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SOLUTIONS
, @SOLUTIONSSTUDY
Solutions Manual
to Structural
Loads
2012 IBC and ASCE/SEI 7-10
This Solutions Manual was developed as a companion to the Structural Loads: 2012 IBC and
ASCE/SEI 7-10 textbook. To increase understanding of this material and for its most
effective use, readers should study the Structural Loads textbook and reference the
material as they read through this Solutions Manual.
To order additional copies of the Structural Loads textbook, click here.
, CHAPTER 2
Load Combinations
2.1. Determine the strength design load combinations for a reinforced
concrete beam on a typical floor of a multistory residential building using
the nominal bending moments in Table 2.11. All bending moments are in
foot-kips. Assume the live load on the floor is less than 100 psf.
Table 2.11 Design Data for Problem 2.1
External Negative Positive Interior Negative
Dead load, D –13.3 43.9 –53.2
Live load, L –12.9 42.5 –51.6
SOLUTION
Table P2.1 Summary of Load Combinations Using Strength Design for Beam in
Problem 2.1
Load Combination
IBC Equation No. Equation Exterio Interio
Positive
r r
Negativ Negativ
e e
16-1 1.4D –18.6 61.5 –74.5
16-2 1.2D + 1.6L –36.6 120.7 –146.4
16-3, 16-4, 16-5 1.2D + 0.5L –22.4 73.9 –89.6
16-6, 16-7 0.9D –12.0 39.5 –47.9
2.2. Determine the strength design load combinations for a steel beam that is
part of an ordinary moment frame in an office building using the nominal
bending moments and shear forces in Table 2.12. All bending moments
are in foot-kips and all shear forces are in kips. Assume the live load on
the floor is less than 100 psf.
Table 2.12 Design Data for Problem 2.2
Bending Moment Shear Force
Support Midspan Support
Dead load, D –57.6 41.1 11.8
Live load, L –22.5 16.2 4.6
Wind, W 54.0 --- 4.8
1
, 2 Solutions Manual to Structural Loads
SOLUTION
Table P2.2 Summary of Load Combinations Using Strength Design for Beam in
Problem 2.2
Load Combination
IBC
Equation Bending Moment Shear Force
Equati
on No. Support Midspan Support
16-1 1.4D –80.6 57.5 16.5
16-2 1.2D + 1.6L –105.1 75.2 21.5
1.2D + 0.5L –80.4 57.4 16.5
16-3 1.2D + 0.5W –42.1 49.3 11.8
1.2D – 0.5W –96.1 49.3 16.6
1.2D + 1.0W + 0.5L –26.4 57.4 11.7
16-4
1.2D – 1.0W + 0.5L –134.4 57.4 21.3
16-5 1.2D + 0.5L –80.4 57.4 16.5
0.9D + 1.0W 2.2 37.0 5.8
16-6
0.9D – 1.0W –105.8 37.0 15.4
16-7 0.9D –51.8 37.0 10.6
2.3. Given the information in Problem 2.2, determine the basic allowable
stress design load combinations.
SOLUTION
Table P2.3 Summary of Load Combinations Using Basic Allowable Stress Design
for Beam in Problem 2.3
Load Combination
IBC
Equation Bending Moment Shear Force
Equati
on No. Support Midspan Support
16-8, 16-10 D –57.6 41.1 11.8
16-9 D+L –80.1 57.3 16.4
16-11, 16-14 D + 0.75L –74.5 53.3 15.3
D + 0.6W –25.2 41.1 8.9
16-12
D – 0.6W –90.0 41.1 14.7
D + 0.75(0.6W) + 0.75L –50.2 53.3 13.1
16-13
D – 0.75(0.6W) + 0.75L –98.8 53.3 17.4
0.6D + 0.6W –2.2 24.7 4.2
16-15
0.6D – 0.6W –67.0 24.7 10.0
16-16 0.6D –34.6 24.7 7.1
SOLUTIONS
, @SOLUTIONSSTUDY
Solutions Manual
to Structural
Loads
2012 IBC and ASCE/SEI 7-10
This Solutions Manual was developed as a companion to the Structural Loads: 2012 IBC and
ASCE/SEI 7-10 textbook. To increase understanding of this material and for its most
effective use, readers should study the Structural Loads textbook and reference the
material as they read through this Solutions Manual.
