Xbracing --- Analysis of Bents With Tension-Only X-bracing

"XBRACING" --- ANALYSIS OF BENTS WITH TENSION-ONLY X-BRACING

Program Description:

"XBRACING" is a spreadsheet program written in MS-Excel for the purpose of analyzing X-braced bents with

tension-only systems. From 1-story up to 10-story bents may be analyzed. Specifically, given the bent width,

the story heights, and the lateral story loads, all the member (segment) forces are determined, as well as the

horizontal and vertical reactions at the supports, and the individual story drifts (horizontal deflections).

This program is a workbook consisting of eleven (11) worksheets, described as follows:

Worksheet Name DescriptionDoc This documentation sheet

X(1) Analysis of 1-story bent with tension-only X-bracing

X(2) Analysis of 2-story bent with tension-only X-bracing

X(3) Analysis of 3-story bent with tension-only X-bracing

X(4) Analysis of 4-story bent with tension-only X-bracing

X(5) Analysis of 5-story bent with tension-only X-bracing

X(6) Analysis of 6-story bent with tension-only X-bracing

X(7) Analysis of 7-story bent with tension-only X-bracing

X(8) Analysis of 8-story bent with tension-only X-bracing

X(9) Analysis of 9-story bent with tension-only X-bracing

X(10) Analysis of 10-story bent with tension-only X-bracing

Program Assumptions and Limitations:

1. This program assumes that the vertical bent is fully braced, between every story, utilizing a tension-only

X-bracing system.

2. In a tension-only bracing system, one brace is assumed effective in tension while the other brace is

assumed to buckle (in compression), requiring the tension brace to take all of the load.

3. This program uses the "Method of Virtual Work" to determine the horizontal deflections at each of the story

levels. The horizontal deflection at a particular story level is determined by first applying a "dummy" unit load

at that level. Then, the member forces from the unit load are determined. With the member forces due to

the applied lateral loads already having been calculated, the horizontal deflection at that story level is:

where:

F = force in each member due to all applied lateral story loads (kips)

u = force in each member due to unit load applied at paricular story, 'n'

L = length of each member in bent (inches)

A = area of each member in bent (in.^2)

E = modulus of elasticity of members in bent, all assumed equal (ksi)

The horizontal deflections (story drifts) determined are for the joints at the left side of the bent, with all

members (segments) assumed pinned at both ends.

4. This program contains “comment boxes” which contain information including explanations of input or output

items, equations used, etc. (Note: presence of a “comment box” is denoted by a “red triangle” in the upper

right-hand corner of a cell. Merely move the mouse pointer to the desired cell to view the contents of that

particular "comment box".)

Dn = S F*u*L/(A*E)

Dn = horizontal deflection at particular story level number considered (inches)

"XBRACING.xls" ProgramVersion 1.0

2 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 1-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflection Determined by "Virtual Work Method"4.75 k 4.75 k Member

0.00

k

4.51

k

DesignationStory Height -6.55 k LC1

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. 19.00 ft. (Total Bent Height) HB1

4.75 k 9.50 k DB1

Member Force Sign Convention: W40x480

+ = Compression 20.00 ft. Drift Analysis - = Tension StoryVertical Reaction Sign Convention: Number Upward = Compression 4.51 k 4.51 k Story 1 Downward = Tension (Uplift) Bent Elevation W40x392

W40x372

W40x362

Input Data for Drift Analysis: W40x331

W40x328

Member Data Nomenclature: W40x327

Designation Length Area LC = Left Column Segment W40x324

(ft.) (in.^2) RC = Right Column Segment W40x321

Left Col. LC1 19.00 7.08 HB = Horizontal Beam W40x298

Right Col. RC1 19.00 7.08 DB = Diagonal Brace W40x297

Beam HB1 20.00 5.62 W40x278

Brace DB1 27.59 1.44 W40x277

and braces are numbered from W40x268

Mod. of Elasticity, E = 29000 ksi bottom to top, same as stories. W40x264

W40x249

Results: W40x244

W40x235

Drift Analysis W40x221

Story Total Drift Drift Ratio W40x215

Number (Total) W40x211

Story 1 0.0834 Ht / 2734 W40x199

W40x192

W40x183

W40x174

W40x167

W40x149

W36x848

W36x798

W36x720

W36x650

W36x588

P1 =

h1 = Ht =

P(bot) = = VL

D1 = S F*u1*L/(A*E) =

RL = RR =

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.)

"XBRACING.xls" ProgramVersion 1.0

3 of 29 04/08/2023 03:29:45

W36x527

"XBRACING.xls" ProgramVersion 1.0

4 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 2-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"4.50 k 4.50 k Member

0.00

k

4.05

k

DesignationStory Heights -6.05 k LC1

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. LC2RC1

9.25 k 13.75 k 37.00 ft.

