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BASE PLATE/BOLT CHECK - USER'S GUIDE - rev1As part of standard pipe support allowable load calculations, support base

or end plate as well as anchor bolts, should be designed so as to resist tension, shear, and bending experienced by the support itself. This program is created to check adequacy of a given base plate details based on the calculated reactions to the base or end plate. (Note: Input required on all green boxes)

1. PARAMETERS:

1. Select Anchor Bolt2. Input base plate dimension B3. Input base plate dimension D4. Input base plate dimension C5. Input base plate thickness6. Input no. of bolts at tension side7. Input bolt hole diameter8. Select Member Size (Structural Steel Shapes)9. Input base plate loads (reactions)10. Input allowable stresses for plate and bolting materials

Ft=Allowable stress in tension for anchor boltFv=allowable stress in shear for anchor boltf'c=allowable compressive stress of concrete (default is 20.8 Mpa)Fb=allowable bending stress of plate (Fb=Fy/1.5 where Fy=Yield Stress)

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23456

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11. Obtain value of Xn/d from the graph below. Use values of x/d and P to obtainthis value.

Stress calculations are done automatically. For Bending Stress check ofthe base plate, whenever allowable bending stress is not satisfied, program calculates"recommended thicknesss" of the plate.

Rev Date

0 20-Jan-06

1 01-Feb-06

11

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As part of standard pipe support allowable load calculations, support baseor end plate as well as anchor bolts, should be designed so as to resist tension, shear, and bending experienced by the support itself. This program is created to check adequacy of a given base plate details based on the calculated reactions to the base or end

Fb=allowable bending stress of plate (Fb=Fy/1.5 where Fy=Yield Stress)

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11. Obtain value of Xn/d from the graph below. Use values of x/d and P to obtain

Stress calculations are done automatically. For Bending Stress check ofthe base plate, whenever allowable bending stress is not satisfied, program calculates

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BASE PLATE CALCULATION PROCEDURE

Parameters:

B, D: base plate dimensionsC: center to center distance between

outer bolt holest: base plate thicknessNb: no. of holes at tension sidedo: effective outside diameter of anchor

boltsAb: area of boltdt: distance of outer bolt hole to the

edge of the plated: effective depth of the plateu: distance from the flange face of

the column to the edge of the plateg: distance from the flange face of

the column to the outer bolt holeR: bolt hole diameter

Allowable Stress:

Ft = 120 Mpa (Allowable tension stress of anchor bolt)Fv = 70 Mpa (Allowable Shear Stress of Anchor bolt)Fy = 235 Mpa (Yield Strength of JIS SS 400)

Effective Anchor Bolt Diameter (db):Anchor db

Bolt (mm)M16 14.701M20 18.376M22 20.376M24 22.051M27 25.051

Anchor SizeBolt (in) Tension ShearM16 5/8 26.7 41.2M20 3/4 38.9 60M22 7/8 43 79.8M24 1 39.7 117.5M27 1 1/4 95.5 181.6

steel power stud which should be reduced by a minimum safety factor of 4 to determine the allowable

working load.

Fb = 157 Mpa (Allowable bending stress of the plate, Fb = Fy/1.5)

Strength of Expansion Anchor Bolt(1):

Allow Load (KN) (2)

1The values listed above are ultimate load capacities in kiloNewtons for carbon steel and stainless

2Strength of concrete is f'c = 2000psi

u

g

R

NQ

dt

C

B=D

Mx

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Design Procedure

Calculate e (load eccentricity):e = Mx/N

If e > D/6 + dt/3, tension governs on base plateCalculate x/d ratio:x/d = (e - 0.5D)/(D-dt)

Calculate P:P = (Ab x Nb)/(BXd)

Given the values of x/d and P, obtain value of Xn/d from the graph below:

Calculate Xn:Xn = (Xn/d) x d

Anchor Bolt Check: When Expansion Anchor Bolt is required:

1. Check at tension:

ft = T/Ab Note: Refer to allowable loads of ExpansionT = Z/Nb Anchor Bolts above.Z = N*(e-0.5D+xn/3) / (D-dt-xn/3)

