, CONTENTS
Please note that there are no solutions for Chapters 1 through 4. Solutions begin
with Chapter 5.
Chapter 5 Flexure in Beams, 1–41
Chapter 6 Shear and Diagonal Tension in Beams, 42–82
Chapter 7 Torsion, 83–111
Chapter 8 Serviceability of Beams and One-Way Slabs, 112–143
Chapter 9 Combined Compression and Bending: Columns, 144–205
Chapter 10 Bond Development of Reinforcing Bars, 206–221
Chapter 11 Design of Two-Way Slabs and Plates, 222–262
Chapter 12 Footings, 263–281
Chapter 13 Continuous Reinforced Concrete Structures, 282–312
Chapter 14 Introduction to Prestressed Concrete, 313–329
Chapter 15 LRFD AASHTO Design of Concrete Bridge Structures, 330–368
Chapter 16 Seismic Design of Concrete Structures, 369–395
Chapter 17 Strength Design of Masonry Structures, 396–421
iii
,v
, 5.1. For the beam cross-section shown in Fig. 5.33 determine whether the failure of the beam will be initiated by
crushing of concrete or yielding of steel. Given:
f ¿c 3000 psi 120.7 MPa2 for case 1a2, As 1 in.2
f ¿c 6000 psi 141.4 MPa2 for case 1b2, As 6 in.2
fy 60,000 psi 1414 MPa2
Also determine whether the section satisfies ACI Code requirements.
Figure 5.33
Solution:
(a) The following information is given:
b = 8 in. section width
d = 18 in. section depth
dt = 16 in. depth to reinforcement
fc = 3000 psi required compression strength
fy = 60,000 psi steel strength
As = 1 in2 steel area
First, determine the value for 1 using equation 5.9.
1 = 0.85 2500 f c 4000
Then calculate the depth of the compression block.
As f y
a =
0.85 f c b
(1)(60,000)
=
0.85(3000)(8)
= 2.94 in
1
1
Please note that there are no solutions for Chapters 1 through 4. Solutions begin
with Chapter 5.
Chapter 5 Flexure in Beams, 1–41
Chapter 6 Shear and Diagonal Tension in Beams, 42–82
Chapter 7 Torsion, 83–111
Chapter 8 Serviceability of Beams and One-Way Slabs, 112–143
Chapter 9 Combined Compression and Bending: Columns, 144–205
Chapter 10 Bond Development of Reinforcing Bars, 206–221
Chapter 11 Design of Two-Way Slabs and Plates, 222–262
Chapter 12 Footings, 263–281
Chapter 13 Continuous Reinforced Concrete Structures, 282–312
Chapter 14 Introduction to Prestressed Concrete, 313–329
Chapter 15 LRFD AASHTO Design of Concrete Bridge Structures, 330–368
Chapter 16 Seismic Design of Concrete Structures, 369–395
Chapter 17 Strength Design of Masonry Structures, 396–421
iii
,v
, 5.1. For the beam cross-section shown in Fig. 5.33 determine whether the failure of the beam will be initiated by
crushing of concrete or yielding of steel. Given:
f ¿c 3000 psi 120.7 MPa2 for case 1a2, As 1 in.2
f ¿c 6000 psi 141.4 MPa2 for case 1b2, As 6 in.2
fy 60,000 psi 1414 MPa2
Also determine whether the section satisfies ACI Code requirements.
Figure 5.33
Solution:
(a) The following information is given:
b = 8 in. section width
d = 18 in. section depth
dt = 16 in. depth to reinforcement
fc = 3000 psi required compression strength
fy = 60,000 psi steel strength
As = 1 in2 steel area
First, determine the value for 1 using equation 5.9.
1 = 0.85 2500 f c 4000
Then calculate the depth of the compression block.
As f y
a =
0.85 f c b
(1)(60,000)
=
0.85(3000)(8)
= 2.94 in
1
1