-4.0

5 k

17.1

1 k

(Total Bent Height) HB1-18.97 k HB2

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. DB1DB2

4.75 k 18.50 kW40x397

Member Force Sign Convention: Drift Analysis + = Compression 20.00 ft. Story - = Tension NumberVertical Reaction Sign Convention: Story 2 Upward = Compression 17.11 k 17.11 k Story 1 Downward = Tension (Uplift) Bent Elevation W40x327

W40x324

W40x321

Input Data for Drift Analysis: W40x298

W40x297

Member Data Nomenclature: W40x278

Designation Length Area LC = Left Column Segment W40x277

(ft.) (in.^2) RC = Right Column Segment W40x268

Left LC1 19.00 7.08 HB = Horizontal Beam W40x264

Column LC2 18.00 7.08 DB = Diagonal Brace W40x249

Right RC1 19.00 7.08 W40x244

Column RC2 18.00 7.08 W40x235

Beams HB1 20.00 5.62 and braces are numbered from W40x221

HB2 20.00 5.62 bottom to top, same as stories. W40x215

Braces DB1 27.59 1.44 W40x211

DB2 26.91 1.44 Mod. of Elasticity, E = 29000 ksi

W40x192

Results: W40x183

W40x174

Drift Analysis W40x167

Story Total Drift Drift Ratio Story Drift Drift Ratio W40x149

Number (Total) (per Story) W36x848

Story 2 0.3403 Ht / 1305 0.0946 h2 / 2284 W36x798

Story 1 0.2457 Hs / 928 0.2457 h1 / 928 W36x720

Note: Ht = total height of bent (base to top story). W36x650

P2 =

h2 =

P1 = Ht =

h1 =

P(bot) = = VL D1 = S F*u1*L/(A*E) =

RL = RR =

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

5 of 29 04/08/2023 03:29:45

Hs = total height from base to story considered. W36x588

W36x527

"XBRACING.xls" ProgramVersion 1.0

6 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 3-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"4.25 k 4.25 k Member

0.00

k

3.61

k

DesignationStory Heights -5.58 k LC1

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. LC2LC3

8.75 k 13.00 k RC1

-3.6

1 k

15.3

1 k

RC2-17.49 k RC3

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. 54.00 ft. (Total Bent Height) HB2

9.25 k 22.25 k HB3

-15.

31 k

36.4

5 k

DB1-30.69 k DB2

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. DB3

4.75 k 27.00 k W40x331

Drift AnalysisMember Force Sign Convention: Story + = Compression 20.00 ft. Number - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 36.45 k 36.45 k Story 1 Downward = Tension (Uplift) Bent Elevation W40x278

W40x277

W40x268

W40x264

W40x249

W40x244

W40x235

W40x221

W40x215

W40x211

W40x199

W40x192

W40x183

W40x174

W40x167

W40x149

W36x848

W36x798

W36x720

W36x650

P3 =

h3 =

P2 =

h2 = Ht =

P1 =

h1 =D1 = S F*u1*L/(A*E) =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

7 of 29 04/08/2023 03:29:45

W36x588

W36x527

W36x485

W36x439

Input Data for Drift Analysis: W36x393

W36x359

Member Data W36x328

Designation Length Area W36x300

(ft.) (in.^2) W36x280

LC1 19.00 7.08 Nomenclature: W36x260

Left Col. LC2 18.00 7.08 LC = Left Column Segment W36x256

LC3 17.00 7.08 RC = Right Column Segment W36x245

RC1 19.00 7.08 HB = Horizontal Beam W36x232

Right Col. RC2 18.00 7.08 DB = Diagonal Brace W36x230

RC3 17.00 7.08 W36x210

HB1 20.00 5.62 W36x194

Beams HB2 20.00 5.62 and braces are numbered from W36x182

HB3 20.00 5.62 bottom to top, same as stories. W36x170

DB1 27.59 1.44 W36x160

Braces DB2 26.91 1.44 W36x150

DB3 26.25 1.44 Mod. of Elasticity, E = 29000 ksi

W33x619

Results: W33x567

W33x515

Drift Analysis W33x468

Story Total Drift Drift Ratio Story Drift Drift Ratio W33x424

Number (Total) (per Story) W33x387

Story 3 0.8044 Ht / 806 0.1303 h3 / 1566 W33x354

Story 2 0.6741 Hs / 659 0.2673 h2 / 808 W33x318

Story 1 0.4068 Hs / 561 0.4068 h1 / 561 W33x291

W33x263

Note: Ht = total height of bent (base to top story). W33x241

Hs = total height from base to story considered. W33x221

W33x201

W33x169

W33x152

W33x141

W33x130

W33x118

W30x581

W30x526

W30x477

W30x433

W30x391

W30x357

W30x326

W30x292

W30x261

W30x235

W30x211

W30x191

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

8 of 29 04/08/2023 03:29:45

W30x173

W30x148

W30x132

"XBRACING.xls" ProgramVersion 1.0

9 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 4-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"4.00 k 4.00 k Member

0.00

k

3.20

k

DesignationStory Heights -5.12 k LC1

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. LC2LC3

8.25 k 12.25 k LC4

-3.2

0 k

13.6

1 k

RC1-16.08 k RC2

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. RC3RC4

8.75 k 21.00 k 70.00 ft.

-13.

61 k

32.5

1 k

(Total Bent Height) HB2-28.25 k HB3

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. HB4DB1

9.25 k 30.25 k DB2

-32.

51 k

61.2

5 k

DB3-41.72 k DB4

19.00 ft. Brace Angle1=43.53 L1=27.59 ft.

