# SS 6 (formulas)

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 Author: sabrinarusso ID: 267490 Filename: SS 6 (formulas) Updated: 2014-04-27 22:31:28 Tags: ARE Exam Folders: Description: ARE Exams Show Answers:

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1. max deflection
2. solving for x and y
(B)

(A)
3. max average unit shear stress in a steel beam

max average  unit shear stress in a beam

max shear force (equal to largest support reaction)

•  area of web =
• d=beam depth
• =web thickness
5. load supported by each pile
6. required frictional area

• C=circumference=
• 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)
• x=thickness of material

• (1b)
• A=throat area

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

•
• 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)
• T=period of vibration
• =coefficient of upper limit (given on a chart)
• =approxiamate period of vibration

• =approximate period of vibration
• , x=approximate period parameters per table
9. base shear (V)
• =seismic response coefficient
• W=seismic weight of bldg
10. section modulus
• I=moment of inertia
• C=distance from cross section's neutral axis to its extreme fibers
11. thermal stress
• S=thermal stress
• E=modulus of elasticity
• =coefficient of thermal linear expansion
• =change of temperature
12. modified or adjusted allowable bending stress ()
• =modified or adjusted allowable bending stress
• =wet service factor=1 for dry conditions
• =temperature factor=1 for normal temperature