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Set 303: Solid And Structural Mechanics Question Paper

Set 303: Solid And Structural Mechanics

Course:Bachelor Of Science Manufacturing Engineering

Institution: Kenyatta University question papers

Exam Year:2008

DATE: Monday 28th April, 2008
TIME: 8.00 – 10.00 a.m.
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INSTRUCTIONS:
(i)
This paper contains FOUR questions.
(ii)
All questions carry EQUAL marks.
(iii)
Answer THREE questions.

Question 1
Fig Q1 shows a beam 6m long and simply supported on two supports 4m apart. The
beam carries a distributed load varying in magnitude linearly from zero at the left-
hand end to 120 KN/m at the right-hand end. A point load of magnitude 80 KN-m
are applied at the left-hand end.
(i)
Calculate the reactions at the supports.
(ii)
Draw to scale the shear force and the Bending moment diagrams.
Question 2
Fig. Q2 shows a simply supported beam of length ''l'' 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 Q2 (ii) with the
dimensions in millimetres.
If for the beam material, the limiting stresses in tension and in compression are
respectively
2
MN / m , calculate the acceptable value of ''l''.
Question 3
Fig Q3 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 ''?''
N/m at the right-handed. The beam also carries an anti-clockwise couple of
magnitude
2
8
.
0
a
? at the centre.
Drive an expression for the deflection 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 cross-section.

Question 4
Fig Q4 shows a wooden beam 20 mm x 400 mm reinforced by rigidly attaching two
steel plates of dimensions 20 mm x 400 mm one on each 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.

Esteel=200 GN/m2 ; Ewood = 8.5 GN/m2

Set 303: Solid And Structural Mechanics Question Paper

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