HomeMy WebLinkAboutCA_Structrural_Calculation)241204_V1
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
1
Calc. by
GL
Date
10/29/2024
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Date
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STRUCTURAL CALCULATIONS
FOR
THE
Bo De Temple
Located at
11410 SE Petrovitsky Rd
Renton, WA 98055
GLAr
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
2
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Design Criteria_Roof Assembly ............................................................................................................................................................. 3
Dead load construction ...................................................................................................................................................................... 3
Roof Assembly ............................................................................................................................................................................... 3
Design Criteria_Floor Assembly ............................................................................................................................................................ 3
Dead load construction ...................................................................................................................................................................... 3
Floor Assembly............................................................................................................................................................................... 3
B1 .......................................................................................................................................................................................................... 4
Structural glued laminated timber (Glulam) member analysis & Design (NDS) ................................................................................. 4
B2 .......................................................................................................................................................................................................... 7
Structural glued laminated timber (Glulam) member analysis & Design (NDS) ................................................................................. 7
B3 .......................................................................................................................................................... Error! Bookmark not defined.
Structural wood member analysis & Design (NDS)............................................................................ Error! Bookmark not defined.
B4 .......................................................................................................................................................... Error! Bookmark not defined.
Structural glued laminated timber (Glulam) member analysis & Design (NDS) ................................. Error! Bookmark not defined.
B5 .......................................................................................................................................................... Error! Bookmark not defined.
Structural composite lumber member analysis & Design (NDS) ........................................................ Error! Bookmark not defined.
B6 ........................................................................................................................................................................................................ 11
Structural wood member analysis & Design (NDS).......................................................................................................................... 11
