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Emm303: Solid And Structural Mechanics Question Paper

Emm303: Solid And Structural Mechanics

Course:Bachelor Of Science In Mechanical Engineering

Institution: Kenyatta University question papers

Exam Year:

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2011/2012
SECOND SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR
OF SCIENCE (MANUFACTURING ENGINEERING)
EMM 303:
SOLID AND STRUCTURAL MECHANICS

DATE: Tuesday, 10th April, 2012

TIME: 2.00 p.m. – 4.00 p.m.
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INSTRUCTIONS:
i)
This paper contains FOUR questions
ii)
All questions carry EQUAL marks
iii)
Attempt THREE questions.
Question 1
Fig. Q 1 shows a beam 9m long and simply supported over a span length of 6m. The
beam supports a distributed load varying magnitude linearly from zero at the left-hand
end to 120 KN/m at the right support. The beam also carries a uniformly distributed load
of magnitude 40 KN/m over the remaining 3m length.
i)
Calculate the reactions at the supports
ii)
Draw to scale the Shear Force and the Bending Moment diagrams.

Question 2
Fig Q 2 shows a simply supported beam of length ‘1’ and supporting a distributed load
varying in magnitude linearly from zero at the left-hand end to 60 KN/m at the right-hand
end. The cross-section of the beam is indicated in Fig Q 2 (ii) with the dimensions in
millimeters.

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If for the beam material, the limiting stresses in tension and in compression are
respectively 260 MN/m2, calculate the acceptable value of ‘1’.

Question 3
Fig q 3 shows a beam of length 2a, simply supported at the ends and supporting a
distributed load varying in magnitude linearly from zero at the left-hand end to ‘w’ N/M
at the right-hand end. The beam also carries an anti-clockwise couple of magnitude
0.8wa2 N-M at the centre.
Derive an expression for the deflection of the beam at the centre in terms of the indicated
parameters as well as E and I.
E – Modulus of Elasticity of the beam
I – Second Moment of Area of the beam Gross-section

Question 4
Fig Q 4 shows a wooden beam 400 mm x 200 mm reinforced by rigidly attaching two
steel plates, one of dimensions 400 mm x 20 mm to the left-hand side and another of
dimensions 200 mm x 20 mm on the right-hand side.
If the maximum allowable stress in steel is 135 MN/m2 and that in wood is 8 MN/m2,
calculate the maximum allowable Bending Moment that the beam can withstand.
E steel = 200 GN/m2; E wood = 8.5 GN/m2

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Emm303: Solid And Structural Mechanics Question Paper

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