Laxmi Institute of Technology, Sarigam

Laxmi Institute of Technology, Sarigam

Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmedabad







ASSIGNMENT: 1

Name of Subject: - Structural Analysis I [S.A.1] Subject Code: - 2140603

Given Date: - 00/00/2019

FUNDAMENTALS

Sr. No. Name of Question

1 States the Maxwell’s Reciprocal theorem

2 Define Statically Determinate Beam Indeterminate Beam

3 Explain degree of static indeterminacy

4 Discuss about Stability of Structure

5 Find Static and Kinematic indeterminacy of the structures shown below.

6 Find Static and Kinematic indeterminacy of the structures shown below. And

also comment about Stability.

7 Find Static and Kinematic indeterminacy of the structures shown below.

8 Distinguish between Plane truss and Space Truss



9 Draw SF and BM diagram for the frame loaded as shown in fig.

10 Analyze the rigid jointed portal frame shown in fig. Draw Shear Force Diagram,

Bending Moment Diagram Axial Force Diagram.

Submission Date:

Name & Sign of Subject In-charge :

SAQUIB SHAIKH



ASSIGNMENT: 2


Given Date: - 00/00/2019

DISPLACEMENT OF DETERMINATE BEAMS


1 Differentiate between real beam and Conjugate beam. Justify the support

condition in conjugate beam.

2 Determine slope at A & D and Deflection at C & D for overhanging beam loaded as shown in

fig. Take E = 200 GPa & I = 2 x 107 mm4. Using Conjugate beam method.

3 Find slope & Deflection for following structure as shown in fig. by Double Integration Method.

Take E = 200 KN/mm2 & I = 14400 x 104 mm4.

4 Find slope at point A and B using Macaulay’s Method.

Take E = 210GPa & I = 16000 x 104 mm4.

5 Find slope and Deflection at point A and B for beam as shown in Fig. using Conjugate beam

Method. Take EI = 3000 KN.m2

6 A Simply Supported beam of 3m Span carries two point loads of 120 KN and 80

KN at distance of 0.6m and 2m from left support. If for the beam E = 2.1 x 105

N/mm2 & I = 16 x 108mm4, calculate the deflection under load using Macaulay’s method.

7 A cantilever 2m long is loaded as shown in Fig. Find slope and deflection at free

end using Macaulay’s method.

Take E = 200 GPa & I = 160 x 106

mm4.



8 For beam as shown in fig. calculate the slope at support C and deflection under

point load. Take E = 2 x 105 N/mm2 & I = 5 x 108 mm4.

9 Find the slope and deflection at centre C of Simply supported beam AB as

shown in fig. by moment area method.Take E = 2 x 105 N/mm2 & I = 2 x 108 mm4.

10 Find the slope and deflection at free end of cantilever beam as shown in fig. by

moment area method. Take E = 2 x 105 N/mm2. The cross section of beam is rectangle of

200 x 300mm deep.

11 Find the slope and deflection at free end of cantilever beam as shown in fig. by

moment area method. Take E = 2 x 105 N/mm2 and I = 2 x 108 mm4.

12 Find: 1) Deflection of Cantilever beam with point load at free end.

2) Deflection of Cantilever beam with UDL throughout span

3) Deflection of Cantilever beam with point load not at free end.

4) Deflection of Cantilever beam partially loaded with UDL over

length l1 from the fixed end.

13 Find: 1) Deflection of Simply supported beam with central point load.

2) Deflection of Simply supported beam with UDL throughout span

3) Deflection of Simply supported beam with UDL on half span from

one support.

4) Deflection of Simply supported beam with eccentric point load.

Submission Date: -


ZEESHAN MUNSHI



ASSIGNMENT: 3


Given Date: - 00/00/2019

COLUMN AND STRUT


1 A cast iron column of hollow circular section having 200mm external diameter and

20mm metal thickness, 5m length has to carry load of 120KN at an eccentricity of

20mm from the geometrical axis. Calculate the maximum and minimum stresses

induced in the section, if the ends are fixed. Also calculate the maximum

permissible eccentricity so that no tension is induced at the base. Take E 120GPa.

2 A 2.5 m long pin ended column of square cross section is made up of timber. Using Euler’s

formula, find out size of the column with a factor of safety 2 for 250KN axial load. Consider E =

12.5GPa, allowable stress in axial compression = 12 Mpa.

3 A steel bar of rectangular cross section 30mm x 40mm, pinned at each end is subjected to an axial

compressive load. The bar is 1.75m long. Determine the buckling load and the corresponding stress

using Euler’s formula. Also find minimum length for which Euler’s formula may be used to

determine buckling load, if the proportional limit of material is 200Mpa. Take = 200GPa.