B7 ........................................................................................................................................................................................................ 14
Structural wood member analysis & Design (NDS).......................................................................................................................... 14
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
3
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
DESIGN CRITERIA_ROOF ASSEMBLY
DEAD LOAD CONSTRUCTION
Roof Assembly
Material Thickness Weight
(in) (lb/ft3) (lb/ft2)
Roof Tiles; 1.000; 145; 12.1
1/2" Plywood or OSB; 0.500; 45; 1.9
Insulation; 12.000; 1; 1.0
2x Rafters; 1.000; 35; 2.9
Beams; 0.500; 35; 1.5
Gypsum Board; 0.625; 60; 3.1
Miscellaneous; 1.000; ; 1.8
Totals; 24.3 USE 25
PSF
;Live Load: 25 psf snow
DESIGN CRITERIA_FLOOR ASSEMBLY
DEAD LOAD CONSTRUCTION
Floor Assembly
Material Thickness Weight
(in) (lb/ft3) (lb/ft2)
Flooring; 0.125; 95; 1.0
3/4" Plywood or OSB; 0.750; 45; 2.8
2x Joists; 0.625; 35; 1.8
Beams; 0.600; 35; 1.7
Gypsum Board; 0.625; 60; 3.1
Miscellaneous; 1.000; ; 1.5
Totals; 12.0
;Live Load: 40 psf
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
4
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
B1
STRUCTURAL GLUED LAMINATED TIMBER (GLULAM) MEMBER ANALYSIS & DESIGN (NDS)
In accordance with the ANSI/AF&PA NDS-2015 using the ASD method
Tedds calculation version 1.7.10
B1
B2
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
5
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Applied loading
Beam loads
Dead self weight of beam 1
Dead full UDL 350 lb/ft
Snow full UDL 348 lb/ft
Load combinations
Load combination 1 Support A Dead 1.00
Live 1.00
Snow 1.00
Span 1 Dead 1.00
Live 1.00
Snow 1.00
Support B Dead 1.00
Live 1.00
Snow 1.00
Analysis results
Maximum moment; Mmax = 3719 lb_ft; Mmin = 0 lb_ft
Design moment; M = max(abs(Mmax),abs(Mmin)) = 3719 lb_ft
Maximum shear; Fmax = 2289 lb; Fmin = -2289 lb
Design shear; F = max(abs(Fmax),abs(Fmin)) = 2289 lb
Total load on member; Wtot = 4578 lb
Reaction at support A; RA_max = 2289 lb; RA_min = 2289 lb
Unfactored dead load reaction at support A; RA_Dead = 1158 lb
Unfactored snow load reaction at support A; RA_Snow = 1131 lb
Reaction at support B; RB_max = 2289 lb; RB_min = 2289 lb
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
6
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Unfactored dead load reaction at support B; RB_Dead = 1158 lb
Unfactored snow load reaction at support B; RB_Snow = 1131 lb
Glulam section details
Net finished breadth of sections; b = 3.5 in
Net finished depth of sections; d = 7.5 in
Number of sections in member; N = 1
Overall breadth of member; bb = N b = 3.5 in
Alignment of laminations; Horizontal
Stress class; 24F-V4 DF/DF
Tension parallel to grain; Ft = 1100 lb/in2
Compression parallel to grain; Fc = 1650 lb/in2
Bending about X-X axis properties (loaded perpendicular to wide faces of laminations):
Positive bending; Fbx_pos = 2400 lb/in2
Negative bending; Fbx_neg = 1850 lb/in2
Compression perpendicular to grain; Fc_perp = 650 lb/in2
Shear parallel to grain; Fv = 265 lb/in2
Modulus of elasticity; E = 1800000 lb/in2
Modulus of elasticity, stability calculations; Emin = 950000 lb/in2
Mean shear modulus; Gdef = E / 16 = 112500 lb/in2
Bending about Y-Y axis properties (loaded parallel to wide faces of laminations):
Bending; Fby = 1450 lb/in2
Modulus of elasticity; stability calculations; Eymin = 850000 lb/in2
Member details
Service condition; Dry
Length of span; Ls1 = 6.5 ft
Length of bearing; Lb = 4 in
Load duration; Two months
Section properties
Cross sectional area of member; A = N b d = 26.25 in2
