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SOLUTIONS
, CHa
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.
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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 Exterior Interior
Positive
Negative Negative
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
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, 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
Equation Bending Moment Shear Force
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
Equation Bending Moment Shear Force
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
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SOLUTIONS
, CHa
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.
@Seismicisolation
@Seismicisolation
, CHa
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 Exterior Interior
Positive
Negative Negative
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
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, 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
Equation Bending Moment Shear Force
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
Equation Bending Moment Shear Force
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
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