W40x321

4.75 k 35.00 k Drift AnalysisStory

Member Force Sign Convention: Number + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 61.25 k 61.25 k Story 1 Downward = Tension (Uplift) Bent Elevation W40x244

W40x235

W40x221

W40x215

W40x211

W40x199

W40x192

W40x183

W40x174

W40x167

W40x149

W36x848

W36x798

W36x720

W36x650

P4 =

h4 =

P3 =

h3 =

P2 = Ht =

h2 =

P1 =

h1 = D1 = S F*u1*L/(A*E) =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

10 of 29 04/08/2023 03:29:45

W36x588

W36x527

W36x485

W36x439

Input Data for Drift Analysis: W36x393

W36x359

Member Data W36x328

Designation Length Area W36x300

(ft.) (in.^2) W36x280

LC1 18.00 7.08 Nomenclature: W36x260

Left LC2 17.00 7.08 LC = Left Column Segment W36x256

Column LC3 16.00 7.08 RC = Right Column Segment W36x245

LC4 16.00 7.08 HB = Horizontal Beam W36x232

RC1 18.00 7.08 DB = Diagonal Brace W36x230

Right RC2 17.00 7.08 W36x210

Column RC3 16.00 7.08 W36x194

RC4 16.00 7.08 and braces are numbered from W36x182

HB1 20.00 5.62 bottom to top, same as stories. W36x170

Beams HB2 20.00 5.62 W36x160

HB3 20.00 5.62 W36x150

HB4 20.00 5.62 W36x135

DB1 27.59 1.44 W33x619

Braces DB2 26.91 1.44 W33x567

DB3 26.25 1.44 W33x515

DB4 25.61 1.44 Mod. of Elasticity, E = 29000 ksi

W33x424

Results: W33x387

W33x354

Drift Analysis W33x318

Story Total Drift Drift Ratio Story Drift Drift Ratio W33x291

Number (Total) (per Story) W33x263

Story 4 1.5252 Ht / 551 0.1920 h4 / 1000 W33x241

Story 3 1.3331 Hs / 486 0.3184 h3 / 641 W33x221

Story 2 1.0147 Hs / 438 0.4493 h2 / 481 W33x201

Story 1 0.5654 Hs / 403 0.5654 h1 / 403 W33x169

W33x152

Note: Ht = total height of bent (base to top story). W33x141

Hs = total height from base to story considered. W33x130

W33x118

W30x581

W30x526

W30x477

W30x433

W30x391

W30x357

W30x326

W30x292

W30x261

W30x235

W30x211

W30x191

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

11 of 29 04/08/2023 03:29:45

W30x173

W30x148

W30x132

"XBRACING.xls" ProgramVersion 1.0

12 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 5-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"3.75 k 3.75 k Member

0.00

k

2.81

k

DesignationStory Heights -4.69 k LC1

15.00 ft. Brace Angle5=36.87 L5=25 ft. LC2LC3

7.75 k 11.50 k LC4

-2.8

1 k

12.0

1 k

LC5-14.73 k RC1

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. RC2RC3

8.25 k 19.75 k RC4

-12.

01 k

28.8

0 k

RC5-25.92 k HB1

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. 85.00 ft. (Total Bent Height) HB3

8.75 k 28.50 k HB4

-28.

80 k

54.4

5 k

HB5-38.34 k DB1

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. DB2DB3

9.25 k 37.75 k DB4

-54.

45 k

90.3

1 k

DB5-52.07 k

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. W40x277

Drift Analysis4.75 k 42.50 k Story

NumberMember Force Sign Convention: Story 5 + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 90.31 k 90.31 k Story 1 Downward = Tension (Uplift) Bent Elevation W40x199