Section modulus; Sx = N b d2 / 6 = 32.81 in3
Sy = d (N b)2 / 6 = 15.31 in3
Second moment of area; Ix = N b d3 / 12 = 123.05 in4
Iy = d (N b)3 / 12 = 26.80 in4
Adjustment factors
Load duration factor - Table 2.3.2; CD = 1.15
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
7
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Temperature factor - Table 2.3.3; Ct = 1.00
Flat use factor - Table 5A; Cfu = 1.10
Bearing area factor - cl.3.10.4; Cb = 1.00
Length of beam between points of zero moment; L0 = 6.5 ft
For species other than Southern Pine; x = 10
Volume factor - eq.5.3-1; CV = min((21 ft / L0)1/x (12 in / d)1/x (5.125 in / b)1/x, 1) = 1.00
Depth-to-breadth ratio; d / (N b) = 2.14
- Beam is fully restrained
Beam stability factor - cl.3.3.3; CL = 1.00
Bearing perpendicular to grain - cl.3.10.2
Design compression perpendicular to grain; Fc_perp' = Fc_perp Ct Cb = 650 lb/in2
Applied compression stress perpendicular to grain; fc_perp = RB_max / (N b Lb) = 163 lb/in2
fc_perp / Fc_perp' = 0.252
PASS - Design compressive stress exceeds applied compressive stress at bearing
Strength in bending - cl.3.3.1
Design bending stress; Fb' = Fbx_pos CD Ct min(CL, CV) Cc = 2760 lb/in2
Actual bending stress; fb = Mmax / Sx = 1360 lb/in2
fb / Fb' = 0.493
PASS - Design bending stress exceeds actual bending stress
Strength in shear parallel to grain - cl.3.4.1
Design shear stress; Fv' = Fv CD Ct = 305 lb/in2
Actual shear stress - eq.3.4-2; fv = 3 F / (2 A) = 131 lb/in2
fv / Fv' = 0.429
PASS - Design shear stress exceeds actual shear stress
Deflection - cl.3.5.1
Modulus of elasticity for deflection; E' = Ex CME Ct = 1800000 lb/in2
Design deflection; adm = 0.003 Ls1 = 0.234 in
Total deflection; b_s1 = 0.128 in
b_s1 / adm = 0.546
PASS - Total deflection is less than design deflection
;
B2
STRUCTURAL GLUED LAMINATED TIMBER (GLULAM) MEMBER ANALYSIS & DESIGN (NDS)
In accordance with the ANSI/AF&PA NDS-2018 using the ASD method
Tedds calculation version 1.7.10
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
8
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Applied loading
Beam loads
Dead self weight of beam 1
Dead full UDL 162 lb/ft
Live full UDL 1350 lb/ft
Load combinations
Load combination 1 Support A Dead 1.00
Live 1.00
Snow 1.00
Span 1 Dead 1.00
Live 1.00
Snow 1.00
Support B Dead 1.00
Live 1.00
Snow 1.00
Analysis results
Maximum moment; Mmax = 33998 lb_ft; Mmin = 0 lb_ft
Design moment; M = max(abs(Mmax),abs(Mmin)) = 33998 lb_ft
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
9
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Maximum shear; Fmax = 10202 lb; Fmin = -10202 lb
Design shear; F = max(abs(Fmax),abs(Fmin)) = 10202 lb
Total load on member; Wtot = 20404 lb
Reaction at support A; RA_max = 10202 lb; RA_min = 10202 lb
Unfactored dead load reaction at support A; RA_Dead = 1204 lb
Unfactored live load reaction at support A; RA_Live = 8998 lb
Reaction at support B; RB_max = 10202 lb; RB_min = 10202 lb
Unfactored dead load reaction at support B; RB_Dead = 1204 lb
Unfactored live load reaction at support B; RB_Live = 8998 lb
Glulam section details
Net finished breadth of sections; b = 5.125 in
Net finished depth of sections; d = 15 in
Number of sections in member; N = 1
Overall breadth of member; bb = N b = 5.125 in
Alignment of laminations; Horizontal
Stress class; 24F-V4 DF/DF
Tension parallel to grain; Ft = 1100 lb/in2
Compression parallel to grain; Fc = 1650 lb/in2
Bending about X-X axis properties (loaded perpendicular to wide faces of laminations):
Positive bending; Fbx_pos = 2400 lb/in2
Negative bending; Fbx_neg = 1850 lb/in2
Compression perpendicular to grain; Fc_perp = 650 lb/in2
Shear parallel to grain; Fv = 265 lb/in2
