SS 6 (formulas)

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  1. max deflection
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  2. solving for x and y
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    Image Upload  (A)
  3. max average unit shear stress in a steel beam
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    Image Uploadmax average  unit shear stress in a beam

    Image Upload max shear force (equal to largest support reaction)

    • Image Upload area of web = Image Upload 
    • d=beam depth
    • Image Upload=web thickness
  4. ultimate uniform load
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    • Image Upload=ultimate uniform load
    • Image Upload=dead load
    • Image Upload=live load
  5. load supported by each pile
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  6. required frictional area
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    • Image Upload
    • C=circumference=Image Upload
    • d=required pile depth
  7. Finding required weld size using E70 electrodes
    (Step 1)per AISC, largest size for fillet is 1/16" less than thickness of material

    • (1a) Image Upload
    • x=thickness of material

    • (1b) Image Upload
    • A=throat area

    • (Step 2) for E70=allowable shear stress=21ksi
    • p=FA
    • F=allowable shear stress
    • A=throat area
    • (Step 3) 

    •  Image Upload
    • L=total length of weld
    • P=total force acting on connection
    • p=allowable load per inch of weld length
    • (Step 4) length of weld on each side of plate is total required lengh (L) divided by 2
    • *NOTE: AISC requires a weld length of at least equal to perpendicular distance between welds
  8. Period of vibration (T)
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    • T=period of vibration
    • Image Upload=coefficient of upper limit (given on a chart)
    • Image Upload=approxiamate period of vibration

    • Image Upload
    • Image Upload=approximate period of vibration
    • Image Upload, x=approximate period parameters per table
  9. Image Upload
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  10. Image Upload
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  11. base shear (V)
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    • Image Upload=seismic response coefficient
    • W=seismic weight of bldg
  12. section modulus
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    • I=moment of inertia
    • C=distance from cross section's neutral axis to its extreme fibers
  13. thermal stress
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    • S=thermal stress
    • E=modulus of elasticity
    • Image Upload=coefficient of thermal linear expansion
    • Image Upload=change of temperature
  14. modified or adjusted allowable bending stress (Image Upload)
    • Image Upload
    • Image Upload=modified or adjusted allowable bending stress
    • Image Upload=wet service factor=1 for dry conditions
    • Image Upload=temperature factor=1 for normal temperature
    • Image Upload=load duration factor=1.25 for roof live load
    • Image Upload=size factor is assumed and adjusted later
    • Image Upload=repetitive member factor=1.15 for parallel dimension lumber joists that are used and are spaced at less than 24"oc
  15. horizontal seismic force on a parapet
    Image UploadImage Upload

    ASCE 7 - table 13.5-1
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SS 6 (formulas)
2014-04-28 02:31:28
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