W40x192

W40x183

W40x174

W40x167

W40x149

W36x848

W36x798

W36x720

W36x650

P5 =

h5 =

P4 =

h4 =

P3 =

h3 = Ht =

P2 =

h2 =

P1 =

D1 = S F*u1*L/(A*E) =

h1 =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

13 of 29 04/08/2023 03:29:45

W36x588

W36x527

W36x485

W36x439

Input Data for Drift Analysis: W36x393

W36x359

Member Data W36x328

Designation Length Area W36x300

(ft.) (in.^2) W36x280

LC1 19.00 7.08 Nomenclature: W36x260

Left LC2 18.00 7.08 LC = Left Column Segment W36x256

Column LC3 17.00 7.08 RC = Right Column Segment W36x245

LC4 16.00 7.08 HB = Horizontal Beam W36x232

LC5 15.00 7.08 DB = Diagonal Brace W36x230

RC1 19.00 7.08 W36x210

Right RC2 18.00 7.08 W36x194

Column RC3 17.00 7.08 and braces are numbered from W36x182

RC4 16.00 7.08 bottom to top, same as stories. W36x170

RC5 15.00 7.08 W36x160

HB1 20.00 5.62 W36x150

HB2 20.00 5.62 W36x135

Beams HB3 20.00 5.62 W33x619

HB4 20.00 5.62 W33x567

HB5 20.00 5.62 W33x515

DB1 27.59 1.44 W33x468

DB2 26.91 1.44 W33x424

Braces DB3 26.25 1.44 W33x387

DB4 25.61 1.44 W33x354

DB5 25.00 1.44 Mod. of Elasticity, E = 29000 ksi

W33x291

Results: W33x263

W33x241

Drift Analysis W33x221

Story Total Drift Drift Ratio Story Drift Drift Ratio W33x201

Number (Total) (per Story) W33x169

Story 5 2.5507 Ht / 400 0.2765 h5 / 651 W33x152

Story 4 2.2742 Hs / 369 0.3958 h4 / 485 W33x141

Story 3 1.8783 Hs / 345 0.5211 h3 / 391 W33x130

Story 2 1.3572 Hs / 327 0.6371 h2 / 339 W33x118

Story 1 0.7202 Hs / 317 0.7202 h1 / 317 W30x581

W30x526

Note: Ht = total height of bent (base to top story). W30x477

Hs = total height from base to story considered. W30x433

W30x391

W30x357

W30x326

W30x292

W30x261

W30x235

W30x211

W30x191

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

14 of 29 04/08/2023 03:29:45

W30x173

W30x148

W30x132

"XBRACING.xls" ProgramVersion 1.0

15 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 6-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"3.50 k 3.50 k Member

0.00

k

2.45

k

DesignationStory Heights -4.27 k LC1

14.00 ft. Brace Angle6=34.99 L6=24.41 ft. LC2LC3

7.25 k 10.75 k LC4

-2.4

5 k

10.5

1 k

LC5-13.44 k LC6

15.00 ft. Brace Angle5=36.87 L5=25 ft. RC1RC2

7.75 k 18.50 k RC3

-10.

51 k

25.3

1 k

RC4-23.69 k RC5

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. RC6B1

8.25 k 26.75 k 99.00 ft.

-25.

31 k

48.0

5 k

(Total Bent Height) B3-35.11 k B4

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. B5B6

8.75 k 35.50 k DB1

-48.

05 k

80.0

0 k

DB2-47.76 k DB3

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. DB4DB5

9.25 k 44.75 k DB6

-80.

00 k

122.

51 k-61.72 k W40x244

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. Drift AnalysisStory

4.75 k 49.50 k NumberStory 6

Member Force Sign Convention: Story 5 + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 122.51 k 122.51 k Story 1 Downward = Tension (Uplift) Bent Elevation W40x149

W36x848

W36x798

W36x720

W36x650

P6 =

h6 =

P5 =

h5 =

P4 =

h4 =

P3 = Ht =

h3 =

P2 =

h2 =

P1 =D1 = S F*u1*L/(A*E) =

h1 =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

16 of 29 04/08/2023 03:29:45

W36x588

W36x527

W36x485

W36x439

Input Data for Drift Analysis: W36x393

W36x359

Member Data W36x328

Designation Length Area W36x300

(ft.) (in.^2) W36x280

LC1 19.00 7.08 Nomenclature: W36x260

LC2 18.00 7.08 LC = Left Column Segment W36x256

Left LC3 17.00 7.08 RC = Right Column Segment W36x245

Column LC4 16.00 7.08 HB = Horizontal Beam W36x232

LC5 15.00 7.08 DB = Diagonal Brace W36x230

LC6 14.00 7.08 W36x210

RC1 19.00 7.08 W36x194

RC2 18.00 7.08 and braces are numbered from W36x182

Right RC3 17.00 7.08 bottom to top, same as stories. W36x170

Column RC4 16.00 7.08 W36x160

RC5 15.00 7.08 W36x150

RC6 14.00 7.08 W36x135

HB1 20.00 5.62 W33x619

HB2 20.00 5.62 W33x567

Beams HB3 20.00 5.62 W33x515

HB4 20.00 5.62 W33x468

HB5 20.00 5.62 W33x424

HB6 20.00 5.62 W33x387

DB1 27.59 1.44 W33x354

DB2 26.91 1.44 W33x318

Braces DB3 26.25 1.44 W33x291

DB4 25.61 1.44 W33x263

DB5 25.00 1.44 W33x241

DB6 24.41 1.44 Mod. of Elasticity, E = 29000 ksi

W33x201

Results: W33x169

W33x152

Drift Analysis W33x141

Story Total Drift Drift Ratio Story Drift Drift Ratio W33x130

Number (Total) (per Story) W33x118

Story 6 3.9161 Ht / 303 0.3773 h6 / 445 W30x581

Story 5 3.5388 Hs / 288 0.4929 h5 / 365 W30x526

Story 4 3.0459 Hs / 276 0.6155 h4 / 312 W30x477

Story 3 2.4304 Hs / 267 0.7332 h3 / 278 W30x433

Story 2 1.6973 Hs / 262 0.8272 h2 / 261 W30x391

Story 1 0.8700 Hs / 262 0.8700 h1 / 262 W30x357

W30x326

Note: Ht = total height of bent (base to top story). W30x292

Hs = total height from base to story considered. W30x261

W30x235

W30x211

W30x191

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

17 of 29 04/08/2023 03:29:45

W30x173

W30x148

W30x132

"XBRACING.xls" ProgramVersion 1.0

18 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 7-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"3.25 k 3.25 k Member

0.00

k

2.11

k

DesignationStory Heights -3.88 k LC1

13.00 ft. Brace Angle7=33.02 L7=23.85 ft. LC2LC3

6.75 k 10.00 k LC4

-2.1

1 k

9.11

k

LC5-12.21 k LC6

14.00 ft. Brace Angle6=34.99 L6=24.41 ft. LC7RC1

7.25 k 17.25 k RC2

-9.1

1 k

22.0

5 k

RC3-21.56 k RC4

15.00 ft. Brace Angle5=36.87 L5=25 ft. RC5RC6

7.75 k 25.00 k RC7

-22.