Modulus of elasticity; E = 1800000 lb/in2
Modulus of elasticity, stability calculations; Emin = 950000 lb/in2
Mean shear modulus; Gdef = E / 16 = 112500 lb/in2
Bending about Y-Y axis properties (loaded parallel to wide faces of laminations):
Bending; Fby = 1450 lb/in2
Modulus of elasticity; stability calculations; Eymin = 850000 lb/in2
Member details
Service condition; Dry
Length of span; Ls1 = 13.33 ft
Length of bearing; Lb = 4 in
Load duration; Ten years
Section properties
Cross sectional area of member; A = N b d = 76.87 in2
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
10
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Section modulus; Sx = N b d2 / 6 = 192.19 in3
Sy = d (N b)2 / 6 = 65.66 in3
Second moment of area; Ix = N b d3 / 12 = 1441.41 in4
Iy = d (N b)3 / 12 = 168.26 in4
Adjustment factors
Load duration factor - Table 2.3.2; CD = 1.00
Temperature factor - Table 2.3.3; Ct = 1.00
Flat use factor - Table 5A; Cfu = 1.10
Bearing area factor - cl.3.10.4; Cb = 1.00
Length of beam between points of zero moment; L0 = 13.5 ft
For species other than Southern Pine; x = 10
Volume factor - eq.5.3-1; CV = min((21 ft / L0)1/x (12 in / d)1/x (5.125 in / b)1/x, 1) = 1.00
Depth-to-breadth ratio; d / (N b) = 2.93
- Beam is fully restrained
Beam stability factor - cl.3.3.3; CL = 1.00
Bearing perpendicular to grain - cl.3.10.2
Design compression perpendicular to grain; Fc_perp' = Fc_perp Ct Cb = 650 lb/in2
Applied compression stress perpendicular to grain; fc_perp = RA_max / (N b Lb) = 498 lb/in2
fc_perp / Fc_perp' = 0.766
PASS - Design compressive stress exceeds applied compressive stress at bearing
Strength in bending - cl.3.3.1
Design bending stress; Fb' = Fbx_pos CD Ct min(CL, CV) Cc = 2400 lb/in2
Actual bending stress; fb = Mmax / Sx = 2123 lb/in2
fb / Fb' = 0.885
PASS - Design bending stress exceeds actual bending stress
Strength in shear parallel to grain - cl.3.4.1
Design shear stress; Fv' = Fv CD Ct = 265 lb/in2
Actual shear stress - eq.3.4-2; fv = 3 F / (2 A) = 199 lb/in2
fv / Fv' = 0.751
PASS - Design shear stress exceeds actual shear stress
Deflection - cl.3.5.1
Modulus of elasticity for deflection; E' = Ex CME Ct = 1800000 lb/in2
Design deflection; adm = 0.0042 Ls1 = 0.672 in
Total deflection; b_s1 = 0.419 in
b_s1 / adm = 0.624
PASS - Total deflection is less than design deflection
;
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
11
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
B3
STRUCTURAL WOOD MEMBER ANALYSIS & DESIGN (NDS)
In accordance with the ANSI/AF&PA NDS-2018 using the ASD method
Tedds calculation version 1.7.10
B3
B4
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
12
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Applied loading
Beam loads
Dead self weight of beam 1
Dead full UDL 38 lb/ft
Live full UDL 230 lb/ft
Load combinations
Load combination 1 Support A Dead 1.00
Live 1.00
Snow 1.00
Span 1 Dead 1.00
Live 1.00
Snow 1.00
Support B Dead 1.00
Live 1.00
Snow 1.00
Analysis results
Maximum moment; Mmax = 3555 lb_ft; Mmin = 0 lb_ft
Design moment; M = max(abs(Mmax),abs(Mmin)) = 3555 lb_ft
Maximum shear; Fmax = 1422 lb; Fmin = -1422 lb
Design shear; F = max(abs(Fmax),abs(Fmin)) = 1422 lb
Total load on member; Wtot = 2844 lb
Reaction at support A; RA_max = 1422 lb; RA_min = 1422 lb
Unfactored dead load reaction at support A; RA_Dead = 273 lb
Unfactored live load reaction at support A; RA_Live = 1149 lb
Reaction at support B; RB_max = 1422 lb; RB_min = 1422 lb
Unfactored dead load reaction at support B; RB_Dead = 273 lb
Unfactored live load reaction at support B; RB_Live = 1149 lb
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
13
