NODIA AND COMPANY. Model Test Paper - I GATE Machine Design. Copyright By Publishers

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No part of this publication may be reproduced or distributed in any form or any means, electronic, mechanical, photocopying, or otherwise without the prior permission of the author. Model Test Paper - I GATE Copyright By Publishers Information contained in this book has been obtained by authors, from sources believes to be reliable. However, neither Nodia nor its authors guarantee the accuracy or completeness of any information herein, and Nodia nor its authors shall be responsible for any error, omissions, or damages arising out of use of this information. This book is published with the understanding that Nodia and its authors are supplying information but are not attempting to render engineering or other professional services. NODIA AND COMPANY B-8, Dhanshree Tower Ist, Central Spine, Vidyadhar Nagar, Jaipur 302039 Ph : +91-141 - 2101150 www.nodia.co.in email : enquiry@nodia.co.in Printed by Nodia and Company, Jaipur

Q. 1 - Q. 5 carry one mark each. Q.1 A static load is mounted at the centre of a shaft rotating at uniform angular velocity. The shaft will be designed for (A) fatigue loading (C) the maximum tensile stress (B) the maximum compressive stress (D) the maximum bending moment Q.2 Design of power transmission shafting is based on (A) Maximum shear stress theory of failure (B) St. Venant theory (C) Rankine s theory (D) Heigh s theory Q.3 A single-row deep groove ball bearing is subjected to a pure radial force of 3kN from a shaft that rotates at 600 rpm. The expected life of the bearing is 30000 hours. What will be the expected dynamic load capacity of bearing for this application? (A) 44631 N (C) 24624 N (B) 38475 N (D) 30780 N Q.4 A plate clutch consists of one pair of contacting surfaces. The inner and outer diameters of the friction disk are 100 and 200 mm respectively. The coefficient of friction is 02. and the permissible intensity of pressure is 1 Nmm / 2. What will be the torque transmitting capacity of the clutch using uniform-wear theory? (A) 235.7 N - m (B) 188.6 N - m (C) 149.3 N - m (D) 280.8 N - m Q.5 A thin cylindrical pressure vessel of 220 mm radius, is subjected to an internal pressure of 2 Nmm / 2 2. If s y = 230 Nmm / and factor of safety is 2, what will be the wall thickness of the vessel as per the principle stress theory? (A) 2.87 mm (C) 5.72 mm (B) 3.83 mm (D) 4.60 mm

Q. 6 - Q. 15 carry two marks each. Q.6 Three bolts are used to connect a steel plate with a channel section structural member, as shown in figure. The tensile stress area of each bolt is 245 mm 2. The permissible yield stress for the plate material is s yp = 460 MPa and factor of safety is 20.. What will be the eccentric load ^W h that can be carried by the steel plate? (A) 16.05 kn (C) 24.07 kn (B) 20.86 kn (D) 12.03 kn Q.7 A bracket is supported by means of 4 rivets of the same size as shown in figure. What will be the maximum shearing load on bolt 1? (A) 12.9 kn (C) 16.8 kn (B) 24.3 kn (D) 20.2 kn

Q.8 A steel spur pinion has a module of 1mm and 16 teeth cut on the 20c full-depth system and is to transmit 0.15 kw at 400 rev / min. If the modified tooth form factor is 0. 296 and the velocity factor is 0. 948, the suitable face width based on an allowable bending stress of 150 MPa, will be (A) 9.1 mm (B) 10.6 mm (C) 14.3 mm (D) 12.8 mm Q.9 A pair of spur gears is to be designed to transmit 6kW at 800 rpm of pinion. A gear of 72 full 20c involute teeth, rotates at 200 rpm. Starting torque of electric motor supplying power to pinion can be taken as 140 % of rated torque. If module is 4.5 mm, what will be the radial load on the tooth? (A) 900 N (B) 790 N (C) 1125 N (D) 990 N Q.10 The block brake of drum radius 375 mm is shown in figure. The torque capacity of the brake is 225 N - m and coefficient of friction is 03.. If a = 1m, b = 400 mm and c = 50 mm, what will be the force to be applied at the end of the lever for clockwise rotation of the drum? (A) 830 N (C) 540 N (B) 900 N (D) 690 N

Q.11 For the simple band brake shown in figure, the drum diameter is 350 mm and the angle of lap of the band is 265c. If the coefficient of friction is 025. and braking force is 90 N, what will be the braking torque? (A) 62.16 N - m (B) 71.96 N - m (C) 94.72 N - m (D) 85.35 N - m Numerical Answer Questions Q.12 A channel section is connected to a steel plate by 4 bolts, as shown in the figure. The nominal diameter of the bolt is 14 mm. If the maximum shear stress in the bolt section in not to exceed 120 MPa and the entire load is equally shared by the bolts, how much eccentric load W (kn) can be applied on the steel plate?

Q.13 Consider a shaft to be designed on the basis of torsional strength and rigidty. The allowable shear stress is 55 MPa and the maximum allowable twist is 0.3 deg / m. If G = 80 GPa, what will be the diameter (mm) of the shaft? Common Data Questions Common Data for Questions 14 and 15: A full journal bearing operating under a steady load has journal diameter of 60 mm and bearing length of 60 mm. Radial load on bearing is 2.8 kn and journal speed is 1020 rpm. -9 2 The radial clearance is 0.05 mm and viscosity of oil is 80 10 Ns/ mm. Q.14 What will be the Sommerfeld number for this bearing? (A) 0.503 (B) 0. 629 (C) 0.420 (D) 0.786 Q.15 What will be the power loss? (A) 174 W (C) 186 W (B) 153 W (D) 214 W # - END OF THE QUESTION PAPER For detailed Solutions of this test paper please mail to enquiry@nodia.co.in. Please mention your Name, College, Graduating Year and GATE Registration Number in the mail.