TABLE OF CONTENTS. 



Ultimate Deformation 528 



Work or Resilience of a Bar 528 



Stresses due to Sudden Loads 528 



Impact 5 2 9 



Stresses in Beams 529 



Neutral Surface 529 



Neutral Axis 529 



Reactions 529 



Vertical Shear 529 



Bending Moment 5 2 9 



Relations between Shear and Bending 



Moment 529 



Formulas for Flexure 529 



Resisting Shear 529 



Resisting Moment 530 



Moment of Inertia 53 



Section Modulus 530 



Deflection of Beams 530 



Simple and Combined Stress S3 1 



Elastic Deformation. . 532 



Stresses in Riveted Joints. 532 



Stresses in Thin Pipes 532 



Stresses in Beams 533 



Stresses in Columns 533 



Torsion of Shafts 533 



Stresses in Hooks 533 



Stresses in Plate Girders 534 



Eccentric Stress 534 



Flexure and Direct Stress 534 



True Stress 534 



Stresses in Thick Pipes 534 



Stresses in Rollers 534 



Stresses in Flat Plates 535 



Work or Resilience 535 



Centroid or Center of Gravity 535 



Moment of Inertia 535 



Product of Inertia 535 



Cantilever Beams, Stresses and Deflections 



Load at Free End 536 



Uniform Load 536 



Load at any Point 536 



Variable Load 536 



Simple Beams, Stresses and Deflections . . 537 



Load at Center . 537 



Load at any Point 537 



Two Equal Symmetrical Loads 537 



Uniform Load ! 538 



Triangular Load 538 



Triangular Load, Maximum at Center . 538 



Triangular Load, Maximum at End 538 



Trapezoidal Load 538 



Overhanging Beam, Stresses and Deflec- 

 tions 539 



Uniform Load, Overhanging one Sup- 

 port 539 



Load at any Point, Overhanging one 



Support 539 



Uniform Load, Overhanging both Sup- 

 ports 539 



Two Exterior Loads, Overhanging bcth 



Supports 539 



Beam Fixed at one End, Supported at 



other End, Stresses and Deflections. . 540 



Load at any Point 540 



Uniform Load 540 



Load at Center 540 



Beam Fixed at Both Ends, Stresses and 



Deflections 541 



Uniform Load 541 



Load at Center 541 



Load at any Point 541 



Moving Loads 542 



Maximum Shears 542 



Maximum Moments 542 



One Load 542 



Two Loads 542 



Three Loads 542 



Four Loads 542 



Two Unequal Loads 542 



Three Loads, Two Equal 542 



Continuous Beams, Uniform Loads 543 



Moments at Supports 544 



Shears at Supports 544 



Continuous Beams, Concentrated Loads . . 545 

 Moments and Reactions of Beams of 



Two and Three Spans 545 



Reinforced Concrete Beams, Stresses in. . 546 

 Rectangular Beams, Reinforced for 



Tension only 546 



Slabs, 12 inches wide 546 



T-Beams 546 



Rectangular Beam, Reinforced for Ten- 

 sion and Compression 546 



Shear 547 



Bond 547 



Stirrups 547 



Columns 547 



Working Stresses 547 



Safe Loads in Reinforced Concrete Slabs. 547 

 Moments of Inertia and other Properties 



of Sections 548 



Stresses in Framed Structures 552 



Loads 552 