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Sawn lumber section details
Nominal breadth of sections; bnom = 6 in
Dressed breadth of sections; b = 5.5 in
Nominal depth of sections; dnom = 10 in
Dressed depth of sections; d = 9.5 in
Number of sections in member; N = 1
Overall breadth of member; bb = N b = 5.5 in
Species, grade and size classification; Douglas Fir-Larch, No.2 grade, Beams and stringers
Bending parallel to grain; Fb = 875 lb/in2
Tension parallel to grain; Ft = 425 lb/in2
Compression parallel to grain; Fc = 600 lb/in2
Compression perpendicular to grain; Fc_perp = 625 lb/in2
Shear parallel to grain; Fv = 170 lb/in2
Modulus of elasticity; E = 1300000 lb/in2
Modulus of elasticity, stability calculations; Emin = 470000 lb/in2
Mean shear modulus; Gdef = E / 16 = 81250 lb/in2
Member details
Service condition; Dry
Length of span; Ls1 = 10 ft
Length of bearing; Lb = 4 in
Load duration; Ten years
Section properties
Cross sectional area of member; A = N b d = 52.25 in2
Section modulus; Sx = N b d2 / 6 = 82.73 in3
Sy = d (N b)2 / 6 = 47.90 in3
Second moment of area; Ix = N b d3 / 12 = 392.96 in4
Iy = d (N b)3 / 12 = 131.71 in4
Adjustment factors
Load duration factor - Table 2.3.2; CD = 1.00
Temperature factor - Table 2.3.3; Ct = 1.00
Size factor for bending - Table 4D; CFb = 1.00
Size factor for tension - Table 4D; CFt = 1.00
Size factor for compression - Table 4D; CFc = 1.00
Flat use factor - Table 4D; Cfu = 1.00
Incising factor for modulus of elasticity - Table 4.3.8
CiE = 0.95
Incising factor for bending, shear, tension & compression - Table 4.3.8
Ci = 0.80
Incising factor for perpendicular compression - Table 4.3.8
Cic_perp = 1.00
Repetitive member factor - cl.4.3.9; Cr = 1.00
Bearing area factor - cl.3.10.4; Cb = 1.00
Depth-to-breadth ratio; dnom / (N bnom) = 1.67
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
14
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
- Beam is fully restrained
Beam stability factor - cl.3.3.3; CL = 1.00
Bearing perpendicular to grain - cl.3.10.2
Design compression perpendicular to grain; Fc_perp' = Fc_perp Ct Cic_perp Cb = 625 lb/in2
Applied compression stress perpendicular to grain; fc_perp = RA_max / (N b Lb) = 65 lb/in2
fc_perp / Fc_perp' = 0.103
PASS - Design compressive stress exceeds applied compressive stress at bearing
Strength in bending - cl.3.3.1
Design bending stress; Fb' = Fb CD Ct CL CFb Ci Cr = 700 lb/in2
Actual bending stress; fb = M / Sx = 516 lb/in2
fb / Fb' = 0.737
PASS - Design bending stress exceeds actual bending stress
Strength in shear parallel to grain - cl.3.4.1
Design shear stress; Fv' = Fv CD Ct Ci = 136 lb/in2
Actual shear stress - eq.3.4-2; fv = 3 F / (2 A) = 41 lb/in2
fv / Fv' = 0.300
PASS - Design shear stress exceeds actual shear stress
Deflection - cl.3.5.1
Modulus of elasticity for deflection; E' = E CME Ct CiE = 1235000 lb/in2
Design deflection; adm = 0.0042 Ls1 = 0.504 in
Total deflection; b_s1 = 0.132 in
b_s1 / adm = 0.262
PASS - Total deflection is less than design deflection
;
B4
STRUCTURAL WOOD MEMBER ANALYSIS & DESIGN (NDS)
In accordance with the ANSI/AF&PA NDS-2018 using the ASD method
Tedds calculation version 1.7.10
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
15
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Applied loading
Beam loads
Dead self weight of beam 1
Dead full UDL 13 lb/ft
Live full UDL 80 lb/ft
Load combinations
Load combination 1 Support A Dead 1.00
Live 1.00
Snow 1.00
Span 1 Dead 1.00
Live 1.00
Snow 1.00
Support B Dead 1.00
Live 1.00
Snow 1.00
Analysis results
Maximum moment; Mmax = 708 lb_ft; Mmin = 0 lb_ft
Design moment; M = max(abs(Mmax),abs(Mmin)) = 708 lb_ft
Maximum shear; Fmax = 370 lb; Fmin = -370 lb
Design shear; F = max(abs(Fmax),abs(Fmin)) = 370 lb