To order additional copies of the Structural Loads textbook, click here.
, CHAPTER 2
Load Combinations
2.1. Determine the strength design load combinations for a reinforced
concrete beam on a typical floor of a multistory residential building using
the nominal bending moments in Table 2.11. All bending moments are in
foot-kips. Assume the live load on the floor is less than 100 psf.
Table 2.11 Design Data for Problem 2.1
External Negative Positive Interior Negative
Dead load, D –13.3 43.9 –53.2
Live load, L –12.9 42.5 –51.6
SOLUTION
Table P2.1 Summary of Load Combinations Using Strength Design for Beam in
Problem 2.1
Load Combination
IBC Equation No. Equation Exterio Interio
Positive
r r
Negativ Negativ
e e
16-1 1.4D –18.6 61.5 –74.5
16-2 1.2D + 1.6L –36.6 120.7 –146.4
16-3, 16-4, 16-5 1.2D + 0.5L –22.4 73.9 –89.6
16-6, 16-7 0.9D –12.0 39.5 –47.9
2.2. Determine the strength design load combinations for a steel beam that is
part of an ordinary moment frame in an office building using the nominal
bending moments and shear forces in Table 2.12. All bending moments
are in foot-kips and all shear forces are in kips. Assume the live load on
the floor is less than 100 psf.
Table 2.12 Design Data for Problem 2.2
Bending Moment Shear Force
Support Midspan Support
Dead load, D –57.6 41.1 11.8
Live load, L –22.5 16.2 4.6
Wind, W 54.0 --- 4.8
1
, 2 Solutions Manual to Structural Loads
SOLUTION
Table P2.2 Summary of Load Combinations Using Strength Design for Beam in
Problem 2.2
Load Combination
IBC
Equation Bending Moment Shear Force
Equati
on No. Support Midspan Support
16-1 1.4D –80.6 57.5 16.5
16-2 1.2D + 1.6L –105.1 75.2 21.5
1.2D + 0.5L –80.4 57.4 16.5
16-3 1.2D + 0.5W –42.1 49.3 11.8
1.2D – 0.5W –96.1 49.3 16.6
1.2D + 1.0W + 0.5L –26.4 57.4 11.7
16-4
1.2D – 1.0W + 0.5L –134.4 57.4 21.3
16-5 1.2D + 0.5L –80.4 57.4 16.5
0.9D + 1.0W 2.2 37.0 5.8
16-6
0.9D – 1.0W –105.8 37.0 15.4
16-7 0.9D –51.8 37.0 10.6
2.3. Given the information in Problem 2.2, determine the basic allowable
stress design load combinations.
SOLUTION
Table P2.3 Summary of Load Combinations Using Basic Allowable Stress Design
for Beam in Problem 2.3
Load Combination
IBC
Equation Bending Moment Shear Force
Equati
on No. Support Midspan Support
16-8, 16-10 D –57.6 41.1 11.8
16-9 D+L –80.1 57.3 16.4
16-11, 16-14 D + 0.75L –74.5 53.3 15.3
D + 0.6W –25.2 41.1 8.9
16-12
D – 0.6W –90.0 41.1 14.7
D + 0.75(0.6W) + 0.75L –50.2 53.3 13.1
16-13
D – 0.75(0.6W) + 0.75L –98.8 53.3 17.4
0.6D + 0.6W –2.2 24.7 4.2
16-15
0.6D – 0.6W –67.0 24.7 10.0
16-16 0.6D –34.6 24.7 7.1
