Simple Truss - Introductory Mechanical Engineering - Exam, Exams of Mechanical Engineering

Main points of this exam paper are: Simple Truss, Easily Determine, Statically, Method of Joints, Method of Sections, Cylindrical Drum, Flexible Belt, Plane Inclined, Coefficient of Friction, Verge of Sliding

Typology: Exams

2012/2013

Uploaded on 04/10/2013

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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 1 Examinations 2008/09
Module Title: Introductory Mechanics of Machines and Materials
Module Code: MECH 6009
School: Mechanical and Process Engineering
Programme Title: Bachelor of Mechanical Engineering (Honours)
Programme Code: EMECH_8_Y1
External Examiner(s): Mr. P. Clarke and Prof. Robin Clarke
Internal Examiner(s): Dr Keith McMullan
Instructions: Answer Question 1 and 3 other questions
Duration: 2 Hours
Sitting: Winter 2008
Requirements for this examination: Log book
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you are
attempting the correct examination.
If in doubt please contact an Invigilator.
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CORK INSTITUTE OF TECHNOLOGY

INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ

Semester 1 Examinations 2008/

Module Title: Introductory Mechanics of Machines and Materials

Module Code: MECH 6009

School: Mechanical and Process Engineering

Programme Title: Bachelor of Mechanical Engineering (Honours)

Programme Code: EMECH_8_Y

External Examiner(s): Mr. P. Clarke and Prof. Robin Clarke

Internal Examiner(s): Dr Keith McMullan

Instructions: Answer Question 1 and 3 other questions

Duration: 2 Hours

Sitting: Winter 2008

Requirements for this examination: Log book

Note to Candidates: Please check the Programme Title and the Module Title to ensure that you are attempting the correct examination. If in doubt please contact an Invigilator.

(1) Clearly explain the following terms as applied to trusses:

  • roller-support • simple truss
  • external redundancy • under-stiff (4 marks)

Give a rule-of-thumb that allows us to easily determine whether a truss is statically determinate. Is it fool-proof? Illustrate your answer with sketches. (1 mark)

With regard to the truss shown in the diagram above, calculate the force in the truss member DG using either the Method of Joints or the Method of Sections. The lengths shown in the diagram are in meters. (20 marks)

(2) Derive from first principles an expression for tension in a flexible belt on the point of slipping over a cylindrical drum. (10 marks)

A 100kg block rests on a plane inclined at 30deg to the horizontal. It has a pulley affixed to its right hand side, through which a rope is passed. One end of the rope is affixed to the plane, the other passes over a fixed drum for one complete revolution plus the angle shown. A 5kg mass is affixed to the end. If the coefficient of friction between plane and mass is 0.2, what is the minimum coefficient of friction between rope and drum such that the 100kg mass is on the verge of sliding downwards? (15 marks)

100kg (^) 5kg

30deg

A

B

C E

D

F

G

H

20kN

12kN 10kN