2. Check at Shear:fv ≤ Fv, Fv = 70 Mpafv = Q/Ab

3. Check at Combined Tension and Shear:1.4fto - 1.6fv = fts; fts ≤ fto

therefore, fts = 1.4Ft - 1.6fv ≤ Ft

1. Check at tension, T ≤ Tallowft ≤ Ft, Ft = 120 Mpa 2. Check at shear, Q ≤ Qallow

note: fto = Ft

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Base Plate Check:

Check Compressive Strength:

Check Bending Stress:

Check Bending Stress due to Anchor Bolt Tensile Force

M = T x g

σc ≤ f'c, f'c = 20.8 Mpa (to be decided by Civil)σc=２*N*(e+0.5D-dt) / {D*xn*(D-dt-xn/3)}

fb ≤ Fb, Fb = 157 Mpa

fb = 3σc(u/t)2[1-(u/3Xn)] ; if fb > Fb, calculate required thickness, treq

treq = u * { 3*σc / fb’ * (1 – u/(3xn))}0.5

fb ≤ Fb, Fb = 157 Mpafb＝Ｍ／Ｚ

Z=1/6x(R + 2g) x t2

u

g

σc

Xn

g

R+2g

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Rev Date

0 20-Jan-06

1 01-Feb-06

9

t

dB

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When Expansion Anchor Bolt is required:

Note: Refer to allowable loads of Expansion

BASE PLATE / BOLT CHECK INPUT REQUIRED ON ALL "GREEN" BOX.

M16 ANCHOR BOLT MEMBER: A6 5/8 ANCHOR BOLT SIZE (in) Ft= 120 Mpa allowable stress for tension on bolt

Fv= 70 Mpa allowable stress for shear on bolt1. PARAMETERS: f'c= 20.8 Mpa allowable compressive stress of concrete at 28 days

B= 260 mm Fb= 157 Mpa allowable bending stress on plateD= 260 mmC= 180 mmt= 12 mm Check tension at bolt: 0.474

Nb= 2 pcs Check shear at bolt: 0.045do= 14.701 mm Check tension at expansion bolt: 1.121

Ab= 169.74 Check shear at expansion bolt: 0.052dt= 40 mm Check compressive strength of concrete: 0.094d= 220 mm Check Bending Stress: 1.419u= 97.5 mm ｱﾝｶｰﾎﾞﾙﾄの引張力による底板曲げ応力 0.852G= 57.5 mmR= 19 mm

BASE PLATE LOADING:N= 4,513 NQ= 2,158 N

Mx= 3,379,355 N.mm

eccentricity e=Mx/N= 748.805 mm if e>(D/6)+(dt/3), base plate is under tension.(D/6)+(dt/3)= 56.6666667 (plate is under tension)

Calculation for Xn:x = e-0.5D = 618.805 mmx/d = 2.8P=(Ab x Nb)/(B x d)= 0.006Xn/d = 0.350 , therefore Xn = 77.0

2. BOLT/EXPANSION BOLT CHECKCheck tension at bolt: Judge

44.1 Mpa ≦ 92.9 Mpa OKT = Z/Nb = 7483.27273 NZ = N*(e-0.5D+xn/3) / (D-dt-xn/3) = 14,966.5 N

Check shear at bolt:3.2 Mpa ≦ 70 Mpa OK

Combined Stresses (Tension and Shear):92.9 Mpa ≦ 120 Mpa OK

fts ≦ ftofto = Ft

Check tension at expansion bolt (if required):M16 T= 7,483.3 N ≦ 6,675.0 N NG

Check shear at expansion bolt (if required):M16 Q= 539.5 N ≦ 10,300.0 N OK

3. BASE PLATE CHECKCheck compressive strength of concrete:

σc= 1.95 Mpa ≦ 20.8 Mpa OK

Check Bending Stress:

fb= 222.7 Mpa ≦ 157 Mpa NGrequired t: 24.7 mm

Check Bending Stress due to anchor bolt tensile force:133.8 Mpa ≦ 157 Mpa OK

M = T x G = 430,288.2 N.mm

3,216.0

mm2

ft＝Ｔ／Ａb＝

fv= Q / Ab =

fts = 1.4fto - 1.6t =

σc = ２*N*(e+0.5D-dt) / {D*xn*(D-dt-xn/3)}

fb = 3σc(u/t)2[1-(u/3Xn)]

fb＝Ｍ／Ｚ＝

Z=1/6x(R + 2G)xt2= mm3

D□

C□

t

dt

N

Ｍ x

ZQ

u

G

R

Bd

obtain value of Xn/d ratio from Graph.

