIS -II

(Civil Engineering) Time: 3 hours Max Marks: 70

Answer any FIVE questions All questions carry equal marks

***** 1 A three hinged parabolic arch ACB has a span of 56 meters. Its abutments A and B are at depths

of 18m and 27m below the crown C. The arch carries a concentrated load of 100 kN on BC at a distance of 23m from c. Calculate the vertical and horizontal reactions at supports A and B. Also calculate the normal thrust and radial shear at a section 15m from support A.

2 A two hinged parabolic arch of span 35m and rise 8m carries a uniformly distributed load of

24kN/m covering a distance of 15m from left end. Find the horizontal thrust and the reactions at the two supports. Also calculate the maximum hogging moment in the arch.

3 A single bay single storey portal frame ABCD is fixed at A and D. AB and DC are the two columns

and BC is the beam. The height of the column AB is 4.5m and that of DC is 5.5m. The span of the beam BC is 9m. A uniformly distributed load of 50kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use slope deflection method.

4 A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are the

two columns and BC is the beam. The two columns are of equal height and the height is 4.5m. The span of the beam BC is 6m. A uniformly distributed load of 50kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use moment distribution method.

5 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=5.5m and span BC=4.5m. The span AB carries a uniformly distributed load of 18kN/m and span BC carries a central point load of 25kN. EI is constant for the whole beam. Find the moments and reactions at all the supports and draw the bending moment diagram using Kani’s method.

6 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=7.5m and span BC=5.5m. The span AB carries a uniformly distributed load of 35kN/m and span BC carries a central point load of 68kN. EI is constant for the whole beam. Find the moments and reactions at all the support using flexibility method.

7 A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the

three supports are at same level. The span AB=4.5m and span BC=6.3m. The span AB carries a uniformly distributed load of 48kN/m and span BC carries a central point load of 75kN. EI is constant for the whole beam. Find the moments and reactions at all the support using stiffness method.

8 A T-section consists of a flange 150x10mm and a web of 140x10mm. The section modulus of the

T-section is 54600mm3

. This section is used as a simply supported beam of 5m span and carries a UDL of 40kN/m on the whole span. Determine the shape factor of the beam and also calculate the collapse load for the beam. Assume yield stress as 250 MPa.

*****

2 www.jntuworld.com

www.jntuworld.com

Page 3: 9A01504 Structural Analysis II

JNTUWORLD

Code: 9A01504

III B.Tech I Semester (R09) Regular Examinations, November 2011 STRUCTURAL ANALYSIS -II

(Civil Engineering) Time: 3 hours Max Marks: 70

Answer any FIVE questions All questions carry equal marks

***** 1 A three hinged parabolic arch has a span of 40 meters and rise of 10 meters. The arch carries two

concentrated loads of 200kN and 150kN at distances of 8m and 16m from the left end. It also carries a UDL of 50kN/m on the right half of the span. Calculate the vertical and horizontal reactions at supports. Also calculate the normal thrusts and radial shear at a section 12m from left support.

2 A two hinged parabolic arch of span 20m and rise 4m carries a uniformly distributed load of

20kN/m on the whole span. Find the horizontal thrust and the reactions at the two supports. If now one support yields laterally with respect to the other support by 0.02. What will be the horizontal thrust? Take E=200kN/mm2 and Io=1.7x107 mm4

.

3 A single bay single storey portal frame ABCD is fixed at A and D. AB and DC are the two columns

and BC is the beam. The height of the column AB is 5.5m and that of DC is 6.5m. The span of the beam BC is 9.5m. A uniformly distributed load of 56kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use slope deflection method.

4 A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are the

two columns and BC is the beam. The two columns are of equal height and the height is 5.5m. The span of the beam BC is 6.5m. A uniformly distributed load of 58kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use moment distribution method.

5 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=5.7m and span BC=4.7m. The span AB carries a uniformly distributed load of 28kN/m and span BC carries a central point load of 37kN. EI is constant for the whole beam. Find the moments and reactions at all the supports and draw the bending moment diagram using Kani’s method.

6 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=8m and span BC=6m. The span AB carries a uniformly distributed load of 45kN/m and span BC carries a central point load of 78kN. EI is constant for the whole beam. Find the moments and reactions at all the support using flexibility method.

7 A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the

three supports are at same level. The span AB=4.8m and span BC=6.8m. The span AB carries a uniformly distributed load of 76kN/m and span BC carries a central point load of 80kN. EI is constant for the whole beam. Find the moments and reactions at all the support using stiffness method.

8 A T-section consists of a flange 150x10mm and a web of 140x10mm. The section modulus of the

T-section is 54600mm3

. This section is used as a fixed beam of 6m span and carries a UDL of 100kN/m on the whole span. Determine the shape factor of the beam and also calculate the collapse load for the beam. Assume yield stress as 260 MPa.

*****

3

www.jntuworld.com

www.jntuworld.com

Page 4: 9A01504 Structural Analysis II

JNTUWORLD

Code: 9A01504

III B.Tech I Semester (R09) Regular Examinations, November 2011 STRUCTURAL ANALYSIS -II

(Civil Engineering) Time: 3 hours Max Marks: 70

Answer any FIVE questions All questions carry equal marks

***** 1 A three hinged parabolic arch has a span of 60 meters and rise of 15 meters. The arch carries two

concentrated loads of 250kN and 200kN at distances of 10m and 18m from the left end. It also carries a UDL of 70kN/m on the right half of the span. Calculate the vertical and horizontal reactions at supports. Also calculate the normal thrusts and radial shear at a section 18m from left support.

2 A two hinged parabolic arch of span 25m and rise 5m carries a uniformly distributed load of

30kN/m on the whole span. Find the horizontal thrust and the reactions at the two supports. If now one support yields laterally with respect to the other support by 0.03. What will be the horizontal thrust? Take E=210kN/mm2 and Io=1.7x107 mm4

.

3 A single bay single storey portal frame ABCD is fixed at A and D. AB and DC are the two columns

and BC is the beam. The height of the column AB is 5.8m and that of DC is 6.8m. The span of the beam BC is 10m. A uniformly distributed load of 200kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use slope deflection method.

4 A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are the

two columns and BC is the beam. The two columns are of equal height and the height is 3.5m. The span of the beam BC is 4.5m. A uniformly distributed load of 30kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use moment distribution method.

5 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=4.7m and span BC=3.7m. The span AB carries a uniformly distributed load of 10kN/m and span BC carries a central point load of 15kN. EI is constant for the whole beam. Find the moments and reactions at all the supports and draw the bending moment diagram using Kani’s method.

6 A two span continuous beam ABC rests on simple supports at A,B and C. All the three supports

are at same level. The span AB=8.4m and span BC=6.4m. The span AB carries a uniformly distributed load of 40kN/m and span BC carries a central point load of 100kN. EI is constant for the whole beam. Find the moments and reactions at all the support using flexibility method.

7 A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the

three supports are at same level. The span AB=3m and span BC=4m. The span AB carries a uniformly distributed load of 12kN/m and span BC carries a central point load of 15kN. EI is constant for the whole beam. Find the moments and reactions at all the support using stiffness method.

8 A T-section consists of a flange 150x10mm and a web of 140x10mm. The section modulus of the

T-section is 54600mm3

. This section is used as a fixed beam of 7m span and carries a UDL of 180kN/m on the whole span. Determine the shape factor of the beam and also calculate the collapse load for the beam. Assume yield stress as 255 MPa.

*****

4

www.jntuworld.com

www.jntuworld.com