Total load on member; Wtot = 739 lb
Reaction at support A; RA_max = 370 lb; RA_min = 370 lb
Unfactored dead load reaction at support A; RA_Dead = 64 lb
Unfactored live load reaction at support A; RA_Live = 306 lb
Reaction at support B; RB_max = 370 lb; RB_min = 370 lb
Unfactored dead load reaction at support B; RB_Dead = 64 lb
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
16
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Unfactored live load reaction at support B; RB_Live = 306 lb
Sawn lumber section details
Nominal breadth of sections; bnom = 2 in
Dressed breadth of sections; b = 1.5 in
Nominal depth of sections; dnom = 8 in
Dressed depth of sections; d = 7.25 in
Number of sections in member; N = 1
Overall breadth of member; bb = N b = 1.5 in
Species, grade and size classification; Hem-Fir, No.2 grade, 2'' & wider
Bending parallel to grain; Fb = 850 lb/in2
Tension parallel to grain; Ft = 525 lb/in2
Compression parallel to grain; Fc = 1300 lb/in2
Compression perpendicular to grain; Fc_perp = 405 lb/in2
Shear parallel to grain; Fv = 150 lb/in2
Modulus of elasticity; E = 1300000 lb/in2
Modulus of elasticity, stability calculations; Emin = 470000 lb/in2
Mean shear modulus; Gdef = E / 16 = 81250 lb/in2
Member details
Service condition; Dry
Length of span; Ls1 = 7.66 ft
Length of bearing; Lb = 4 in
Load duration; Ten years
The beam is one of three or more repetitive members
Section properties
Cross sectional area of member; A = N b d = 10.87 in2
Section modulus; Sx = N b d2 / 6 = 13.14 in3
Sy = d (N b)2 / 6 = 2.72 in3
Second moment of area; Ix = N b d3 / 12 = 47.63 in4
Iy = d (N b)3 / 12 = 2.04 in4
Adjustment factors
Load duration factor - Table 2.3.2; CD = 1.00
Temperature factor - Table 2.3.3; Ct = 1.00
Size factor for bending - Table 4A; CFb = 1.20
Size factor for tension - Table 4A; CFt = 1.20
Size factor for compression - Table 4A; CFc = 1.05
Flat use factor - Table 4A; Cfu = 1.15
GL Architectural Engr
PO Box 1040, Tacoma, WA 98401-1040
Email: akegl2002@gmail.com
Ph: (360)747-7509
Project
Bo De Temple Remodel
Job Ref.
240412
Section
Sheet no./rev.
17
Calc. by
GL
Date
10/29/2024
Chk'd by
Date
App'd by
Date
Incising factor for modulus of elasticity - Table 4.3.8
CiE = 0.95
Incising factor for bending, shear, tension & compression - Table 4.3.8
Ci = 0.80
Incising factor for perpendicular compression - Table 4.3.8
Cic_perp = 1.00
Repetitive member factor - cl.4.3.9; Cr = 1.15
Bearing area factor - cl.3.10.4; Cb = 1.00
Depth-to-breadth ratio; dnom / (N bnom) = 4.00
- Beam is fully restrained
Beam stability factor - cl.3.3.3; CL = 1.00
Bearing perpendicular to grain - cl.3.10.2
Design compression perpendicular to grain; Fc_perp' = Fc_perp Ct Cic_perp Cb = 405 lb/in2
Applied compression stress perpendicular to grain; fc_perp = RB_max / (N b Lb) = 62 lb/in2
fc_perp / Fc_perp' = 0.152
PASS - Design compressive stress exceeds applied compressive stress at bearing
Strength in bending - cl.3.3.1
Design bending stress; Fb' = Fb CD Ct CL CFb Ci Cr = 938 lb/in2
Actual bending stress; fb = M / Sx = 646 lb/in2
fb / Fb' = 0.689
PASS - Design bending stress exceeds actual bending stress
Strength in shear parallel to grain - cl.3.4.1
Design shear stress; Fv' = Fv CD Ct Ci = 120 lb/in2
Actual shear stress - eq.3.4-2; fv = 3 F / (2 A) = 51 lb/in2
fv / Fv' = 0.425
PASS - Design shear stress exceeds actual shear stress
Deflection - cl.3.5.1
Modulus of elasticity for deflection; E' = E CME Ct CiE = 1235000 lb/in2
Design deflection; adm = 0.0042 Ls1 = 0.386 in
Total deflection; b_s1 = 0.127 in
b_s1 / adm = 0.329
PASS - Total deflection is less than design deflection
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