V. AISC N690 1994 Pipe Section With SLC

Verify the design of a pipe section used for a beam member per the AISC N690 1994 code.

References

Gere, J. M. and S. P. Timoshenko. 1984. Mechanics of Materials, 2nd Edition. Boston, MA: PWS Publishers. p.238.

Details

The 10 ft long span is a propped cantilever which is free to move axially at the fixed end. The beam is subject to the following four different load cases:

a 10 kip axial tension force,
a 10 kip axial compression force,
a uniformly distributed load of 0.3 kip/ft in the Global Y directions, the member selfweight (acts in Global Y), and the tension load from case 1
a uniformly distributed load of 0.3 kip/ft in the Global Y directions, the member selfweight (acts in Global Y), and the compression load from case 2

The member is Pipe 5-Sched. 40 (standard) pipe section with Grade A36 steel. The self-weight is 14.6 lbs/ft.

Validation

Slenderness Ratio

The slenderness ratio is the same about either local z or y axes: KL/r = 120 in / 1.888 in = 63.56 < 300, OK

Axial Tension

From section Q1.5.1.1, the allowable tensile stress:

F_{t} = {}_{min}{| \begin{matrix} 0.6 F_{y} = 0.6 \times 36 = 21.6 ksi \\ 0.5 F_{u} = 0.5 \times 58 = 29 ksi \end{matrix}}

The actual tensile stress from load case 1:

f_{t} = \frac{P}{A} = \frac{10}{4.01} = 2.49 ksi < F_{t}

Stress ratio = 2.49 / 21.6 = 0.115, hence OK.

Axial Compression

Allowable compressive stress per Cl Q1.9.2.3:

\frac{OD}{t} = \frac{5.56}{0.24} = 23.17 < \frac{3,300}{F_{y}} = \frac{3,300}{36} = 91.67

C_{c} = \sqrt{\frac{2 π^{2} E}{F_{y}}} = 126.1

Since Kl/r < C_c, per eq. Q1.5-1, the allowable axial compressive stress:

F_{a} = \frac{1 - \frac{{(\frac{k l}{r})}^{2}}{2 \times C_{c}^{2}}}{\frac{5}{3} + 3 \times \frac{\frac{k l}{r}}{8 \times C_{c}} - \frac{{(\frac{k l}{r})}^{3}}{8 \times C_{c}^{3}}} F_{y} = 17.08 ksi

The actual compressive stress from load case 2:

f_{a} = \frac{P}{A} = \frac{10}{4.01} = 2.49 ksi < F_{a}

Stress ratio = 2.49 / 17.08 = 0.146, hence OK.

Bending

Section is compact per Cl Q1.5.1.4.1: $\frac{O D}{t} = 23.17 < \frac{3,300}{F_{y}} = 91.67$

Allowable bending stress about both axes: F_b = 0.66×F_y = 23.76 ksi

Moment due to load case 3 or 4 on a propped cantilever (ref. AISC Steel Construction Manual):

M_{z} = \frac{w \times l^{2}}{8} = \frac{0.314 \times 10^{2}}{8} = 3.93 ft·k = 47.2 in·k

Actual bending stress about the major axis: $f_{bz} = \frac{M_{z}}{I_{z}} (\frac{O D}{2}) = \frac{47.2}{14.3} (\frac{5.56}{2}) = 9.17 ksi$

(actual bending about the minor axis: $f_{by} = 0$ )

Stress ratio: 9.17 / 23.76 = 0.386, hence OK.

