GTU BE03006011 Theory of Structure Winter 2025 Question Paper & PDF

Find and draw Core or Kernel of hollow rectangular section with outer dimension 400 mm * 600 mm and internal dimensions 300 mm * 500 mm.

A rectangular column 500 mm wide by 400 mm deep is hinged at both the ends. Take length of column is 7 m, E=1.2*10⁵ N/mm². Find Euler’s crippling load.

A cylindrical shell 4 m long and 1 m internal diameter is subjected to an internal pressure of 1.5 N/mm². If the thickness of shell is 10 mm, find the circumferential & longitudinal stresses. Find also change in diameter, length and volume. Poisson’s ratio = 0.3, E= 200*10³ N/mm².

An axial pull of 60 kN is suddenly applied to a steel bar of 2.5 m long and 800 mm² in cross section. If modulus of elasticity of steel is 200 kN/mm² find maximum instantaneous stress, modulus of resilience, strain energy and maximum instantaneous extension.

Calculate deflection at point C as shown in figure 1. take EI = 40,000 kN.m². (Using Macaulay’s method)

Calculate the static and kinematic indeterminacy for structure shown in figure 3 (a,b).

Draw shear force, bending moment and axial force diagram for the rigid jointed frame as shown in figure 4.

A rectangular column of size 500*300 mm carries an eccentric load of 800 kN on the axis bisecting the thickness at 120 mm from centroidal axis. Find maximum and minimum resultant stress and draw stress diagram.

Explain Mohr’s circle method to find normal stress tangential stress and resultant stress on inclined plane. (for one direct stress and two direct stress)

Derive the equation to calculate deflection at free end of cantilever beam of L m span and subjected to UDL of w kN/m (on entire span) using conjugate beam method.

Explain load position for maximum shear force at section for UDL longer than span and shorter than span.

An UDL of 15 kN/m and 3 m length crosses a simply supported girder of span 12 m from left to right. Draw ILD for S.F. and B.M. at section 5 m from left and find maximum S.F. and B.M. at this section.