05 k

42.0

5 k

HB1-32.02 k HB2

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. 112.00 ft. (Total Bent Height) HB4

8.25 k 33.25 k HB5

-42.

05 k

70.3

1 k

HB6-43.64 k HB7

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. DB1DB2

8.75 k 42.00 k DB3

-70.

31 k

108.

11 k

DB4-56.51 k DB5

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. DB6DB7

9.25 k 51.25 k

-108

.11

k

156.

80 k

W40x211

-70.69 k Drift Analysis19.00 ft. Brace Angle1=43.53 L1=27.59 ft. Story

Number4.75 k 56.00 k Story 7

Story 6Member Force Sign Convention: Story 5 + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 156.80 k 156.80 k Story 1

P7 =

h7 =

P6 =

h6 =

P5 =

h5 =

P4 =

h4 = Ht =

P3 =

h3 =

P2 =

h2 =

P1 = D1 = S F*u1*L/(A*E) =

h1 =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

19 of 29 04/08/2023 03:29:45

Downward = Tension (Uplift) Bent Elevation W36x588

W36x527

W36x485

W36x439

Input Data for Drift Analysis: W36x393

W36x359

Member Data W36x328

Designation Length Area W36x300

(ft.) (in.^2) W36x280

LC1 18.00 7.08 Nomenclature: W36x260

LC2 17.00 7.08 LC = Left Column Segment W36x256

Left LC3 16.00 7.08 RC = Right Column Segment W36x245

Column LC4 15.00 7.08 HB = Horizontal Beam W36x232

LC5 14.00 7.08 DB = Diagonal Brace W36x230

LC6 13.00 7.08 W36x210

LC7 13.00 7.08 W36x194

RC1 18.00 7.08 and braces are numbered from W36x182

RC2 17.00 7.08 bottom to top, same as stories. W36x170

Right RC3 16.00 7.08 W36x160

Column RC4 15.00 7.08 W36x150

RC5 14.00 7.08 W36x135

RC6 13.00 7.08 W33x619

RC7 13.00 7.08 W33x567

HB1 20.00 5.62 W33x515

HB2 20.00 5.62 W33x468

HB3 20.00 5.62 W33x424

Beams HB4 20.00 5.62 W33x387

HB5 20.00 5.62 W33x354

HB6 20.00 5.62 W33x318

HB7 20.00 5.62 W33x291

DB1 26.91 1.44 W33x263

DB2 26.25 1.44 W33x241

DB3 25.61 1.44 W33x221

Braces DB4 25.00 1.44 W33x201

DB5 24.41 1.44 W33x169

DB6 23.85 1.44 W33x152

DB7 23.85 1.44 Mod. of Elasticity, E = 29000 ksi

W33x130

Results: W33x118

W30x581

Drift Analysis W30x526

Story Total Drift Drift Ratio Story Drift Drift Ratio W30x477

Number (Total) (per Story) W30x433

Story 7 5.6360 Ht / 238 0.4860 h7 / 321 W30x391

Story 6 5.1500 Hs / 231 0.6010 h6 / 280 W30x357

Story 5 4.5490 Hs / 224 0.7236 h5 / 249 W30x326

Story 4 3.8253 Hs / 220 0.8448 h4 / 227 W30x292

Story 3 2.9805 Hs / 217 0.9499 h3 / 215 W30x261

Story 2 2.0306 Hs / 219 1.0168 h2 / 212 W30x235

Story 1 1.0138 Hs / 225 1.0138 h1 / 225 W30x211

W30x191

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

20 of 29 04/08/2023 03:29:45

Note: Ht = total height of bent (base to top story). W30x173

Hs = total height from base to story considered. W30x148

W30x132

"XBRACING.xls" ProgramVersion 1.0

21 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 8-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"3.00 k 3.00 k Member

0.00

k

1.80

k

DesignationStory Heights -3.50 k LC1

12.00 ft. Brace Angle8=30.96 L8=23.32 ft. LC2LC3

6.25 k 9.25 k LC4

-1.8

0 k

7.81

k

LC5-11.03 k LC6

13.00 ft. Brace Angle7=33.02 L7=23.85 ft. LC7LC8

6.75 k 16.00 k RC1-7

.81

k

19.0

1 k

RC2-19.53 k RC3

14.00 ft. Brace Angle6=34.99 L6=24.41 ft. RC4RC5

7.25 k 23.25 k RC6

-19.

01 k

36.4

5 k

RC7-29.06 k RC8

15.00 ft. Brace Angle5=36.87 L5=25 ft. HB1HB2

7.75 k 31.00 k 124.00 ft.

-36.

45 k

61.2

5 k

(Total Bent Height) HB4-39.70 k HB5

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. HB6HB7

8.25 k 39.25 k HB8

-61.

25 k

94.6

1 k

DB1-51.51 k DB2

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. DB3DB4

8.75 k 48.00 k DB5

-94.

61 k

137.

81 k

DB6-64.58 k DB7

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. DB8

9.25 k 57.25 k W40x174

-137

.81

k

192.