4 A Circular column loaded by an axial load of 400 KN. The effective length of column is 6.0 m. The

permissible strength of material is 160 N/mm2, and Rankine constant 1/3600. The thickness of

material is to be taken as 10% of external diameter. Calculate external diameter of required section.

5 A steel strut is made up of 5 m long T section. The size of flange 250mm x 50mm and size of web

100mm x 50mm. The strut is hinged at the both ends. Calculate the safe axial load by rankine

formula, using FOS 3. Take Fc = 300N/mm2 and α = 1/7500.

Submission Date: 25-02-2019


ZEESHAN MUNSHI



ASSIGNMENT: 4


Given Date: - 00/00/2019

DIRECT AND BENDING STRESSES


1 Explain limit of eccentricity and core of section and draw core diagram for

different core section.

2 Define: Axial load, Eccentric load, Eccentricity, core of section., co officient of wind resistance.

3 Explain the formula for maximum and minimum stresses in rectangular column. And also explain

stress distribution in column.

4 Explain stability condition of retaining wall.

5 A rectangular column section ABCD having side AB = BC = 500mm and BC = CD = 250 carries

a compressive load of 300Kn at corner B. Find stress at each corner A, B, C, D, and draw stress

distribution diagram for each side.

6 A column of T Section is subjected to a load of 100 KN at a point on the centroidal axis, 40 mm

below the centroidal x – x axis. Calculate the maximum and minimum stresses induced in the

section. size of flange : 200mm x 20mm and size of web: 100mm x 10mm.

7 A masonry dam 6m height, 3m wide at base and 1.2m wide at top, retain water on vertical face for

full height. Considering density of masonry as 17 KN/m3 and density of water 10 KN/m3, Find out

maximum and minimum pressure intensities at the base.

8 A cylindrical chimney, 25 m high, of uniform circular section is 5m external diameter and 2m

internal diameter. It is subjected to a horizontal wind pressure of 1400N/m2. If the co efficient of

wind pressure is 0.6 and unit weight of masonry is 22KN/m3. Find the maximum and minimum

stresses at the base of the section.



SAQUIB SHAIKH



ASSIGNMENT: 5


Given Date: - 00/00/2019

ARCHES, CABLES, AND SUSPENSION BRIDGE


1 For a three hinged parabolic arch having rise of 6m, span of 40m and loaded by a

point load of 200KN at 10m from left support and an udl of 20Kn/m over right half,

Calculate the maximum bending moment in both halves. Also calculate the bending

moment, shear force and normal thrust at 15m from left support.

2 A symmetrical three hinged circular arch has span 20m and central rise 4m. It is

carrying point load 12KN at 6m from left side hinge.

Calculate : (1) thrust at springing

(2) Magnitude and direction of reactions at support

(3) B.M. at 4m from left

(4) Maximum +ve and –ve B.M.

3 A cable of span 150m and dip 15m carries a load of 6KN per meter run of

horizontal span. Find the maximum tension for the cableand inclinationof the cable

at the support. Also find vertical and horizontal forces in each per under the

following conditions.

(1) If the cable passes over smooth rollers on the top of pier.

(2) If the cable is clamped to a saddle with smooth rollers resting on he top of the

pier.

In each case, the back stay is inclined at 30° to the orizontal. If height of pier is

20m, Find max. B.M. in the pier.

4 A flexible rope weighing 1N per meter run between two point 40mapart and at the same level, 12m

above the ground. It is to carry a concentrated load of 300N at a point P, on the rope at horizontal

distance of 10m from the left hand support .What is the maximum height above the ground to

which the point P may be raised if the maximum tension in the rope is not to exceed 1000N?

5 A three hinged parabolic arch having rise of r, span of L , having two hinges at

same level. It is subjected to total load W, uniformly distributed over entire span.

Shows that there will be no B.M. at any point on the arch. Also calculate horizontal

thrust at support.



ZEESHAN MUNSHI



ASSIGNMENT: 6


Given Date: - 00/00/2019

THIN CYLINDER


1 A thin cylindrical shell of internal diameter d, wall thickness t and length l, is

subjected to internal pressure p. Derive the expression for circumferential stress

produced if the efficiency of longitudinal joint is η?


subjected to internal pressure p. Derive the expression for change in volume of the

cylinder.


subjected to internal pressure p. prove that volumetric strain is equal to twice the

circumferential strain plus longitudinal strain.

4 A cylindrical shell 3 m long & 1 m internal diameter is subjected to internal pressure of 1 N/mm2. If

the thickness of the shell is 12 mm, find the circumferential & longitudinal stresses. Find also the

maximum shear stress & change in dimensions of the shell.

5 A thin sphere of 1.5m diameter is filled with fluid which exerts internal pressure of 3 N/mm2.

Calculate the thickness required for the sphere if the change in volume is not to exceed 2% of the

original volume.

