STRUCTURAL ANALYSIS I

QUESTION BANK UNIT WISE

UNIT 1

DETERMINATE STRUCTURES

2 MARKS QUESTIONS

1. Define static indeterminacy ?2. Explain different types of indeterminacies ?3. Explain internal indeterminacy ?4. Define Tension Coefficient ?5. State Kinematic indeterminacy ?

14 MARKS QUESTIONS

1. Differentiate between pin-jointed and rigid jointed plane frames ?2. Using method of Tension Coefficient analysis, determine the forces in the members of the plane

truss shown in fig.

Figure 5

3. Fig shows the plan of a tripod ; the feet P, Q, R being in the horizontal plan and the apex S being

4m above the plane Horizontal loads of 125kN and 200kN are applied at D as shown. Find the

forces in all the members assuming that all the joints are pin joints.

Figure 2

4. Analyze the plane truss shown in figure using the method Tension Coefficients and find the

forces in the members.

figure 3

5. Using the Method of Tension analyses the cantilever, plan truss shown in figure. Find the

member forces.

Figure 4

6. Calculate the forces in members of pin jointed space truss shown in figure, using Tension

Coefficient method.

Figure 5

UNIT 2

DEFLECTION AND SLOPE

2 MARKS QUESTIONS

1. Define term deflection of a beam.

2. State conjugate beam theorem.

3. Write different methods for computing deflection of determinate beam.

4. Write relation between load, shear force and bending moment acting on a structure.

5. State moment area theorems?

14 MARKS QUESTIONS

1. Define moment area theorem ?

2. A beam of 12m span is subjected to a point load of 125kN at point E as shown in figure 1. Find

the slopes at point A, B, C & E and the deflections at points C, D & E . Use conjugate beam

method.

Figure 1

3. An overhanging beam PQR is loaded as shown in figure 2 . Find the slopes over each support at

the right end. Find the maximum upward deflection between the supports. Use Macaulay’s

method. Take E = 2.1×105 N/mm2 , I = 6×108 mm4 .

Figure 2

4. A beam AB of 4m span is simply supported as shown in figure 3, determine :

a) Deflection at C,

b) Maximum deflection

Take E = 2×108kN/mm2 , I = 2×10-5m4

Figure 3

5. A cantilever AB of length L is subjected to a concentrated load w and a couple u at the free end,

as shown in figure 4, determine the slope and deflection at the free end by moment area method.

EI (flexural rigidity) is constant.

Figure 4

UNIT 3

STRAIN ENERGY

2 MARKS QUESTIONS

1. State Betti’s theorem ?

2. Explain Maxwell’s law of reciprocal deflections.

3. Define strain energy?

4. State castagliano’s theorem.

14 MARKS QUESTIONS

1. Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig. 1.

Take EI = 16000kN- m2.

Figure 1

2. Each bar of the truss shown in fig 2 has a cross section of 625mm2. Calculate the horizontal

deflection of the joint C.

Figure 2

3. A portal frame ABCD is hinged at A&D and has rigid joints. The frame is loaded as shown in

Fig. 3. Analyse the frame using minimum strain energy method. Plot the bending moment

diagram.

Figure 3

4. Determine the vertical and horizontal deflection at the free end of the bent shown in fig. 4. Use

the unit load method. Assume uniform flexural rigidity EI throughout.

Figure 4

5. Evaluate slope at point A and deflection at point C for the beam shown in fig no. 5, using

castigliano’s theorems. Take e = 2×105 N/mm2 and I = 2×108mm4.

Figure 5

UNIT 4

ROLLING LOADS & INFLUENCE LINES

2 MARKS QUESTIONS

1. Define Influence line diagram.

2. What are the uses of influence line diagram?

14 MARKS QUESTIONS

1. Two point loads of 125kN and 250kN spaced 4m in figure 1, apart cross a girder of 17.5m from

left to right with the 125kN load leading. Draw the influence line for the bending moment and

find the value of maximum bending moment at a section C, 7.5m from the left hand support. Also

find the absolute maximum bending moment due the given load system.

Figure 1

2. Four wheel load of 7,5,9 & 6 kN cross a girder of span 22.5m from the left to right followed by

an UDL of 5kN/m of 4m length. The 7kN load is leading. The spacing between the loads are

shown in fig 2. The head of UDL is 3m from the last load of 6kN. Using influence lines calculate

the shear force and bending moment at a section 8m form the left support when the 5kN load is at

the center of span.

Figure 2

3. Draw the influence line diagrams for the forces in the members P, Q, & R of the truss shown in

fig 3.

Figure 3

4. Draw the influence lines for the members U1U2,, L2L3, U3L3, & U4L4 of the deck type girder

shown in figure 4.

Figure 4

UNIT 5

CABLES, SUSPENSION BRIDGES & ARCHES

2 MARKS QUESTIONS

1. Explain briefly the advantages of the suspension bridges.

2. What are different types of arches ?

3. Write the functions of stiffening girders in suspension bridges.

14 ARKS QUESTIONS

1. Explain the working of 3-hinges arches?

2. Explain the linear arch.

3. A three hinged parabolic arch of 25m and 4.5m carries an UDL of 25kN/m on the right half of the

span. Find the maximum bending moment for the arch.

4. A suspension bridge 275m span has two 3-hinged stiffening a central dip of 30m. The width of

roadway is 8.25m. The roadway carries a load of 0.75kN/m2 extending over the entire span and a

live load of 1.25kN/m2 extending over the right half of the bridge. Find the bending moment and

shear force at a point 75m and 175m from the left hinge. Also calculate the maximum tension in

the cable.

5. A suspension bridge of 100m span has two-hinged stiffening girders supported by two cables,

having a central dip of 10. The dead load on the bridge is 5kN per sq meter and live load is

10kN/m2, which covers the left half of the span. Determine the shear force and bending moment

for the girder at 25m from the left end. Find also the maximum tension in the cable for this

position of the load. The road way is 6 meters.

6. An Arch hinged at Crown Point and at both end support is parabolic in shape, having span of 36m

and a central rise of 6m. The arch carries concentrated load of 100kN at a distance 9m from right

support and a uniformly distributed load of 45kN/m over left of half of the arch calculate moment

thrust and radial shear at a point 10m from left support.