Combined Bending and Axial Tension

Interaction per Cl Q1.6.2 in load case 3 (tension + bending):

\frac{f_{a}}{SFT \times 0.6 F_{y}} + \frac{f_{b z}}{SMZ \times F_{b z}} = \frac{2.49}{1.3 \times 21.6} + \frac{9.17}{1.4 \times 23.76} = 0.364

(Eq. Q1.6-1b)

Combined Bending and Axial Compression

Interaction per Cl Q1.6 in load case 4 (compression + bending):

\frac{f_{a}}{F_{a}} = 0.145 < 0.15

(Eq. Q1.6-2)

\frac{f_{a}}{SFC \times F_{a}} + \frac{f_{b y}}{SMY \times F_{b y}} + \frac{f_{b z}}{SMZ \times F_{b z}} = \frac{2.49}{1.3 \times 17.08} + \frac{0}{1.4 \times 23.76} + \frac{9.17}{1.4 \times 23.76} = 0.388

Shear

Actual shear (at supports):

f_{v,y} = \frac{5 w \times l}{8} = \frac{5 \times 0.315 \times 10}{8} = 1.97 kip

Shear area (calculated as per Gere & Timoshenko reference):

A_{z} = \frac{\frac{π}{4} ({r_{2}}^{4} - {r_{1}}^{4}) \times 2 (r_{2} - r_{1})}{\frac{2}{3} ({r_{2}}^{3} - {r_{2}}^{3})}

where

$r_{1}$	=	the inner radius of the pipe = 5.56 / 2 - 0.24 = 2.54 in
$r_{2}$	=	the outer radius of the pipe = 5.56 / 2 = 2.78 in

Thus, the shear area along both axes = 2.008 in².

F_{vy} = \frac{F_{v,y}}{A_{y}} = \frac{1.97}{2.008} = 0.98 ksi

(shear stress in major axis = 0)

The allowable shear stress:

F_{v} = 0.4 F_{y} = 14.4 ksi

Stress ratio in Y (minor axis): 0.98/14.4 = 0.068, hence OK.

Results

Table 1. Comparison of results
Parameter	Hand Calculation	STAAD.Pro	Difference
Slenderness ratio	63.56	63.55	negligible
Actual axial tensile stress (ksi)	2.49	2.49	none
Allowable axial tensile stress (ksi)	21.6	21.6	none
Tensile stress ratio (LC1)	0.115	0.115	none
Actual axial compressive stress (ksi)	2.49	2.49	none
Allowable axial compressive stress (ksi)	17.08	17.08	none
Compressive stress ratio (LC2)	0.146	0.146	none
Allowable bending stress (ksi)	23.76	23.8	negligible
Actual bending stress (ksi)	9.17	9.15	negligible
Combined axial tension and bending stress ratio (LC3)	0.364	0.363	negligible
Combined axial compression and bending stress ratio (LC4)	0.388	0.386	negligible
Allowable shear stress (ksi)	14.4	14.4	none
Actual shear stress (ksi)	0.98	0.97	negligible
Shear stress ratio, Y	0.068	0.067	negligible

