Solid And Structural Mechanics I Question Paper

Solid And Structural Mechanics I

Course:Bachelor Of Science In Mechanical And Manufacturing Engineering

Institution: Kenyatta University question papers

Exam Year:2009

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2009/2010
FIRST SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR OF
ENGINEERING

SET 302:
SOLID AND STRUCTURAL MECHANICS I

DATE: Monday, 21st December, 2009

TIME: 2.00 p.m. – 4.00 p.m.
------------------------------------------------------------------------------------------------------------
INSTRUCTIONS:
• This paper contains FOUR questions
• All questions carry equal marks
• Answer THREE questions

QUESTION 1
Fig. Q1 shows a block of steel block of upper diameter 120 mm, lower diameter 80 mm
and length 600 mm placed on top of a bronze tube of outside diameter 100 mm, inside
diameter 40 mm and length 600 mm.
A comprehensive load of magnitude 240 KN is applied as the assembly before the ends
are secured in a fixed position by a rigid end plate and a rigid surface:
a)
Calculate the magnitude of the stress in the bronze tube.
b)
If the rigid surface yields by 0.1 mm, calculate the resulting stress in the bronze
tube.
Esteel = 200 Gn/m2; Ebronze = 100 GN/m2

Page 1 of 2

QUESTION 2
Fig. Q2 shows a rigid bar ABCD held in a horizontal position by a steel rod and on
aluminium rod and hinged at the left-hand end. A load of magnitude 60 KN is applied at
point C.
i)
Calculate the resulting stresses in the aluminium rod and in the steel rod.
ii)
If then the temperature of the whole assembly is increased by 40oC. Calculate
the resulting final stresses in the steel rod and in the aluminium rod.
Esteel = 200 GN/m2 ; Ealuminium = 70 GN/m2
? steel = 12 x 10-6/oC ; ? aluminium = 23 x 10-6/oC

QUESTION 3
Fig. Q3 shows a compound bar composed of a steel rod of diameter 60 mm; a bronze
tube of outside diameter 100 mm and inside diameter 80 mm and a steel tube of outside
diameter 60 mm and inside diameter 40 mm. The steel rod has length 200 mm, the
bronze tube 100 mm and the steel tube 200 mm. The bronze tube and the steel rod are
fixed at their ends.
If a torque of magnitude 2.2 Kn – m is applied at the free end of the steel rod, calculate
i)
the torques in the steel rod, the bronze tube and in the steel tube
ii)
the maximum shear stress in the steel tube.

Gsteel = 80 GN/m2 ; Gbronze = 47 GN/m2

QUESTION 4
Fig. Q4 shows a rod of diameter 0.8a and length 8a fixed at the left-hand end and
supporting a tensile axial load of magnitude 16|N and a load |N applied eccentrically.
For a point A on the surface of the shaft at the fixed end.
i)
Calculate the magnitude of the principal stresses and the inclination of the
principal stresses.
ii)
What would be the magnitudes of the Maximum Shear Stresses and their
corresponding inclinations.

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