20 k

Drift Analysis-78.97 k Story

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. NumberStory 8

4.75 k 62.00 k Story 7Story 6

Member Force Sign Convention: Story 5 + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 192.20 k 192.20 k Story 1 Downward = Tension (Uplift) Bent Elevation W36x359

P8 =

h8 =

P7 =

h7 =

P6 =

h6 =

P5 =

h5 =

P4 = Ht =

h4 =

P3 =

h3 =

P2 =

h2 =D1 = S F*u1*L/(A*E) =

P1 =

h1 =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

22 of 29 04/08/2023 03:29:45

W36x328

W36x300

W36x280

Input Data for Drift Analysis: W36x260

W36x256

Member Data W36x245

Designation Length Area W36x232

(ft.) (in.^2) W36x230

LC1 19.00 7.08 Nomenclature: W36x210

LC2 18.00 7.08 LC = Left Column Segment W36x194

LC3 17.00 7.08 RC = Right Column Segment W36x182

Left LC4 16.00 7.08 HB = Horizontal Beam W36x170

Column LC5 15.00 7.08 DB = Diagonal Brace W36x160

LC6 14.00 7.08 W36x150

LC7 13.00 7.08 W36x135

LC8 12.00 7.08 and braces are numbered from W33x619

RC1 19.00 7.08 bottom to top, same as stories. W33x567

RC2 18.00 7.08 W33x515

RC3 17.00 7.08 W33x468

Right RC4 16.00 7.08 W33x424

Column RC5 15.00 7.08 W33x387

RC6 14.00 7.08 W33x354

RC7 13.00 7.08 W33x318

RC8 12.00 7.08 W33x291

HB1 20.00 5.62 W33x263

HB2 20.00 5.62 W33x241

HB3 20.00 5.62 W33x221

Beams HB4 20.00 5.62 W33x201

HB5 20.00 5.62 W33x169

HB6 20.00 5.62 W33x152

HB7 20.00 5.62 W33x141

HB8 20.00 5.62 W33x130

DB1 27.59 1.44 W33x118

DB2 26.91 1.44 W30x581

DB3 26.25 1.44 W30x526

Braces DB4 25.61 1.44 W30x477

DB5 25.00 1.44 W30x433

DB6 24.41 1.44 W30x391

DB7 23.85 1.44 W30x357

DB8 23.32 1.44 Mod. of Elasticity, E = 29000 ksi

W30x292

Results: W30x261

W30x235

Drift Analysis W30x211

Story Total Drift Drift Ratio Story Drift Drift Ratio W30x191

Number (Total) (per Story) W30x173

Story 8 7.7007 Ht / 193 0.5936 h8 / 243 W30x148

Story 7 7.1071 Hs / 189 0.7107 h7 / 219 W30x132

Story 6 6.3964 Hs / 186 0.8358 h6 / 201 W30x124

Story 5 5.5606 Hs / 183 0.9621 h5 / 187 W30x116

Story 4 4.5985 Hs / 183 1.0783 h4 / 178 W30x108

Story 3 3.5202 Hs / 184 1.1670 h3 / 175 W30x99

Story 2 2.3532 Hs / 189 1.2027 h2 / 180 W30x90

Story 1 1.1505 Hs / 198 1.1505 h1 / 198 W27x539

W27x494

Note: Ht = total height of bent (base to top story). W27x448

Hs = total height from base to story considered. W27x407

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

23 of 29 04/08/2023 03:29:45

W27x368

"XBRACING.xls" ProgramVersion 1.0

24 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 9-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"2.75 k 2.75 k Member

0.00

k

1.51

k

DesignationStory Heights -3.14 k LC1

11.00 ft. Brace Angle9=28.81 L9=22.83 ft. LC2LC3

5.75 k 8.50 k LC4

-1.5

1 k

6.61

k

LC5-9.91 k LC6

12.00 ft. Brace Angle8=30.96 L8=23.32 ft. LC7LC8

6.25 k 14.75 k LC9

-6.6

1 k

16.2

0 k

RC1-17.59 k RC2

13.00 ft. Brace Angle7=33.02 L7=23.85 ft. RC3RC4

6.75 k 21.50 k RC5

-16.

20 k

31.2

5 k

RC6-26.24 k RC7

14.00 ft. Brace Angle6=34.99 L6=24.41 ft. RC8RC9

7.25 k 28.75 k HB1

-31.

25 k

52.8

1 k

HB2-35.94 k HB3

15.00 ft. Brace Angle5=36.87 L5=25 ft. 135.00 ft. (Total Bent Height) HB5

7.75 k 36.50 k HB6

-52.

81 k

82.0

1 k

HB7-46.74 k HB8

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. HB9DB1

8.25 k 44.75 k DB2

-82.

01 k

120.

05 k

DB3-58.73 k DB4

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. DB5DB6

8.75 k 53.50 k DB7

-120

.05

k

168.

20 k

DB8-71.98 k DB9

18.00 ft. Brace Angle2=41.99 L2=26.91 ft.

W36x798

9.25 k 62.75 k Drift Analysis

-168

.20

k

227.