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC N690 1994 Pipe Section With SLC.std is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 05-Apr-19
END JOB INFORMATION
INPUT WIDTH 79
SET SHEAR
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 10 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+006
POISSON 0.3
DENSITY 0.489024
ALPHA 1.2e-005
DAMP 0.03
END DEFINE MATERIAL
UNIT INCHES KIP
MEMBER PROPERTY AMERICAN
1 TABLE ST PIPS50
UNIT FEET KIP
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
2 FIXED BUT FX
LOAD 1 TENSION ONLY
JOINT LOAD
2 FX 10
LOAD 2 COMPRESSION ONLY
JOINT LOAD
2 FX -10
LOAD 3 TENSION+BENDING
SELFWEIGHT Y -1
MEMBER LOAD
1 UNI GY -0.3
JOINT LOAD
2 FX 10
LOAD 4 COMPRESSION+BENDING
SELFWEIGHT Y -1
MEMBER LOAD
1 UNI GY -0.3
JOINT LOAD
2 FX -10
PERFORM ANALYSIS PRINT LOAD DATA
PRINT MEMBER PROPERTIES ALL
UNIT INCHES KIP
*
LOAD LIST 1
PARAMETER 1
CODE AISC N690 1994
CB 1 ALL
CMY 1 ALL
CMZ 1 ALL
FYLD 36 ALL
FU 58 ALL
KY 1 ALL
KZ 1 ALL
MAIN 200 ALL
NSF 1 ALL
RATIO 1 ALL
TMAIN 300 ALL
TRACK 2 ALL
UNB 30 ALL
UNT 30 ALL
CT 0.75 ALL
CHECK CODE ALL
*
LOAD LIST 2
PARAMETER 2
CODE AISC N690 1994
CB 1 ALL
CMY 1 ALL
CMZ 1 ALL
FYLD 36 ALL
FU 58 ALL
KY 1 ALL
KZ 1 ALL
MAIN 200 ALL
NSF 1 ALL
RATIO 1 ALL
TMAIN 300 ALL
TRACK 2 ALL
UNB 30 ALL
UNT 30 ALL
CT 0.75 ALL
CHECK CODE ALL
*
LOAD LIST 3
PARAMETER 3
CODE AISC N690 1994
CB 1 ALL
CMY 1 ALL
CMZ 1 ALL
FYLD 36 ALL
FU 58 ALL
KY 1 ALL
KZ 1 ALL
MAIN 200 ALL
NSF 1 ALL
RATIO 1 ALL
SMZ 1.4 ALL
SMY 1.4 ALL
SFT 1.3 ALL
SFC 1.3 ALL
TMAIN 300 ALL
TRACK 2 ALL
UNB 30 ALL
UNT 30 ALL
CT 0.75 ALL
CHECK CODE ALL
*
LOAD LIST 4
PARAMETER 4
CODE AISC N690 1994
CB 1 ALL
CMY 1 ALL
CMZ 1 ALL
FYLD 36 ALL
FU 58 ALL
KY 1 ALL
KZ 1 ALL
MAIN 200 ALL
NSF 1 ALL
RATIO 1 ALL
SMZ 1.4 ALL
SMY 1.4 ALL
SFT 1.3 ALL
SFC 1.3 ALL
TMAIN 300 ALL
TRACK 2 ALL
UNB 30 ALL
UNT 30 ALL
CT 0.75 ALL
CHECK CODE ALL
*
LOAD LIST ALL
PARAMETER 5
CODE AISC N690 1994
CB 1 ALL
CMY 1 ALL
CMZ 1 ALL
FYLD 36 ALL
FU 58 ALL
KY 1 ALL
KZ 1 ALL
MAIN 200 ALL
NSF 1 ALL
RATIO 1 ALL
SMZ 1.4 ALL
SMY 1.4 ALL
SFT 1.3 ALL
SFC 1.3 ALL
TMAIN 300 ALL
TRACK 2 ALL
UNB 30 ALL
UNT 30 ALL
CT 0.75 ALL
CHECK CODE ALL
FINISH

