B.TECH - Semester 4 structural analysis i Question Paper 2020 (sep)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- 403 : STRUCTURAL ANALYSIS - I (C) (2013 Scheme) Time : 3 Hours Max. Marks : 100 PART - A Answer all questions.
- How is the equilibrium method of analysis different from the compatibility method of analysis?
- Derive the expressions for strain energy and complementary strain energy of a straight prismatic bar of length $L$ and cross-sectional area $A$ if it is subjected to an axial force $F$.
- Define Eddy's $s$ theorem. How is it used in the analysis of arches?
- Write the assumptions made in Euler's theory.
- A simply supported girder has a span of 12 m . A 200 kN wheel load moves from one end to the other end on the span of the girder. Find the maximum bending moment which can occur at a section 4 m from the left end. ( $\mathbf{5} \boldsymbol{\times} \m...
- A simply supported beam of span 6 m is carrying a load of $12 \mathrm{kN} / \mathrm{m}$ for the right half of the span. If $E=200 \mathrm{kN} / \mathrm{mm}^{2}$ and $I=5.5 \times 10^{-4} \mathrm{~m}^{4}$, find the maximum slope at the support and max...
- Using moment-area method, evaluate deflection at C of over-hanging beam ABC shown in figure below. Take $\mathrm{E}=200 \mathrm{kN} / \mathrm{mm}^{2}$ and $\mathrm{I}=800 \times 10^{6} \mathrm{~mm}^{4}$.
- Calculate the horizontal and vertical forces at D in the three-wire system shown in figure below in order to produce (a) unit horizontal displacement at D without any vertical displacement at D. and
- Calculate the horizontal and vertical forces at D in the three-wire system shown in figure below in order to produce (b) unit vertical displacement at D without any horizontal displacement at D . Area of cross section of each member is shown alongsid...
- A simply supported beam of span 6 m is subjected to 15 kN and 30 kN respectively at 1.5 m and 3.0 m from the left support. Using energy method, calculate rotations at the supports if $\mathrm{EI}=10,000 \mathrm{kNm}^{2}$.
- The span and rise of an arch are 40 m and 10 m respectively. The equation of the arch is $y=x-\left(x^{2} / 40\right)$ with the origin at the left abutment and $X$-axis directed towards right and Y -axis upwards. If a udl of $15 \mathrm{kN} / \mathrm...
- Find the ratio of the strength of a solid circular column with that of a hollow circular column of equal area, whose internal diameter is $\frac{2}{3}$ the external diameter. Both the columns are of the same material having the same length and are hi...
- A udl of length 5 m and intensity $25 \mathrm{kN} / \mathrm{m}$ moves across a simple beam of span 30 m . Determine the maximum negative and positive shear force, and maximum bending moment at sections $3 \mathrm{~m}, 7 \mathrm{~m}, 12$ in from the l...
- Two point loads of 50 kN and 75 kN spaced 3 m apart with the 50 kN load leading passes over a simply supported span of 12 m from left to right. Using influence line diagrams, calculate the maximum shear force and bending moment at a section 4.8 m fro...
- Explain the method of tension coefficients for 3 D pinjointed frames.
- 403 : STRUCTURAL ANALYSIS - I (C) Time : 3 Hours Max. Marks : 100 PART - A Answer all questions :
- Derive the differential equation for computation of deflection of beams.
- Explain Macaulay's method for a beam with external moment.
- State and prove Castigliano's first theorem.
- Explain the advantages of arches over beams to carry the same load system.
- State and explain Clark-Maxwell's reciprocal theorem.
- Derive the secant formula for a long column subjected to eccentric loading.
- What is influence line diagram? What are its uses? $$ (8 \times 5=40 \text { Marks) } $$ PART - B Answer any one questions from each Module.
- A simply supported beam of span 6 m is carrying a point load 60 kN at 4 m from left support. Compute the deflection under the load and maximum deflection using Moment-Area method. OR
- Compute the deflection under the load D and slope at B for the beam shown below using conjugate beam method. Module - II
- Determine the vertical deflection and slope at the free end of the cantilever shown in figure by principle of virtual work OR
- A three hinged parabolic arch of span 30 m and rise 3 m carries a udl of $20 \mathrm{kN} / \mathrm{m}$ over the left half portion. Calculate the reactions at the hinges. Find also the Bending moment, Normal thrust and shear force at 7.5 m from left h...
- Compare the ratio of the strength of a solid steel column to that of a hollow column of the same cross sectional area. The internal diameter of hollow column is $\frac{3}{4}$ of the external diameter. The columns have the same length and are
- pinned at the ends.
- A simply supported girder of 20 m span having a dead load of $12 \mathrm{kN} / \mathrm{m}$ is traversed by a live load of $4 \mathrm{kN} / \mathrm{m}, 10 \mathrm{~m}$ long. Find the maximum BM at 8 m from left support. Also find absolute maximum BM a...