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Theory Of Structure

Question 1
Consider the clamped-clamped elastic beam loaded by a uniformly distributed line load q.
a) Formulate the boundary conditions.
b) Find the maximum deflection magnitude and location.
c) Determine the location and magnitude of the maximum stress in the beam.
Question 2
Calculate the second moment of inertia of the beam cross section for:
a) Solid rectangular cross section of width b and height h.
b) Thin-walled square box section of width and height b.
c) Solid circular cross section of radius r.
Question 3
Which of the following sections has highest shape factor? Discuss
Question 4
Calculate the maximum deflection in a beam simply supported at the both ends as shown in Figure below
where the thickness of the beam in the direction perpendicular to the page surface is 10 mm. A beam
simply supported at the both ends and subjected to a concentrated force of 100N at the centre of the
span. Material: mild steel having Young’s modulus E =210 GPa and Poisson’s ratio ν=0.3.