STAAD Output

                       STAAD.PRO CODE CHECKING - (  ANSI N690-1994)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|   ==| |==     ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |     | |       AX =   4.01  |
  |            *  | ST  PIPS50                  |     | |  --Z  AY =   2.02  |
  |DESIGN CODE *  |                             |     | |       AZ =   2.02  |
  |ANSI N690-94*  ===============================   ==| |==     SY =   5.14  |
  |            *                                                SZ =   5.14  |
  |            *  |&lt;---LENGTH (FT)=   10.00 --->|               RY =   1.89  |
  |*************                                                RZ =   1.89  |
  |                                                                          |
  |                  0.0 (KIP-FEET)                                          |
  |PARAMETER        |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  STRESSES     |
  |IN KIP  INCH     |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  IN KIP  INCH |
  |---------------  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  -------------|
  | KL/R-Y=  63.55  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FA  =  21.60 |
  | KL/R-Z=  63.55  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  fa  =   2.49 |
  | UNL   =  30.00  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FCZ =  23.76 |
  | CB    =   1.00  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FTZ =  23.76 |
  | CMY   =   1.00  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FCY =  23.76 |
  | CMZ   =   1.00  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FTY =  23.76 |
  | FYLD  =  36.00  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  fbz =   0.00 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00   0.0                                        Fey =  36.98 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez =  36.98 |
  | (KL/R)max =  63.55              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   0.00 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE     -10.0         0.0        0.0         0.0         0.0      |
  |   LOCATION       0.0         0.0        0.0         0.0         0.0      |
  |    LOADING         1           0          0           0           0      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        ANSI Q1.6-3      0.115              1               |
  |         10.00 T          0.00         0.00             0.00              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    7
    70. *
    71. LOAD LIST 2
    72. PARAMETER 2
    73. CODE AISC N690 1994
    74. CB 1 ALL
    75. CMY 1 ALL
    76. CMZ 1 ALL
    77. FYLD 36 ALL
    78. FU 58 ALL
    79. KY 1 ALL
    80. KZ 1 ALL
    81. MAIN 200 ALL
    82. NSF 1 ALL
    83. RATIO 1 ALL
    84. TMAIN 300 ALL
    85. TRACK 2 ALL
    86. UNB 30 ALL
    87. UNT 30 ALL
    88. CT 0.75 ALL
    89. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.    8
                       STAAD.PRO CODE CHECKING - (  ANSI N690-1994)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|   ==| |==     ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |     | |       AX =   4.01  |
  |            *  | ST  PIPS50                  |     | |  --Z  AY =   2.02  |
  |DESIGN CODE *  |                             |     | |       AZ =   2.02  |
  |ANSI N690-94*  ===============================   ==| |==     SY =   5.14  |
  |            *                                                SZ =   5.14  |
  |            *  |&lt;---LENGTH (FT)=   10.00 --->|               RY =   1.89  |
  |*************                                                RZ =   1.89  |
  |                                                                          |
  |                  0.0 (KIP-FEET)                                          |
  |PARAMETER        |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  STRESSES     |
  |IN KIP  INCH     |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  IN KIP  INCH |
  |---------------  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  -------------|
  | KL/R-Y=  63.55  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FA  =  17.08 |
  | KL/R-Z=  63.55  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  fa  =   2.49 |
  | UNL   =  30.00  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FCZ =  23.76 |
  | CB    =   1.00  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FTZ =  23.76 |
  | CMY   =   1.00  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FCY =  23.76 |
  | CMZ   =   1.00  +L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  FTY =  23.76 |
  | FYLD  =  36.00  |L0 L0  L0  L0  L0  L0  L0  L0  L0  L0  L0  fbz =   0.00 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00   0.0                                        Fey =  36.98 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez =  36.98 |
  | (KL/R)max =  63.55              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   0.00 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE      10.0         0.0        0.0         0.0         0.0      |
  |   LOCATION       0.0         0.0        0.0         0.0         0.0      |
  |    LOADING         2           0          0           0           0      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        ANSI Q1.6-2      0.146              2               |
