参考資料擁壁構造計算例

参考資料
擁壁構造計算例
‫᧦ۑ‬ቨᵓ㐀ィ⟬౛
࣭/ ᆺ᧦ቨ㸦㸧
㸦㧗ࡉ㸸P㸧
࣭/ ᆺ᧦ቨ㸦㸧
㸦㧗ࡉ㸸P㸧
࣭/ ᆺ᧦ቨ㸦㸧
㸦㧗ࡉ㸸P㸧
࣭㔜ຊᘧ᧦ቨ㸦㧗ࡉ㸸P㸧
- 83 -
84
91
98
106
≯‫׹‬ઢُ≋≔≌⅙᭗ↄ≝․† • ⦰ᑻࠉ
༢఩ࠉ㹫㹫
㹊 ᆺ ᧦ ቨ ᵓ㐀 ᅗ 㸦 ౛ 㸧
ࡓ࡚ቨ㓄➽ᅗ
⫼㠃
'
'
㸾 '#
๓㠃
'#
⿬㎸○▼
ṆỈࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
'#
ᆒࡋࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
ᇶ♏○▼㸦W 㸧
ᗏ∧㓄➽ᅗ
タィ᮲௳
㡯ࠉࠉࠉࠉ┠
༢఩
ୖ㠃
'#
᧦ቨ㧗
㹫
⫼㠃ᙧ≧
̿
Ỉᖹ
⫼㠃ᅵࡢ✀㢮
̿
◁㉁ᅵ
⫼㠃ᅵ
.1P 㕲➽ࢥࣥࢡ࣮ࣜࢺ
.1P 1ੈ ࢥࣥࢡ࣮ࣜࢺ᭤ࡆᅽ⦰ᛂຊᗘ
1ੈ ࢥࣥࢡ࣮ࣜࢺࡏࢇ᩿ᛂຊᗘ
1ੈ 㕲➽ᘬᙇᛂຊᗘ㸦6'㸧
1ੈ '
༢఩య✚㔜㔞
ࢥࣥࢡ࣮ࣜࢺタィᇶ‽ᙉᗘ
チ
ᐜ
ᛂ
ຊ
ᗘ
ୗ㠃
'
.1P ̿
ᅵᅽಀᩘ
̿
ୖ㍕Ⲵ㔜
.1P ࣇ࢙ࣥࢫⲴ㔜
.1P
̿
チᐜᨭᣢຊᗘ
ᦶ᧿ಀᩘ
'#
# ὀព஦㡯
ỈᢤᏍࡣෆᚄੈ௨ୖࡢሷࣅ⟶➼ࢆ౑⏝ࡋࠊ㸱੍࡟
㸯⟠ᡤ௨ୖタࡅࡿࠋ
ỈᢤᏍ࡟ࡣ྾ฟࡋ㜵Ṇᮦ➼ࢆタ⨨ࡍࡿࠋ
㕲➽ࡢ࠿ࡪࡾཌࡉࡣࠊࡓ࡚ቨ࡛੉௨ୖࠊᗏ∧࡛੉
௨ୖ☜ಖࡍࡿࠋ
‪…
ᵓ㐀ィ⟬౛
Ϩ㸬ᙧ≧࣭ᑍἲ
1750
2000
✚㍕Ⲵ㔜䠖q=10.000kN/m2
250
200
200
200
1300
䠄ᑍἲ䛾༢఩䠖mm䠅
1500
ϩ㸬タィ᮲௳
㡯┠
᮲௳
ᅵ㉁ࡢ✀㢮
༢఩
-
◁㉁ᅵ
17 kN/m3
༢఩య✚㔜㔞 Ț
⢓╔ຊ C
0 kN/m2
ᅵᅽಀᩘ KA
0.4 (ᨻ௧ู⾲➨஧)
-
⫼㠃ᅵ
❿ቨ㠃࡜ᅵࡢᦶ᧿ゅ Ȫ
16.933 (=2/3ȭ) °
ෆ㒊ᦶ᧿ゅȭ r࡜ࡋࡓ
ᅵ㉁᮲௳
❿ቨ⫼㠃࡜㖄┤㠃ࡢ࡞ࡍゅ Ș
0 °
ᆅ⾲㠃࡜Ỉᖹ㠃ࡢ࡞ࡍゅ ș
0 °
ᅵ㉁ࡢ✀㢮
⢓╔ຊ CB
ᨭᣢᆅ┙
0 kN/m2
㛗ᮇチᐜᛂຊᗘ qa
120
㖄┤Ⲵ㔜
✚㍕Ⲵ㔜 q
-
10 kN/m2
SD345
✀㢮
㕲➽
㛗ᮇチᐜᛂຊᗘ㸦ᘬᙇ㸧
౑⏝ᮦᩱ
kN/m2
0.4 (ᨻ௧ู⾲➨୕)
ᦶ᧿ಀᩘ ȣ
Ⲵ㔜᮲௳
-
◁㉁ᅵ
sa
215
N/mm2
༢఩య✚㔜㔞
24 kN/m3
タィᇶ‽ᙉᗘ F
24 N/mm2
ࢥࣥࢡ࣮ࣜࢺ
㛗ᮇチᐜᛂຊᗘ㸦ᅽ⦰㸧
ca
㛗ᮇチᐜᛂຊᗘ㸦ࡏࢇ᩿㸧 !ca
8 N/mm2
0.73
N/mm2
Ϫ㸬᳨ウ㡯┠
᧦ቨ㧗ࡉࡀ 5m ௨ୗ࡛࠶ࡿࡓࡵࠊᖖ᫬࡟࠾ࡅࡿ᳨ウࡢࡳ⾜࠺ࠋ
㸦㸧Ᏻᐃィ⟬
᧦ቨࡢ㌿ಽཬࡧ⁥ືࡢᏳ඲⋡ࡀ 1.5 ௨ୖ࡛࠶ࡾࠊᆅ┙࡟⏕ࡌࡿᛂຊᗘࡀᆅ┙ࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸
࠼࡞࠸ࡇ࡜ࠋ
㸦㸧㒊ᮦࡢᛂຊィ⟬
㕲➽ཬࡧࢥࣥࢡ࣮ࣜࢺ࡟⏕ࡌࡿᛂຊᗘࡀࠊࡑࢀࡒࢀࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸࠼࡞࠸ࡇ࡜ࠋ
- 85 -
ϫ㸬Ᏻᐃィ⟬
✚㍕Ⲵ㔜䠖q=10.000kN/m2
1750
2000(=h)
P1=2.000kN/m2
䐢
䐟
250
