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Solid And Structural Mechanics I Question Paper

Solid And Structural Mechanics I

Course:Bachelor Of Science

Institution: Kenyatta University question papers

Exam Year:2008

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2008/2009
FIRST SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE
SET 302: SOLID AND STRUCTURAL MECHANICS I
DATE: THURSDAY, 27TH NOVEMBER 2008 TIME: 2.00 P.M. – 4.00 P.M.
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INSTRUCTIONS:
This paper contains FOUR questions.
All questions carry EQUAL marks.
Answer THREE questions.

Question 1
(a) Define the following terms as used in engineering
(i) Modulus of Elasticity
(ii) Poisson’s ratio

(b) Fig Q1 shows a strip cut from a material of thickness ‘t’ and the remaining dimensions
are indicated as functions of ‘a’. A tensile load W is applied on the strip.
Derive an expression for the overall deflection of the strip in terms of the indicated parameters. The Modulus of Elasticity of the strip material is E.

Question 2
Fig Q2 shows a rigid bar ABCD, hinged at point A and supported by a steel rod and an
aluminium rod in a horizontal direction. A vertical downward acting load of magnitude
60 KN is applied at point D.
(i) Calculate the stresses in the steel rod and in the aluminium rod.
(ii) If the temperature is now increased by 40oC calculate the resulting final
stresses in the steel rod and in the aluminium rod.
The properties of the steel rod and in the aluminium rod are indicated on the diagram.

Question 3
Fig Q3 shows a solid shaft of diameter 0.8a and length 8a, fixed at the left-hand end and
supporting a tensile load W and a clockwise couple of magnitude T = Wa.
For a point A on the surface of this shaft;
(i) Draw a rectangular element and indicate the stresses on the shaft in terms of the indicated parameters.
(ii) Calculate the magnitude of the principal stresses and the inclination of these stresses with respect to the axial direction of the shaft.
(iii) If a = 100 mm and the yield stress of the material in simple tension Ty = 360 Mn/m2
calculate the acceptable value of load W for failure not to take place at this point according to the Tresca’s failure Theory.

Question 4
Fig Q4 shows a compound bar which consists of a hollow steel tube of outside diameter 60 mm,
inside diameter 30 mm and length 600 mm; a bronze tube of outside diameter 100 mm, inside
diameter 80 mm and length 400 mm and a steel rod of diameter 40 mm and length 800 mm. The
bronze tube and the steel rod are constrained as shown wile a torque of magnitude 3.36 KN-m is applied at the end of the steel tube.
Calculate
(i) the torques in the bronze tube, the steel rod and the steel tube.
(ii) the maximum shear stress in the bronze and in the steel materials of the composite shaft.
Gsteel = 80GN/m2 : G bronze = 47 GN/m2

Solid And Structural Mechanics I Question Paper

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