  |         10.00 C          0.00         0.00             0.00              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.    9
    90. *
    91. LOAD LIST 3
    92. PARAMETER 3
    93. CODE AISC N690 1994
    94. CB 1 ALL
    95. CMY 1 ALL
    96. CMZ 1 ALL
    97. FYLD 36 ALL
    98. FU 58 ALL
    99. KY 1 ALL
   100. KZ 1 ALL
   101. MAIN 200 ALL
   102. NSF 1 ALL
   103. RATIO 1 ALL
   104. SMZ 1.4 ALL
   105. SMY 1.4 ALL
   106. SFT 1.3 ALL
   107. SFC 1.3 ALL
   108. TMAIN 300 ALL
   109. TRACK 2 ALL
   110. UNB 30 ALL
   111. UNT 30 ALL
   112. CT 0.75 ALL
   113. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.   10
                       STAAD.PRO CODE CHECKING - (  ANSI N690-1994)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|   ==| |==     ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |     | |       AX =   4.01  |
  |            *  | ST  PIPS50                  |     | |  --Z  AY =   2.02  |
  |DESIGN CODE *  |                             |     | |       AZ =   2.02  |
  |ANSI N690-94*  ===============================   ==| |==     SY =   5.14  |
  |            *                                                SZ =   5.14  |
  |            *  |&lt;---LENGTH (FT)=   10.00 --->|               RY =   1.89  |
  |*************                                                RZ =   1.89  |
  |                                                                          |
  |                  3.9 (KIP-FEET)                                          |
  |PARAMETER        |                                       L3  STRESSES     |
  |IN KIP  INCH     |                                           IN KIP  INCH |
  |---------------  +                                           -------------|
  | KL/R-Y=  63.55  |                                   L3      FA  =  21.60 |
  | KL/R-Z=  63.55  +               L3                          fa  =   2.49 |
  | UNL   =  30.00  |           L3      L3                      FCZ =  23.76 |
  | CB    =   1.00  +       L3              L3                  FTZ =  23.76 |
  | CMY   =   1.00  |   L3                          L3          FCY =  23.76 |
  | CMZ   =   1.00  +                                           FTY =  23.76 |
  | FYLD  =  36.00  |L0                         L0              fbz =   9.15 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -0.2                                        Fey =  36.98 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez =  36.98 |
  | (KL/R)max =  63.55              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   0.97 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE     -10.0         2.0        0.0         0.0         3.9      |
  |   LOCATION       0.0        10.0        0.0         0.0        10.0      |
  |    LOADING         3           3          0           0           3      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        ANSI Q1.6-3      0.364              3               |
  |         10.00 T          0.00         3.92            10.00              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   11
   114. *
   115. LOAD LIST 4
   116. PARAMETER 4
   117. CODE AISC N690 1994
   118. CB 1 ALL
   119. CMY 1 ALL
   120. CMZ 1 ALL
   121. FYLD 36 ALL
   122. FU 58 ALL
   123. KY 1 ALL
   124. KZ 1 ALL
   125. MAIN 200 ALL
   126. NSF 1 ALL
   127. RATIO 1 ALL
   128. SMZ 1.4 ALL
   129. SMY 1.4 ALL
   130. SFT 1.3 ALL
   131. SFC 1.3 ALL
   132. TMAIN 300 ALL
   133. TRACK 2 ALL
   134. UNB 30 ALL
   135. UNT 30 ALL
   136. CT 0.75 ALL
   137. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.   12
                       STAAD.PRO CODE CHECKING - (  ANSI N690-1994)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|   ==| |==     ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |     | |       AX =   4.01  |
  |            *  | ST  PIPS50                  |     | |  --Z  AY =   2.02  |
  |DESIGN CODE *  |                             |     | |       AZ =   2.02  |
  |ANSI N690-94*  ===============================   ==| |==     SY =   5.14  |
  |            *                                                SZ =   5.14  |
  |            *  |&lt;---LENGTH (FT)=   10.00 --->|               RY =   1.89  |
  |*************                                                RZ =   1.89  |
  |                                                                          |
  |                  3.9 (KIP-FEET)                                          |
  |PARAMETER        |                                       L4  STRESSES     |
  |IN KIP  INCH     |                                           IN KIP  INCH |
  |---------------  +                                           -------------|
  | KL/R-Y=  63.55  |                                   L4      FA  =  17.08 |
  | KL/R-Z=  63.55  +               L4                          fa  =   2.49 |
  | UNL   =  30.00  |           L4      L4                      FCZ =  23.76 |
  | CB    =   1.00  +       L4              L4                  FTZ =  23.76 |
  | CMY   =   1.00  |   L4                          L4          FCY =  23.76 |
  | CMZ   =   1.00  +                                           FTY =  23.76 |
  | FYLD  =  36.00  |L0                         L0              fbz =   9.15 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -0.2                                        Fey =  36.98 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez =  36.98 |
