Solution Manual for Design of Reinforced Concrete, 10th
Edition
As - ANSWERSthe area of reinforcement on the tension side [in2]
A's - ANSWERSthe area of reinforcement on the compression side [in2]
b - ANSWERSthe width of the compression zone
be - ANSWERSthe width of the flange
bw - ANSWERSthe width of the web
d, effective depth - ANSWERSthe distance from the extreme fiber in compression to the
centroid of the longitudinal reinforcement on the tension side [in]
d', effective cover - ANSWERSthe distance from the extreme fiber in compression to the
centroid of the longitudinal reinforcement on the compression side [in]
dt - ANSWERSthe distance from the extreme fiber in compression to the farthest layer of steel
on the tension side [in]
- ANSWERSoverall height of a beam cross section
jxd
(j = a dimensional ratio) - ANSWERSthe lever arm, the distance between the resultant
compressive force and the resultant tensile force [in]
,f'c - ANSWERSthe specified compressive strength of concrete [psi]
fc - ANSWERSthe stress of concrete [psi]
Epsilon c - ANSWERSthe strain of concrete
Epsilon cu - ANSWERSthe assumed maximum useable compression strain in the concrete
fy - ANSWERSthe specified yield strength of the reinforcement [psi]
fs - ANSWERSthe stress of the tension reinforcement [psi]
Epsilon s - ANSWERSthe strain in the tension reinforcement
(eqn)
Net tensile strain in the extreme tension steel, (Epsilon t) - ANSWERSthe strain in the extreme
layer of tension reinforcement
rho - ANSWERSthe longitudinal tension reinforcement ratio
= As/bd
b (whitney stress block) - ANSWERSwidth of compression zone
c (whitney stress block) - ANSWERScover dimension
, depth to neutral axis
c=
Concrete compression force, Cc - ANSWERSCc = 0.85(β1)(fc')(b)(c)
Steel Tension Force - ANSWERST = Asfy
a - ANSWERSdepth of stress block
a = (β1)(c) =
Steps for nominal moment capacity of singly reinforced beam sections - ANSWERS1. Compute
the steel tension force, T
2. Compute the area of compression stress block, Cc
a=
rho =
3. Check that the assumption in step 1 is valid, Es > . Ey
4. Compute Mn
5. Check the As,min
Nominal moment, Mn
Singly Reinforced - ANSWERS
As,min - ANSWERS
Epsilon y - ANSWERSYield strain
= fy/Es
Edition
As - ANSWERSthe area of reinforcement on the tension side [in2]
A's - ANSWERSthe area of reinforcement on the compression side [in2]
b - ANSWERSthe width of the compression zone
be - ANSWERSthe width of the flange
bw - ANSWERSthe width of the web
d, effective depth - ANSWERSthe distance from the extreme fiber in compression to the
centroid of the longitudinal reinforcement on the tension side [in]
d', effective cover - ANSWERSthe distance from the extreme fiber in compression to the
centroid of the longitudinal reinforcement on the compression side [in]
dt - ANSWERSthe distance from the extreme fiber in compression to the farthest layer of steel
on the tension side [in]
- ANSWERSoverall height of a beam cross section
jxd
(j = a dimensional ratio) - ANSWERSthe lever arm, the distance between the resultant
compressive force and the resultant tensile force [in]
,f'c - ANSWERSthe specified compressive strength of concrete [psi]
fc - ANSWERSthe stress of concrete [psi]
Epsilon c - ANSWERSthe strain of concrete
Epsilon cu - ANSWERSthe assumed maximum useable compression strain in the concrete
fy - ANSWERSthe specified yield strength of the reinforcement [psi]
fs - ANSWERSthe stress of the tension reinforcement [psi]
Epsilon s - ANSWERSthe strain in the tension reinforcement
(eqn)
Net tensile strain in the extreme tension steel, (Epsilon t) - ANSWERSthe strain in the extreme
layer of tension reinforcement
rho - ANSWERSthe longitudinal tension reinforcement ratio
= As/bd
b (whitney stress block) - ANSWERSwidth of compression zone
c (whitney stress block) - ANSWERScover dimension
, depth to neutral axis
c=
Concrete compression force, Cc - ANSWERSCc = 0.85(β1)(fc')(b)(c)
Steel Tension Force - ANSWERST = Asfy
a - ANSWERSdepth of stress block
a = (β1)(c) =
Steps for nominal moment capacity of singly reinforced beam sections - ANSWERS1. Compute
the steel tension force, T
2. Compute the area of compression stress block, Cc
a=
rho =
3. Check that the assumption in step 1 is valid, Es > . Ey
4. Compute Mn
5. Check the As,min
Nominal moment, Mn
Singly Reinforced - ANSWERS
As,min - ANSWERS
Epsilon y - ANSWERSYield strain
= fy/Es
