Structural Analysis-I 2022 Question Paper — Government College of Eng…

Instructions

• Attempt five questions in all selecting at least one question from each Unit.
• Each question carries 20 marks.
• Assume missing data if any.

Questions

UNIT-I

• Q1. (a) Define the system of forces. Sketch all the system of forces. State and prove lami's theorem (b) Two identical rollers, each of weight $100\text{ N}$, are supported by an inclined plane and a vertical wall as shown in below Figure. Assuming smooth surfaces, find the reactions induced at the points of support A, B and C. [20 marks]
• Q2. (a) Four forces acting at a point as follows: 1. $20\text{ N}$ towards east 2. $30\text{ N}$ towards north 3. $30\text{ N}$ towards north west 4. $15\text{ N}$ towards south. Find the magnitude and direction of resultant of force. (b) A and B are two fixed points in a horizontal line at a distance p apart. Two fine line strings AC and BC of length q and r support a mass at C, show that the tension in the strings are in the ratio. $q(r^2 + p^2 - q^2) : r(q^2 + p^2 - r^2)$ [20 marks]

UNIT-II

• Q3. (a) Determine the mass moment of inertia of an annular ring of mass M and, of external and internal radii $R_1$ and $R_2$ about centroidal axis perpendicular to plane of paper. (b) A hemisphere of diameter $60\text{mm}$ is placed on the top of a cylinder, whose diameter is also $60\text{mm}$, The height of the cylinder is $75\text{mm}$. Find the common C.G of the composite body. [20 marks]
• Find the magnitude and nature of forces in the members EC, CB, AC and ED of the loaded truss as shown [20 marks]

UNIT-III

• Q5. (a) A uniform ladder of $300\text{N}$ rests agninst a smooth vertical wall and a rough horizontal floor making an angle of $60^{\circ}$ with the horizontal. Use the method of virtual work to find the frictional force between the foot of the ladder and the rough horizontal floor. (b) Explain the following: 1. principal of virtual work. 2. D'Alembert's principle 3. Law of transmissibility 4. Virtual work [20 marks]
• Q6. (a) State and prove the parallelogram law of forces. Also state Newton's laws of motion. Determine the reactions at A and B in the over hanging beam (b) A uniform ladder, $6\text{m}$ long and having weight $300\text{N}$, rests on a smooth floor at A and against a smooth wall at B as shown in fig PQ a horizontal rope is used to prevent the ladder from slipping. Using the principle of virtual work, determine, tension in the rope. [20 marks]

UNIT-IV

• Q7. (a) An object of $100\text{N}$ weight falls by gravity a vertical distance of $5\text{m}$, when it is suddenly stopped by a collar at the end of a vertical rod of length $10\text{m}$ and diameter $20\text{mm}$. The top of the bar is rigidly fixed. Calculate the maximum stress and strain induced in the bar due to impact. Take $E=200\text{GN}/\text{m}^2$ for the material of the rod. (b) A bar $100\text{cm}$ in length is subjected to an axial pull, such that the maximum stress is equal to $150\text{MN}/\text{m}^2$. Its area of cross-section is $2\text{cm}^2$ over a length of $95\text{cm}$ and for the middle $5\text{cm}$ length it is only $1\text{cm}^2$. If $E=200\text{GN}/\text{m}^2$ Calculate the strain energy stored in the bar. [20 marks]
• Q8. (a) A concrete cylinder of diameter $150\text{mm}$ and length $300\text{mm}$ when subjected to an axial compressive load of $240\text{kN}$ resulted in an increase of diameter by $0.127\text{mm}$ and a decrease in length of $0.28\text{mm}$. Compute the value of poisson's ratio and modulus of elasticity. (b) Derive the relationship between Young's modulus and bulk modulus. Explain the concept of strain energy. [20 marks]

Related pages

• Structural Analysis-I syllabus
• All Structural Analysis-I papers from 2022

Other years

• Structural Analysis-I 2022 question paper — end-term