find the reactions and maximum shear and bending moment. However, you should be able to find these values using equations of equilibrium and shear and bending moment diagrams. Draw the FBD of beam B2 based on tributary load analysis for the given loading and floor span direction. Show the applied load and find the reactions Report the maximum shear (kip) in beam B2. Report the maximum bending moment (kip-ft) in beam B2. Answer: Mmaz=126 kip-ft

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Chapter5: Beams
Section: Chapter Questions
Problem 5.6.3P
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The floor plan of a building in the preliminary stages of design is shown below. The floor supports a 140 ps uniform load. The connections between all members are simple shear connections (shear tabs).

 

find the reactions and maximum shear and bending moment. However, you should be able to find these values using equations of equilibrium and shear and bending moment diagrams.

  1. Draw the FBD of beam B2 based on tributary load analysis for the given loading and floor span direction. Show the applied load and find the reactions
  2. Report the maximum shear (kip) in beam B2.
  3. Report the maximum bending moment (kip-ft) in beam B2.
    Answer: Mmaz=126 kip-ft
  4. Draw the FBD of girder G2. Show the applied loads and find the reactions of G2.
    Note that six beams like B2 are connected to G2 one on each side of the girder at the three connection points shown in the figure.
  5. Report the maximum shear (kip) in girder G2.
  6. Report the maximum bending moment (kip-ft) in girder G2.
    Answer: Mmar=504 kip-f
H
I
-E
30 ft
C1
I
G1
C2
-I
G2
-I
B1
B2
Floor
Span
30 ft
-I
C3
-I
408 ft
408 ft
Transcribed Image Text:H I -E 30 ft C1 I G1 C2 -I G2 -I B1 B2 Floor Span 30 ft -I C3 -I 408 ft 408 ft
n
2
3
4
5
Table 3-22a
Concentrated Load Equivalents
Loading
(
P
¡¡
PPP
PPPP
Coeff.
a
b
с
d
e
f
9
a
POUE
b
с
d
e
f
9
BDCDC
a
b
с
d
e
f
g
a
18Q3UB
b
C
d
e
f
9
a
b
с
d
e
f
9
Maximum positive moment (kip-ft): aPL
Maximum negative moment (kip-ft): bPL
Pinned end reaction (kips): CP
Fixed end reaction (kips): dP
Maximum deflection (in.): @P3 / El
Simple
Beam
0.125
0.500
0.013
1.000
1.000
0.250
0.500
0.021
2.000
0.800
0.333
1.000
0.036
2.667
1.022
0.500
1.500
0.050
4.000
0.950
0.600
2.000
0.063
4.800
1.008
Beam Fixed One
End, Supported
at Other
Span of beam (ft): L
Span of beam (in): /
0.070
0.125
0.375
0.625
0.005
1.000
0.415
0.156
0.188
0.313
0.688
0.009
1.500
0.477
0.222
0.333
0.667
1.333
0.015
2.667
0.438
0.266
0.469
1.031
1.969
0.021
3.750
0.428
0.360
0.600
1.400
2.600
0.027
4.800
0.424
Beam Fixed
Both Ends
1
0.042
0.083
0.500
0.003
0.667
0.300
0.125
0.125
0.500
0.005
1.000
0.400
0.111
0.222
1.000
0.008
1.778
0.333
0.188
0.313
1.500
0.010
2.500
0.320
0.200
0.400
2.000
0.013
3.200
0.312
Equivalent simple span uniform load (kips): fp
Deflection coefficient for equivalent simple span uniform load: g
Number of equal load spaces: n
Transcribed Image Text:n 2 3 4 5 Table 3-22a Concentrated Load Equivalents Loading ( P ¡¡ PPP PPPP Coeff. a b с d e f 9 a POUE b с d e f 9 BDCDC a b с d e f g a 18Q3UB b C d e f 9 a b с d e f 9 Maximum positive moment (kip-ft): aPL Maximum negative moment (kip-ft): bPL Pinned end reaction (kips): CP Fixed end reaction (kips): dP Maximum deflection (in.): @P3 / El Simple Beam 0.125 0.500 0.013 1.000 1.000 0.250 0.500 0.021 2.000 0.800 0.333 1.000 0.036 2.667 1.022 0.500 1.500 0.050 4.000 0.950 0.600 2.000 0.063 4.800 1.008 Beam Fixed One End, Supported at Other Span of beam (ft): L Span of beam (in): / 0.070 0.125 0.375 0.625 0.005 1.000 0.415 0.156 0.188 0.313 0.688 0.009 1.500 0.477 0.222 0.333 0.667 1.333 0.015 2.667 0.438 0.266 0.469 1.031 1.969 0.021 3.750 0.428 0.360 0.600 1.400 2.600 0.027 4.800 0.424 Beam Fixed Both Ends 1 0.042 0.083 0.500 0.003 0.667 0.300 0.125 0.125 0.500 0.005 1.000 0.400 0.111 0.222 1.000 0.008 1.778 0.333 0.188 0.313 1.500 0.010 2.500 0.320 0.200 0.400 2.000 0.013 3.200 0.312 Equivalent simple span uniform load (kips): fp Deflection coefficient for equivalent simple span uniform load: g Number of equal load spaces: n
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