Solid And Structural Mechanics Iii Question Paper
Solid And Structural Mechanics Iii
Course:Bachelor Of Science In 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 404: SOLID AND STRUCTURAL MECHANICS III
DATE: Thursday 24th December, 2009 TIME: 11.00 a.m. – 1.00 p.m.
INSTRUCTIONS
• This paper contains FOUR questions.
• All questions carry equal marks.
• Answer THREE questions.
Question 1
Fig. Q1 (i) shows a bracket in the form of a curved beam. The bracket is fixed at the
upper end and it carries a load W and a clockwise moment of magnitude Wa. The cross-
section of the bracket is indicated in Fig. Q1 (ii) and all the dimensions are indicated as
functions of ‘a’.
At section x-y of the bracket, derive expressions for the maximum tensile stress and the
maximum Compressive stress in terms of the indicated parameters.
Question 2
Fig. Q2 (i) shows a cartilever beam fixed at the left-hand end an supporting loads of
magnitudes 2W, 2W and 1.6W applied eccentrically. The cross-section of the beam is
indicated in Fig. Q2 (ii) and all the dimensions are given as functions of ‘a’.
Derive expressions for the Maximum Tensile Stress and Maximum Compressive Stress at
he fixed end of the beam (Section x – y) in terms of the indicated parameters.
Page 1 of 2
Question 3
Fig. Q3 shows the cross-section of a beam of length 12a fixed at one end and supporting
a vertical downward acting load W at the free end.
Derive expressions for the maximum Tensile Stress and the Maximum Compressive
Stress (in terms of the indicated parameters) at the fixed end of the beam (Section x – y).
Question 4
Fig. Q4 shows the cross-section of a thin-walled two-celled tube subjected to a torque T.
The dimensions of the sections are given as function of ‘a’ and the thicknesses of the
various sections are indicated as function of ‘t’.
Derive in terms of the indicated parameters
(i)
the shear stresses in all the walls
(ii)
the expression for the angle of twist per unit length
G = Torsiaral Modulus of Rigidity of the material.
…………………….
Page 2 of 2
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