6 A cylindrical boiler to generate internal steam pressure 2 N/mm2, is to be fabricated using 12mm

thick plate having a limiting tensile stress of 120 N/mm2. If the efficiencies of the longitudinal and

circumferential joints are 75% and 40% respectively, find the safe diameter of the boiler.

7 A cylindrical shell has 3.5m length, 1.2m diameter and 10mm thickness. The shell is subjected to

internal pressure of 2 N/mm2. Calculate the max. Shear stress and change in dimension of the shell.

Submission Date:


ZEESHAN MUNSHI



ASSIGNMENT: 7


Given Date: - 00/00/2019

STRAIN ENERGY


1 A 35kg collar is released from height h to drop on disk at bottom end C of the bar

ABC. End A of the bar is fixed. Part AB is 2m long and 40mm in diameter. Part

BC is 1.5m long and 30mm in diameter. Calculate the height h for which the

maximum stress in the rod is 250MPa.

2 A steel bar 100 cm long and rectangular in section 40mm X 80mm is subjected to

an axial load of 1KN. Find the maximum stress if,

1) The load is applied gradually

2) The load is applied suddenly

3) The load is applied after falling through a height of 8 cm

What are the strain energies in each of the above cases? Take E = 200GPa.

3 Determine strain energy stored due to bending in the beam for the simply supported

beam subjected load 10 KN at 2m from left side. Ha span of beam is 3m.Take E =

210Gpa and I = 72 X 104 mm4.

4 A bar 54mm in diameter is 4m long. An axial load of 180Kn is suddenly applied to it.

Find:

1) The maximum instantaneous stress.

2) The maximum instantaneous elongation

3) Take work stored in the bar at the instant of maximum elongation.

E = 200Gpa.

Submission Date:


SAQUIB SHAIKH



ASSIGNMENT: 8


Given Date: - 00/00/2019

FIXED BEAM AND CONSISTENT DEFORMATION METHOD


1 Draw S.F. and B.M. Diagram for fixed beam carrying central point load load.

2 Draw S.F. and B.M. Diagram for fixed beam carrying central UDL on entire span.

3 Draw S.F. and B.M. Diagram for fixed beam carrying eccentric point load W.

4 Analyze a fixed beam of span 8 m which is subjected to an udl of 22 KN/m over its entire span

along with a point load of 60 KN at its center. Use area moment method. Draw S.F. and B.M.

diagram for the fixed beam.

5 A fixed beam AB of span 6m is subjected to a concentrated couple of 227 KN.m

applied at a section 4m from the end A. Find the end moment from first principles

and draw B.M. and S.F. diagram.

6 Analyze the propped cantilever beam with UDl on entire span by consistent

deformation method and draw S.F. and B.M. Diagram.

7 Analyze the propped cantilever beam with 1 m overhang. 30KN load is applied at

free end by consistent deformation method and draw S.F. and B.M. Diagram.

8 Determine support reaction of Propped cantilever with 2m overhang. Beam is

subjected 40KN point load at 3m from left side, 30KN at free end. Anlyse the beam

by consistent deformation method.

Submission Date:


ZEESHAN MUNSHI



Laxmi Institute of Technology , Sarigam


Academic Year 2018-19 Centre Code: 086 Examination : Mid Semester -1 Examination Branch: Civil Engineering Semester: 48th Sub Code: 2140603 Sub: Structure Analysis 1 Date: 05/02/2019 Time: 9:00-10:00 Marks: 20

Q.1 Find the suitable size of 3m long hollow circular water tank which subjected

maximum load 3500 N. Its Outer diameter is 1.25 times inner diameter. The hollow

circular water tank with flexible base for capacity 5,00,000 liters. The modulus of

elasticity for the material of water tank is 210 KN/mm2.

5

Q.2 A Column length 2.4 m area of Cross Section 2000 mm2 and Moment of Inertia of

Ixx = 720 X 104 mm4 and Iyy = 80 X 104 mm4 is subjected to buckling load. Both ends

are fixed. What is the slenderness ratio of Column?

3

OR

Q.2 Find the Moment of Inertia of Symmetrical I Section. The size of Flange is 200 mm

X 40 mm and Size of Web is 20 mm X 200 mm.

3

Q.3 A Closed Cylindrical vessel made of steel plates 4 mm thick with plane ends carries a

fluid under a pressure 3 N/mm2. The diameter of cylinder is 250 mm and length is

750 mm. Calculate Longitudinal and Hoop stress in cylindrical wall & Determine

Change in Diameter, Length, and Volume of Cylinder. Take E = 2.1 X 105 N/mm2

and Poisson’s ratio is 0.286.

7

Q.4(a)

Q.4(b)

The Kinematics Indeterminacy of Plane truss as Shown in Fig. is The degree of Static Indeterminacy of Rigid frame having Two internal hinges as

shown in Fig. Below

5

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Laxmi Institute of Technology, Sarigam