81 k

Story-86.55 k Number

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. Story 9Story 8

4.75 k 67.50 k Story 7Story 6

Member Force Sign Convention: Story 5 + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 227.81 k 227.81 k Story 1 Downward = Tension (Uplift) Bent Elevation W36x256

P9 =

h9 =

P8 =

h8 =

P7 =

h7 =

P6 =

h6 =

P5 =

h5 = Ht =

P4 =

h4 =

P3 =

h3 =

P2 =

h2 = D1 = S F*u1*L/(A*E) =

P1 =

h1 =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

25 of 29 04/08/2023 03:29:45

W36x245

W36x232

W36x230

Input Data for Drift Analysis: W36x210

W36x194

Member Data W36x182

Designation Length Area W36x170

(ft.) (in.^2) W36x160

LC1 19.00 7.08 Nomenclature: W36x150

LC2 18.00 7.08 LC = Left Column Segment W36x135

LC3 17.00 7.08 RC = Right Column Segment W33x619

Left LC4 16.00 7.08 HB = Horizontal Beam W33x567

Column LC5 15.00 7.08 DB = Diagonal Brace W33x515

LC6 14.00 7.08 W33x468

LC7 13.00 7.08 W33x424

LC8 12.00 7.08 and braces are numbered from W33x387

LC9 11.00 7.08 bottom to top, same as stories. W33x354

RC1 19.00 7.08 W33x318

RC2 18.00 7.08 W33x291

RC3 17.00 7.08 W33x263

Right RC4 16.00 7.08 W33x241

Column RC5 15.00 7.08 W33x221

RC6 14.00 7.08 W33x201

RC7 13.00 7.08 W33x169

RC8 12.00 7.08 W33x152

RC9 11.00 7.08 W33x141

HB1 20.00 5.62 W33x130

HB2 20.00 5.62 W33x118

HB3 20.00 5.62 W30x581

HB4 20.00 5.62 W30x526

Beams HB5 20.00 5.62 W30x477

HB6 20.00 5.62 W30x433

HB7 20.00 5.62 W30x391

HB8 20.00 5.62 W30x357

HB9 20.00 5.62 W30x326

DB1 27.59 1.44 W30x292

DB2 26.91 1.44 W30x261

DB3 26.25 1.44 W30x235

DB4 25.61 1.44 W30x211

Braces DB5 25.00 1.44 W30x191

DB6 24.41 1.44 W30x173

DB7 23.85 1.44 W30x148

DB8 23.32 1.44 W30x132

DB9 22.83 1.44 Mod. of Elasticity, E = 29000 ksi

W30x116

Results: W30x108

W30x99

Drift Analysis W30x90

Story Total Drift Drift Ratio Story Drift Drift Ratio W27x539

Number (Total) (per Story) W27x494

Story 9 10.0752 Ht / 161 0.6910 h9 / 191 W27x448

Story 8 9.3841 Hs / 159 0.8126 h8 / 177 W27x407

Story 7 8.5716 Hs / 157 0.9421 h7 / 166 W27x368

Story 6 7.6295 Hs / 156 1.0748 h6 / 156 W27x336

Story 5 6.5547 Hs / 156 1.2022 h5 / 150 W27x307

Story 4 5.3525 Hs / 157 1.3107 h4 / 146 W27x281

Story 3 4.0419 Hs / 160 1.3802 h3 / 148 W27x258

Story 2 2.6616 Hs / 167 1.3825 h2 / 156 W27x235

Story 1 1.2791 Hs / 178 1.2791 h1 / 178 W27x217

W27x194

Note: Ht = total height of bent (base to top story). W27x178

Hs = total height from base to story considered. W27x161

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

26 of 29 04/08/2023 03:29:45

W27x146

"XBRACING.xls" ProgramVersion 1.0

27 of 29 04/08/2023 03:29:45

X-Braced Bent Analysis for Lateral LoadsFor 10-Story Bent

Assuming Fully Braced, Tension-Only SystemJob Name: Subject: W44x335

Job Number: Originator: Checker: W44x290

W44x285

Forces and Reactions: L = 20.00 ft. W44x262

Lateral Story Loads (Bent Width) Story Deflections Determined by "Virtual Work Method"2.50 k 2.50 k Member

0.0

0 k

1.2

5 k

DesignationStory Heights -2.80 k LC1

10.00 ft. Brace Angle10=26.57 L10=22.36 ft. LC2LC3

5.25 k 7.75 k LC4

-1.2

5 k

5.5

1 k

LC5-8.84 k LC6

11.00 ft. Brace Angle9=28.81 L9=22.83 ft. LC7LC8

5.75 k 13.50 k LC9

-5.5

1 k

13

.61

k

LC10-15.74 k RC1

12.00 ft. Brace Angle8=30.96 L8=23.32 ft. RC2RC3

6.25 k 19.75 k RC4-1

3.6

1 k

26

.45

k

RC5-23.56 k RC6

13.00 ft. Brace Angle7=33.02 L7=23.85 ft. RC7RC8

6.75 k 26.50 k RC9

-26

.45

k

45

.00

k

RC10-32.35 k HB1

14.00 ft. Brace Angle6=34.99 L6=24.41 ft. HB2HB3

7.25 k 33.75 k 145.00 ft.