䐣
䐡
200
200
䐤
P2=15.600kN/m2
q1=10.336kN/m2
䐠
ᇶ‽Ⅼ
q2=81.951kN/m2
䠄ᑍἲ䛾༢఩䠖mm䠅
200
1300(=B’)
1500(=B)
556(=d)
194(=e)
750(=B/2)
㸦㸧Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟
ࡼࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬ᅵᅽྜຊ PA
1
1
2
PA = ×Ț×h ×KA +q×h×KA = ×17×22 ×0.4+5×2×0.4=17.600"(kN/m)
2
2
‫ۑ‬స⏝఩⨨ y
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+ͷ×0.4=2.000"(kN/m)
P2 =17×2×0.4+5×0.4=15.600"(kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ15.600+2×2.000ሻ×2
=
=0.742"(m)
3×ሺ15.600+2.000ሻ
3×ሺP2 +P1 ሻ
࢖ ⮬㔜 ᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
0.20×1.75
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
24
8.400
0.100
0.840
1.50×0.25
24
9.000
0.750
6.750
ճ
1/20.20×0.20
24
0.480
0.267
0.128
մ
1.301.55
17
34.255
0.850
29.117
յ
1/20.20×0.20
17
0.340
0.333
0.113
ն
1.100.20
17
3.740
0.950
3.553
ྜィ
-
-
56.215
-
40.501
༊ศ
(kN/m3)
- 86 -
(=W×X)
࢘ ✚㍕Ⲵ㔜
‫ۑ‬㖄┤Ⲵ㔜
Q=q×B'=10×1.3=13.000"(kN/mሻ
‫ۑ‬స⏝఩⨨
X=0.20+
1.30
=0.850"(m)
2
࢜ స⏝ຊࡢ㞟ィ
Ⲵ㔜(kN)
Ⲵ㔜ࡢ✀㢮
࣮࣓ࣔࣥࢺ(kN࣭m)
X
Y
Ᏻᐃ࣮࣓ࣔࣥࢺ
㌿ಽ࣮࣓ࣔࣥࢺ
Mo
Mr
17.600
-
0.742
-
13.059
56.215
-
-
-
40.501
-
13.000
-
0.850
-
11.050
-
69.215
17.600
(=RV)
(=RH)
-
-
51.551
13.059
㖄┤ຊ
Ỉᖹຊ
㹔
㹆
ᅵᅽ
-
⮬㔜
✚㍕Ⲵ㔜
ྜィ
࢔࣮࣒㛗(m)
‫Ⲵۑ‬㔜ࡢྜຊస⏝఩⨨ d(m)
d=
#Mo 㸫#M 51.551㸫13.059
=
=0.556(m)
69.215
"Rv
㸦㸧㌿ಽ࡟㛵ࡍࡿ᳨ウ
࢔ Ᏻ඲⋡࡟㛵ࡍࡿ᳨ウ
Fs =
#Mo 51.551
=
=3.948 >1.5---OK
#Mr 13.059
࢖ ೫ᚰ㊥㞳࡟㛵ࡍࡿ᳨ウ
e=
B
1.5
B
㸫d=
㸫0.556=0.194 < =0.250---OK
2
2
6
㸦㸧⁥ື࡟㛵ࡍࡿ᳨ウ
Fs =
RV ×$+CB ×B 69.215×0.4+0×1.5