  | (KL/R)max =  63.55              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   0.97 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE      10.0         2.0        0.0         0.0         3.9      |
  |   LOCATION       0.0        10.0        0.0         0.0        10.0      |
  |    LOADING         4           4          0           0           4      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        ANSI Q1.6-2      0.387              4               |
  |         10.00 C          0.00         3.92            10.00              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|
      STAAD SPACE                                              -- PAGE NO.   13
   138. *
   139. LOAD LIST ALL
   140. PARAMETER 5
   141. CODE AISC N690 1994
   142. CB 1 ALL
   143. CMY 1 ALL
   144. CMZ 1 ALL
   145. FYLD 36 ALL
   146. FU 58 ALL
   147. KY 1 ALL
   148. KZ 1 ALL
   149. MAIN 200 ALL
   150. NSF 1 ALL
   151. RATIO 1 ALL
   152. SMZ 1.4 ALL
   153. SMY 1.4 ALL
   154. SFT 1.3 ALL
   155. SFC 1.3 ALL
   156. TMAIN 300 ALL
   157. TRACK 2 ALL
   158. UNB 30 ALL
   159. UNT 30 ALL
   160. CT 0.75 ALL
   161. CHECK CODE ALL
 STEEL DESIGN    
      STAAD SPACE                                              -- PAGE NO.   14
                       STAAD.PRO CODE CHECKING - (  ANSI N690-1994)   v1.0
                       ********************************************
  |--------------------------------------------------------------------------|
  |                                                    Y        PROPERTIES   |
  |*************                                       |        IN INCH UNIT |
  |            *  |=============================|   ==| |==     ------------ |
  |MEMBER   1  *  |  AISC SECTIONS              |     | |       AX =   4.01  |
  |            *  | ST  PIPS50                  |     | |  --Z  AY =   2.02  |
  |DESIGN CODE *  |                             |     | |       AZ =   2.02  |
  |ANSI N690-94*  ===============================   ==| |==     SY =   5.14  |
  |            *                                                SZ =   5.14  |
  |            *  |&lt;---LENGTH (FT)=   10.00 --->|               RY =   1.89  |
  |*************                                                RZ =   1.89  |
  |                                                                          |
  |                  3.9 (KIP-FEET)                                          |
  |PARAMETER        |                                       L3  STRESSES     |
  |IN KIP  INCH     |                                           IN KIP  INCH |
  |---------------  +                                           -------------|
  | KL/R-Y=  63.55  |                                   L3      FA  =  17.08 |
  | KL/R-Z=  63.55  +               L3                          fa  =   2.49 |
  | UNL   =  30.00  |           L3      L3                      FCZ =  23.76 |
  | CB    =   1.00  +       L3              L3                  FTZ =  23.76 |
  | CMY   =   1.00  |   L3                          L3          FCY =  23.76 |
  | CMZ   =   1.00  +                                           FTY =  23.76 |
  | FYLD  =  36.00  |L0                         L0              fbz =   9.15 |
  | NSF   =   1.00  +---+---+---+---+---+---+---+---+---+---|   fby =   0.00 |
  | DFF   =   0.00  -0.2                                        Fey =  36.98 |
  | dff=      0.00               ABSOLUTE MZ ENVELOPE           Fez =  36.98 |
  | (KL/R)max =  63.55              (WITH LOAD NO.)             FV  =  14.40 |
  |                                                             fv  =   0.97 |
  |                                                                          |
  |                      MAX FORCE/ MOMENT SUMMARY  (KIP-FEET)               |
  |                      -------------------------                           |
  |                                                                          |
  |                AXIAL      SHEAR-Y    SHEAR-Z    MOMENT-Y    MOMENT-Z     |
  |                                                                          |
  |      VALUE     -10.0         2.0        0.0         0.0         3.9      |
  |   LOCATION       0.0        10.0        0.0         0.0        10.0      |
  |    LOADING         1           3          0           0           3      |
  |                                                                          |
  |**************************************************************************|
  |*                                                                        *|
  |*                         DESIGN SUMMARY  (KIP-FEET)                     *|
  |*                         --------------                                 *|
  |*                                                                        *|
  |*       RESULT/     CRITICAL COND/     RATIO/         LOADING/           *|
  |         FX              MY             MZ           LOCATION             |
  |        ======================================================            |
  |          PASS        ANSI Q1.6-2      0.387              4               |
  |         10.00 C          0.00         3.92            10.00              |
  |*                                                                        *|
  |                                                                          |
  |--------------------------------------------------------------------------|