-45

.00

k

70.3

1 k

(Total Bent Height) HB5-42.19 k HB6

15.00 ft. Brace Angle5=36.87 L5=25 ft. HB7HB8

7.75 k 41.50 k HB9

-70

.31

k

10

3.5

1 k

HB10-53.15 k DB1

16.00 ft. Brace Angle4=38.66 L4=25.61 ft. DB2DB3

8.25 k 49.75 k DB4

-10

3.5

1 k

14

5.8

0 k

DB5-65.29 k DB6

17.00 ft. Brace Angle3=40.36 L3=26.25 ft. DB7DB8

8.75 k 58.50 k DB9

-14

5.8

0 k

19

8.4

5 k

DB10-78.70 k

18.00 ft. Brace Angle2=41.99 L2=26.91 ft. W36x527

Drift Analysis9.25 k 67.75 k Story

-19

8.4

5 k

262

.81

k

Number-93.45 k Story 10

19.00 ft. Brace Angle1=43.53 L1=27.59 ft. Story 9Story 8

4.75 k 72.50 k Story 7Story 6

Member Force Sign Convention: Story 5 + = Compression 20.00 ft. Story 4 - = Tension Story 3Vertical Reaction Sign Convention: Story 2 Upward = Compression 262.81 k 262.81 k Story 1 Downward = Tension (Uplift) Bent Elevation W36x194

P10 =

h10 =

P9 =

h9 =

P8 =

h8 =

P7 =

h7 =

P6 =

h6 =

P5 = Ht =

h5 =

P4 =

h4 =

P3 =

h3 =

P2 =

D1 = S F*u1*L/(A*E) =

h2 =

P1 =

h1 =

P(bot) = = VL

RL = RR =

"XBRACING.xls" ProgramVersion 1.0

28 of 29 04/08/2023 03:29:45

W36x182

W36x170

W36x160

Input Data for Drift Analysis: W36x150

W36x135

Member Data W33x619

Designation Length Area W33x567

(ft.) (in.^2) W33x515

LC1 18.00 7.08 Nomenclature: W33x468

LC2 17.00 7.08 LC = Left Column Segment W33x424

LC3 16.00 7.08 RC = Right Column Segment W33x387

LC4 15.00 7.08 HB = Horizontal Beam W33x354

Left LC5 14.00 7.08 DB = Diagonal Brace W33x318

Column LC6 13.00 7.08 W33x291

LC7 12.00 7.08 W33x263

LC8 11.00 7.08 and braces are numbered from W33x241

LC9 10.00 7.08 bottom to top, same as stories. W33x221

LC10 10.00 7.08 W33x201

RC1 18.00 7.08 W33x169

RC2 17.00 7.08 W33x152

RC3 16.00 7.08 W33x141

Right RC4 15.00 7.08 W33x130

Column RC5 14.00 7.08 W33x118

RC6 13.00 7.08 W30x581

RC7 12.00 7.08 W30x526

RC8 11.00 7.08 W30x477

RC9 10.00 7.08 W30x433

RC10 10.00 7.08 W30x391

HB1 20.00 5.62 W30x357

HB2 20.00 5.62 W30x326

HB3 20.00 5.62 W30x292

HB4 20.00 5.62 W30x261

Beams HB5 20.00 5.62 W30x235

HB6 20.00 5.62 W30x211

HB7 20.00 5.62 W30x191

HB8 20.00 5.62 W30x173

HB9 20.00 5.62 W30x148

HB10 20.00 5.62 W30x132

DB1 26.91 1.44 W30x124

DB2 26.25 1.44 W30x116

DB3 25.61 1.44 W30x108

DB4 25.00 1.44 W30x99

Braces DB5 24.41 1.44 W30x90

DB6 23.85 1.44 W27x539

DB7 23.32 1.44 W27x494

DB8 22.83 1.44 W27x448

DB9 22.36 1.44 W27x407

DB10 22.36 1.44 Mod. of Elasticity, E = 29000 ksi

W27x336

Results: W27x307

W27x281

Drift Analysis W27x258

Story Total Drift Drift Ratio Story Drift Drift Ratio W27x235

Number (Total) (per Story) W27x217

Story 10 12.7008 Ht / 137 0.7703 h10 / 156 W27x194

Story 9 11.9305 Hs / 136 0.8980 h9 / 147 W27x178

Story 8 11.0325 Hs / 135 1.0334 h8 / 139 W27x161

Story 7 9.9991 Hs / 134 1.1734 h7 / 133 W27x146

Story 6 8.8257 Hs / 135 1.3118 h6 / 128 W27x129

Story 5 7.5139 Hs / 136 1.4382 h5 / 125 W27x114

Story 4 6.0756 Hs / 138 1.5371 h4 / 125 W27x102

Story 3 4.5385 Hs / 143 1.5860 h3 / 129 W27x94

Story 2 2.9525 Hs / 150 1.5537 h2 / 139 W27x84

Story 1 1.3988 Hs / 163 1.3988 h1 / 163 W24x492

W24x450

Note: Ht = total height of bent (base to top story). W24x408

Hs = total height from base to story considered. W24x370

Note: Column segments, beams,

Note: Results are for joints at left side of bent, with all members (segments) assumed pinned at both ends.

Dt (in.) Ds (in.)

"XBRACING.xls" ProgramVersion 1.0

29 of 29 04/08/2023 03:29:45

W24x335