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Solution Manual

Mechanics of Civil Engineering Structures

  • 2
    • Problem 2.1. Scarf joint
    • Problem 2.2. Stresses on plate edge
    • Problem 2.3. Stresses of an I beam
    • Problem 2.4. Pressure vessel’s stresses
    • Problem 2.5. Pressure vessel’s strains
    • Problem 2.6. Design pressure vessel
    • Problem 2.7. Strain gauges
    • Problem 2.8. Stiffness matrix
    • Problem 2.9. Laminated composite
    • Problem 2.10. Lattice grid
    • Problem 2.11. Spiral stirrups
    • Problem 2.12. Plate’s loads on the edge
    • Problem 2.13. Curved beam
    • Problem 2.14. Curved I beam
    • Problem 2.15. Boussinesq formula
    • Problem 2.16. Infinite half space
    • Problem 2.17. Inclined load on a plate
    • Problem 2.18. Hole on a plate
  • 3
    • Problem 3.1. Tension rod
    • Problem 3.2. Suspended bar – self weight
    • Problem 3.3. Suspended bar- additional end weight
    • Problem 3.4. Linearly distributed tensile load
    • Problem 3.5. Bent beam with different supports
    • Problem 3.6. Timber I beam
    • Problem 3.7. Glued connection
    • Problem 3.8. Overhanging beam
    • Problem 3.9. Shear flow in a C beam
    • Problem 3.10. Shear correction factor
    • Problem 3.11. Shear deflection
    • Problem 3.12. Timoshenko beam with built-in ends
    • Problem 3.13. Timoshenko beam with different end supports
    • Problem 3.14. Timoshenko beam subjected to moment load
    • Problem 3.15. Cantilever subjected to end torque
    • Problem 3.16. Welded tube
    • Problem 3.17. Torsion of open and closed section cantilever
    • Problem 3.18. Linearly distributed torque
    • Problem 3.19. Multicell bridge
    • Problem 3.20 Effect of restrained warping
    • Problem 3.21. Bus stop
    • Problem 3.22. Unkown load function
  • 4
    • Problem 4.1. Bending of an inhomogeneous cross section
    • Problem 4.2. Shear of an inhomogeneous cross section
    • Problem 4.3. Composite cross section
    • Problem 4.4. Cracking moment
    • Problem 4.5. Deflection of a RC beam
    • Problem 4.6. Moment resistance of a RC cross section
    • Problem 4.7. Effect of compressed steel bars in elastic stage
    • Problem 4.8. Effect of compressed steel bars on plasic resistance
    • Problem 4.9. Eccentrically compressed masonry wall
    • Problem 4.10. Shear resistance of a masonry wall
    • Problem 4.11. Stresses of soil under square foundation
    • Problem 4.12. Elastic and plastic resistance of circular cross sections
    • Problem 4.13. Failure envelop
  • 5
    • Problem 5.1. Uniform temperature change
    • Problem 5.2. Linearly varying temperature change
    • Problem 5.3. Temperature change of statically indeterminate structure
    • Problem 5.4 Shrinkage
    • Problem 5.5. Shrinkage with additional moment
    • Problem 5.6. Creep
    • Problem 5.7. Prestressed beam
    • Problem 5.8. Losses of prestress due to creep
    • Problem 5.9. Creep deflection of timber beam
  • 6
    • Problem 6.1. Strain energy of a cantilever
    • Problem 6.2. Potential energy of a beam with built-in ends
    • Problem 6.3. Principle of stationary potential energy
    • Problem 6.4. Principle of virtual displacements
    • Problem 6.5. Betti’s theorem
    • Problem 6.6. Castigliano’s theorem
    • Problem 6.7. Deflection of a cantilever
    • Problem 6.8. Rotation from linearly distributed load
    • Problem 6.9. Displacement of a frame
    • Problem 6.10. Rayleigh-Ritz method
  • 7
    • Problem 7.1. Slenderness of a column
    • Problem 7.2. Load bearing capacity of columns
    • Problem 7.3. Displacement magnification factor
    • Problem 7.4. Inclination
    • Problem 7.5. Water tower
    • Problem 7.6. Critical load by the Rayleigh-Ritz method
    • Problem 7.7. Flexural-torsional buckling
    • Problem 7.8. Lateral-torsional buckling
    • Problem 7.9. Critical load of frame
  • 8
    • Problem 8.1. Vibration and deflection limits
    • Problem 8.2. Additional mass – frequency of beam with hinged ends
    • Problem 8.3. Additional mass – frequency of beam with built-in ends
    • Problem 8.4. Frequency of a beam supported by springs
    • Problem 8.5. Eigenfrequency of a water tower
    • Problem 8.6. Eigenfrequency of a rotationally supported rigid bar
    • Problem 8.7. Modal analysis
  • 9
    • Problem 9.1. Moments of multispan beam
    • Problem 9.2. Force method
    • Problem 9.3. Plastic failure load – concentrated load
    • Problem 9.4. Plastic failure load – distributed load
    • Problem 9.5. Failure load of a frame
    • Problem 9.6. Mechanism by introducing plastic hinges
  • 10
    • Problem 10.1. Deflection of a one-way plate
    • Problem 10.2. Deflection of an orthotropic plate
    • Problem 10.3. Navier solution
    • Problem 10.4. Strip method
    • Problem 10.5. Local buckling of an I beam
    • Problem 10.6. Local buckling with elastically restrained edge
    • Problem 10.7. Local buckling of a box beam
    • Problem 10.8.Natural frequency of a hinged plate
    • Problem 10.9. Vibration of a timber plate
    • Problem 10.10. Vibration of a RC slab
    • Problem 10.11. Vibration of steel-concrete composite floor – neglecting beam’s weight
    • Problem 10.12. Vibration of a steel-concrete composite floor -including beam’s weight
    • Problem 10.13. Dynamic factor and dynamic load
    • Problem 10.14. Ponding
    • Problem 10.15. Elastic foundation -water tank
    • Problem 10.16. Elastic foundation -water tank during construction
    • Problem 10.17. Circular plate subjected to concentrated load (elastically supported and simply supported)
    • Problem 10.18. Circular plate subjected to concentrated load (elastically supported and built-in)
  • 11
    • Problem 11.1. Air supported tent
    • Problem 11.2. Spherical dome
    • Problem 11.3. Skylight on spherical dome
    • Problem 11.4. Paraboloid of revolution
    • Problem 11.5. Truncated cone
    • Problem 11.6. Parabolic barrel vault subjected to snow load
    • Problem 11.7. Parabolic barrel vault subjected to self-weigth
    • Problem 11.8. Elliptic paraboloid roof with two perfect supports
    • Problem 11.9. Elliptic paraboloid roof with four perfect supports
    • Problem 11.10. Assembled hyperbolic paraboloid roof
    • Problem 11.11. Cylindrical shell
    • Problem 11.12. Edge disturbance of a spherical dome
    • Problem 11.13. Spherical dome with not adequate membrane support
    • Problem 11.14. Edge disturbance of a spherical dome with skylight
    • Problem 11.15. Skylight on spherical dome with not adequate membrane support
    • Problem 11.16. Edge disturbance of barrel vault
    • Problem 11.17. Truncated cone with not adequate membrane support
    • Problem 11.18. Truncated cone without upper ring

Section 8. Basics of vibration

8.1. Vibration and deflection limits
8.2. Additional mass – frequency of beam with hinged edges
8.3. Additional mass – frequency of beam with built-in ends
8.4. Frequency of beam supported by springs
8.5. Eigenfrequency of a water tower
8.6. Eigenfrequency of a rotationally supported rigid bar
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