allowable stress for tension on boltallowable stress for shear on boltallowable compressive stress of concrete at 28 daysallowable bending stress on plate

OKOKNGOKOKNGOK

BASE PLATE / BOLT CHECK INPUT REQUIRED ON ALL "GREEN" BOX.

M22 ANCHOR BOLT MEMBER: 16 7/8 ANCHOR BOLT SIZE (in) σt= 120 Mpa allowable stress for tension on bolt

fv= 70 Mpa allowable stress for shear on bolt1. PARAMETERS: f'c= 20.8 Mpa allowable compressive stress of concrete at 28 days

B= 500 mm fb= 157 Mpa allowable bending stress on plateD= 500 mmC= 440 mmt= 19 mm Check tension at bolt: 0.998

Nb= 2 pcs Check shear at bolt: 0.135do= 20.376 mm Check tension at expansion bolt: 2.508

Ab= 326.08 Check shear at expansion bolt: 0.155dt= 30 mm Check compressive strength of concrete: 0.122d= 470 mm Check Bending Stress: 0.263u= 46.8 mm ｱﾝｶｰﾎﾞﾙﾄの引張力による底板曲げ応力 0.804G= 16.8 mmR= 26 mm

BASE PLATE LOADING:N= 41,150 NQ= 12,345 N

Mx= 30,862,500 N.mm

eccentricity e=Mx/N= 750.000 mm if e>(D/6)+(dt/3), base plate is under tension.(D/6)+(dt/3)= 93.3333333 (plate is under tension)

Calculation for Xn:x = e-0.5D = 500.000 mmx/d = 1.1P=(Ab x Nb)/(B x d)= 0.003Xn/d = 0.320 , therefore Xn = 150.4

2. BOLT/EXPANSION BOLT CHECKCheck tension at bolt: Judge

82.7 Mpa ≦ 82.9 Mpa OKT = Z/Nb = 26958.5424 NZ = N*(e-0.5D+xn/3) / (D-dt-xn/3) = 53,917.1 N

Check shear at bolt:9.5 Mpa ≦ 70 Mpa OK

Combined Stresses (Tension and Shear):82.9 Mpa ≦ 120 Mpa OK

fts ≦ ftofto = Ft

Check tension at expansion bolt (if required):M22 T= 26,958.5 N ≦ 10,750.0 N NG

Check shear at expansion bolt (if required):M22 Q= 3,086.3 N ≦ 19,950.0 N OK

3. BASE PLATE CHECKCheck compressive strength of concrete:

σc= 2.53 Mpa ≦ 20.8 Mpa OK

Check Bending Stress:

fb= 41.2 Mpa ≦ 157 Mpa OK

Check Bending Stress due to anchor bolt tensile force:126.3 Mpa ≦ 157 Mpa OK

M = T x G = 452,903.5 N.mm

3,585.9

mm2

ft＝Ｔ／Ａb＝

fv= Q / Ab =

fts = 1.4fto - 1.6t =

σc = ２*N*(e+0.5D-dt) / {D*xn*(D-dt-xn/3)}

fb = 3σc(u/t)2[1-(u/3Xn)]

fb＝Ｍ／Ｚ＝

Z=1/6x(R + 2G)xt2= mm3

D□

C□

t

dt

N

Ｍ x

ZQ

u

G

R

Bd

obtain value of Xn/d ratio from Graph.

allowable stress for tension on boltallowable stress for shear on boltallowable compressive stress of concrete at 28 daysallowable bending stress on plate

OKOKNGOKOKOKOK