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Structural Analysis and Strength of Materials

Quiz covering structural analysis, stress mechanics, beam deflection, truss analysis, and strength of materials including thermal stress, shear stress, and influence lines.

20 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

A rigid bar is suspended by three rods made of the same material as shown in the figure. The area and length of the central rod are 3A and L respectively, while that of the two outer rods are 2A and 2L respectively. If a downward force of 50 kN is applied to the rigid bar, the forces in the central and each of the outer rods will be

  1. 16.67 kN each
  2. 30 kN and 15 kN
  3. 30 kN and 10 kN
  4. 21.4 kN and 14.3 kN
Question 2 Multiple Choice (Single Answer)

The maximum and minimum shear stresses in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 Nm will be

  1. 59 MPa and 47.2 MPa
  2. 10 MPa and 80 MPa
  3. 118 MPa and 160 MPa
  4. 200 MPa and 160 MPa
Question 3 Multiple Choice (Single Answer)

The shear stress at the neutral axis in a beam of triangular section with a base of 40 mm and height of 20 mm, subjected to a shear force of 3 kN is

  1. 3 MPa
  2. 6 MPa
  3. 10 MPa
  4. 20 MPa
Question 4 Multiple Choice (Single Answer)

A metal bar of length 100 mm is inserted between two rigid supports and its temperature is increased by 10°C. If the coefficient of thermal expansion is 12 x 10–6 per °C and the Young’s modulus is 2 x 105 MPa, the stress in the bar is

  1. zero
  2. 12 MPa
  3. 24 MPa
  4. 2400 MPa
Question 5 Multiple Choice (Single Answer)

The right triangular truss is made of members having equal cross-sectional area of 1550 mm2 and Young’s modulus of 2 x 105 MPa. The horizontal deflection of the joint Q is

  1. 2.47 mm
  2. 10.25 mm
  3. 14.1 mm
  4. 15.68 mm
Question 6 Multiple Choice (Single Answer)

The influence line diagram (ILD) shown is for the member

  1. PS
  2. RS
  3. PQ
  4. QS
Question 7 Multiple Choice (Single Answer)

A two span continuous beam having equal spans each of length L is subjected to a uniformly distributed load $\omega$ per unit length. The beam has constant flexural rigidity.

The reaction at the middle support is

  1. $\omega$L
  2. $\frac{5 \omega L}{2}$
  3. $\frac{5 \omega L}{4}$
  4. $\frac{\omega L^2}{16}$
Question 8 Multiple Choice (Single Answer)

The span(s) to be loaded uniformly for maximum positive (upward) reaction at support P, as shown in the figure below, is (are)

  1. PQ only
  2. PQ and QR
  3. QR and RS
  4. PQ and RS
Question 9 Multiple Choice (Single Answer)

A vertical PQ of length L is fixed at its top end P and has a flange to the bottom end Q. A weight W is dropped vertically from a height h (<L) on to the flange.
The axial stress in the rod can be reduced by

  1. increasing the length of the rod
  2. decreasing the length of the rod
  3. decreasing the area of cross-section of the rod
  4. increasing the modulus of elasticity of the material
Question 10 Multiple Choice (Single Answer)

The members EJ and IJ of a steel truss (shown in the figure below) are subjected to a temperature rise of 30oC. The coefficient of thermal expansion of steel is 0.000012 per oC per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of the truss is

  1. 0.255
  2. 0.589
  3. 0.764
  4. 1.026
Question 11 Multiple Choice (Single Answer)

Beam GHI is supported by the pontoons as shown in the figure below. The horizontal cross sectional area of each pontoon is 8 m2, the flexural rigidity of the beam is 10000 kN-m2 and the unit weight of water is 10 kN-m3.

When the middle pontoon is removed, the deflection at H will be

  1. 0.2 m
  2. 0.4 m
  3. 0.6 m
  4. 0.8 m
Question 12 Multiple Choice (Single Answer)

The degree of static indeterminacy of the rigid frame having two internal hinges as shown in the figure below, is

  1. 8
  2. 7
  3. 6
  4. 5
Question 13 Multiple Choice (Single Answer)

The unit load method used in structural analysis is

  1. applicable only to statistically indeterminate structures
  2. another name for stiffness method
  3. an extension of Maxwell’s reciprocal theorem
  4. derived from Castigliano’s theorem
Question 14 Multiple Choice (Single Answer)

For linear elastic systems, the type of displacement function for the strain energy is

  1. linear
  2. quadratic
  3. cubic
  4. quartic
Question 15 Multiple Choice (Single Answer)

For a linear elastic structural system, minimization of potential energy yields

  1. compatibility conditions
  2. constitutive relations
  3. equilibrium equations
  4. strain-displacement relations
Question 16 Multiple Choice (Single Answer)

Muller Breslau principle in structural analysis is used for

  1. drawing influence line diagram for any force function
  2. writing virtual work equation
  3. super position of load effects
  4. none of these
Question 17 Multiple Choice (Single Answer)

A curved member with a straight vertical leg is carrying a vertical load at Z, as shown in the figure. The stress resultant(s) in the XY segment is/are

  1. bending moment, shear force and axial force
  2. bending moment and axial force only
  3. bending moment and shear force only
  4. axial force only
Question 18 Multiple Choice (Single Answer)


A bar of varying square cross section is loaded symmetrically as shown in the figure. Loads shown are placed on one of the axes of symmetry of cross-section. Ignoring self weight, the maximum tensile stress in N/mm2 anywhere is

  1. 16.0
  2. 20.0
  3. 25.0
  4. 30.0
Question 19 Multiple Choice (Single Answer)

The stiffness K of a beam deflecting in a symmetric mode, as shown in the figure, is

  1. $\frac{EI}{L}$
  2. $\frac{2EI}{L}$
  3. $\frac{4EI}{L}$
  4. $\frac{6EI}{L}$
Question 20 Multiple Choice (Single Answer)

The symmetry of stress tensor at a point in the body under equilibrium is obtained from

  1. conservation of mass
  2. force equilibrium equations
  3. moment equilibrium equations
  4. conservation of energy
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