# STRUCTURAL ANALYSIS OF BEAMS AND SHAFTS

Structural analysis calculators have been developed for structural analysis of beams, shafts, tubes and sections for different loading conditions.

 Calculator Definition Hollow Structural Section (HSS) Design for Strength This calculator has been developed to calculate normal stress, shear stress and Von Mises stress on a given cross section of a HSS. I Beam Design for Strength This calculator has been developed to calculate normal stress, shear stress and Von Mises stress on a given cross section of a structural I Beam. Linear Thermal Expansion Calculator This calculator has been designed to calculate linear thermal expansion of an unrestrained bar when the temperature of the bar is uniformly increased or decreased. Rectangular Beam Design for Strength This calculator has been developed to calculate normal stress, shear stress and Von Mises stress on a given cross section of a rectangular solid beam. Calculator also draws graphics of the stress variations with respect to distance from the neutral axis. Stresses in Rotating Rings (Annular Disks) This calculator has been developed to calculate radial / tangential stresses (inertia stresses), the change of the inner and outer radiuses of a ring which rotates about its own axis with a uniform angular velocity. Stress Strain Calculator This calculator has been designed to calculate tensile stress (or compressive stress), normal/shear stress on any oblique section of the bar, longitudinal/lateral strain, longitudinal/lateral deflection and total strain energy. Thermal Stress in a Bar This calculator has been designed to calculate thermal stress of a restrained bar when the temperature of the bar is uniformly increased or decreased. Thermal Stress in a Unifrom Plate This calculator has been designed to calculate stress of a restrained uniform plate when the temperature of the plate is uniformly changed. Torsional Stress Calculator of Shafts This calculator has been designed to calculate shear stress, angle of twist, polar moment of inertia of a shaft under torsional loading. Calculator is only valid for solid and hollow circular shafts. SUPPLEMENTS Torsion Of Solid Shaft Example An example about the calculation of torsional stress on stepped shaft. After calculation of torsional stress, principal stresses are calculated and evaluation of yield criteria of material is done with these stresses. Timber Beam Design for Strength Example An example about the calculation of normal and shear stresses on timber beam.

### Reference:

• Oberg.E , Jones.D.J., Holbrook L.H, Ryffel H.H., (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc. , pp 236 - 261
• Young, W. C., Budynas, R. G.(2002). Roark's Formulas for Stress and Strain . 7nd Edition, McGraw-Hill, Chapter 8 , pp 125 - 267
• Beer.F.P. , Johnston.E.R. (1992). Mechanics of Materials , 2nd edition. McGraw-Hill, Chapter 4-5-7-8-9
• Budynas.R , Nisbett.K . (2014) . Shigley's Mechanical Engineering Design . 10th edition.  McGraw-Hill , , Chapter 3.17