MECHANICS OF SOLIDS (Common to Mechanical Engineering, Mechatronics, Production Engineering and Mechanical and Manufacturing Engineering) Time: 3 Hours Max. Marks: 70 Answer any FIVE questions All questions carry equal marks ---
Define principal planes and principal stress. A rectangular block of material is subjected to a tensile stress of 1000 N/cm2. on one plane and a tensile stress of 500 N/cm2 on the right angles to the former. Each of the above stress is accompanied by a shear stress of 700 N/cm2 and that associated with the 1000 N/cm2 tensile stress tends to rotate the block clockwise. Find the directions and magnitude (a) principal planes and maximum shear stress.
2.
Draw shear force and bending moment diagrams of the beam shown in figure below.
3.a) b)
Derive flexural formula. What are the assumptions involved in the flexural formula derivation.
4.a) b)
Derive the expression for the section modulus of a hollow rectangular section. A simply supported beam 20 mm wide 500 mm deep carries a uniformly distributed load over a span of 5 m. Determine the intensity of load for an allowable bending stress of 8 N/mm2. Calculate the maximum shearing stress in the beam due to this load.
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1.a) b)
A simply supported beam AB of span l carries a uniformly distributed load p per unit length acting over the entire length of the beam. Determine the deflection at the mid span and the slope at the ends.
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5.
Contd….2.
Code No: OR-220352
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OR
A steel tube of 300 mm external diameter is to be shrunk on to another steel tube of 80 mm internal diameter. After shrinking the diameter at the junctions is 220 mm. Before shrinking on the difference of diameter at the junction is 0.08 mm. Find the hoop stresses developed in the two tubes after shrinking on and the radial pressure at the junction. Take E = 2 x 105 N/mm2.
7.
A rectangular stress components at a point P are x = 30 mpa, Ty = 5 mpa and exy = 10 mpa. Determine the principal shear planes and the principal shears. What are the normal stress values on these principal shear planes.
8.
Determine the maximum torque that can be applied to a hollow circular shaft of 20 cm out side diameter and 17 cm inside diameter without exceeding a shear stress of 800 N/cm2. Assuming G = 12 x 106 N/cm2.
3.a) Define a page fault. Explain various steps required to bring a desired page? b) Describe the process of segmentation? 4.a) What are the desirable ...
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(a) Compare and explain the role of shunt and series capacitors in P.F. correction. (b) A 400V, 50 cycles three phase line delivers 207KW at 0.8p.f. (lag). It is.
let us make a rough estimate of its role. For this assume isothermal operations in a 2.5-cm ID tubular reactor, using a Reynolds number of 10 000 for flowing fluid. The cracking reaction is approximately first order. If calculations show that 99% dec
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(a) Apply the Bresenham's algorithm to turn up pixels along the line segment determined by points (5,7) and (12,11). (b) Give parametric equation of a line ...
1.a) Define Artificial Intelligence. Explain the techniques of A.I. Also describe the · characteristics of Artificial Intelligence. b) Explain the depth first search with an ...
error in the reading due to loading effect. 2. (a) Explain in detail the measurement of power using electrodynamometer. (b) Write short notes on watt-hour meter.
(a) What is Redundancy? Explain the different types of Redundancy operation with LCU. (b) explain the operation of: i. Operator interface. ii. Engineer interface.
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b) Derive an expression for the heat loss per square metre of the surface area for a · furnace wall when the thermal conductivity varies with temperature ...
(a) Draw the butterfly line diagram for 8 - point FFT calculation and briefly explain. Use decimation in-time algorithm. (b) What is FFT? Calculate the number of ...
With a brief note on decision functions, explain in detail about linear decision · functions. 2.a) Write a short note on cluster analysis. b) Explain a cluster-seeking ...
(b) Discuss briefly similarities and differences between FM and AM receivers. (c) Write in detail about the limiter used in FM receiver. 6. (a) Discuss the basic ...
8.a) What are the constraints on ROC for various classes of signals in z transform? b) Find the z transform of the sinusoidal signal XT (n)=sin (bn)*uT (n).
LINEAR DIGITAL I.C. APPLICATIONS. ( Common to Electronics ... (a) Explain the operation of Monostable multivibrator using 555 timer. Derive the expression of ...
