Solid And Structural Mechanics Iii Question Paper

Solid And Structural Mechanics Iii

Course:Engineering In Mechatronics

Institution: Kenyatta University question papers

Exam Year:2008

Question 1
Figure Q 1 (i) shows a bracket in the form of a curved beam. The bracket is fixed at the lower end and it carries a vertical downward acting load W. The cross-section of the bracket is indicted in Fig Q 1 (ii) and all the dimension 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 beam in the form of a cantilever beam with a load of magnitude 2W and another of 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 the Maximum Compressive Stress at the fixed end of the beam (Section x – y) in terms of the indicated parameters.
2
Question 3
Fig Q3 shows the Cross-Section of a beam of length 12a fixed at one end and supporting a vertical upward acting load of magnitude W at the free end.
Derive expressions for the Maximum Tensile and Maximum Compressive Stresses 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 give as function of ‘a’ and the thick nesses of the various sections are indicated as functions 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 = Tarsi anal Modulus of Rigidity of the material

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