=
=1.573 >1.5---OK RH
17.600
㸦㸧ᇶ♏ᆅ┙ࡢᨭᣢຊ࡟㛵ࡍࡿ᳨ウ
ྜຊస⏝఩⨨ࡀᗏ∧୰ኸࡢᗏ∧ᖜ 1/3 ࡢ୰࡟࠶ࡿࡓࡵࠊ
q1 㸪q2 =
6×e 69.215
6×0.194
RV
× ൬1±
൰=
× ൬1±
൰ =81.951㸪10.336 <100"ሺkN/m2 ሻ---OK
B
B
1.5
1.5
Ϭ㸬❿ቨࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟ࡼ
ࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬ᅵᅽྜຊ PA
1
2
PA = ൬ ×Ț×h ×KA +q×h×KA ൰ × cosሺ%+ ሻ
2
1
"= ൬ ×17×1.752 ×0.4+5×1.75×0.4൰ × cosሺ0+16.933ሻ =13.309"(kN/m)
2
- 87 -
✚㍕Ⲵ㔜䠖q=10.000kN/m2
P1=2.000kN/m2
200
1750
2000
=16.933㼻
60
୺㕲➽䠖D13䠜300
250
P2=13.900kN/m2
ᇶ‽Ⅼ
200
1300
䠄ᑍἲ䛾༢఩䠖mm䠅
1500
‫ۑ‬స⏝఩⨨ y
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+5×0.4=2.000"(kN/m)
P2 =17×1.75×0.4+5×0.4=13.900"(kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ13.900+2×2.000ሻ×1.75
=
=0.657"(m)
3×ሺP2 +P1 ሻ
3×ሺ13.900+2.000ሻ
࢖ స⏝ຊࡢ㞟ィ
ࡏࢇ᩿ຊ(kN)
࢔࣮࣒㛗(m)
࣮࣓ࣔࣥࢺ(kN࣭m)
Ỉᖹຊ H
Y
M
ᅵᅽ
13.309
0.657
8.744
ྜィ
13.309(=RH)
-
8.744
Ⲵ㔜ࡢ✀㢮
ᛂຊᗘࡢィ⟬
‫ۑ‬᭷ຠ㧗 d(mm)
୺㕲➽ࡢ୰ᚰࡲ࡛ࡢ㊥㞳ࡀ 60mm ࡛࠶ࡿࡢ࡛ࠊ㒊ᮦཌ 200mm ࡼࡾࠊ
d=200㸫60=140ሺmmሻ
‫ۑ‬㕲➽ࡢ᩿㠃✚ As(mm2)
༢఩ᖜ b=1000m ࡟ D13 ࡢ㕲➽୍ᮏ㎶ࡾࡢ᩿㠃✚㸸126.7mm2ࢆ 300mm 㛫㝸࡛㓄⨨ࡍࡿࡢ࡛ࠊ
As =126.7×
‫ۑ‬ᘬᙇ㕲➽ẚ p
=
1000
=422ሺଶ ሻ
300
As
422
=
=0.00301
b×d 1000×140
‫ࢢࣥࣖۑ‬ಀᩘẚ n=15
‫ۑ‬୰❧㍈ẚ k
2
2
k=p×ඨn2 + ×n㸫p×n=0.00301×ඨ152 +
×15㸫0.00301×15=0.259
p
0.00301
‫ۑ‬ᛂຊ୰ᚰ㊥㞳 j
140
d
j= ൫3㸫k൯=
൫3㸫0.259൯=127.913
3
3
- 88 -
࢔ 㕲➽ࡢᘬᙇᛂຊᗘ
s
#M
8.744×106
=
=161.988ሺN/mm2 ሻ <
As ×j 422×127.913
s=
࢖ ࢥࣥࢡ࣮ࣜࢺࡢ᭤ࡆᅽ⦰ᛂຊᗘ
sa =215ሺN/mm
c
2 ሻ---OK
2×8.744×106
2×#M
=
=3.771ሺN/mm2 ሻ <
c=
k×j×d×b 0.259×127.913×140×1000
ca =8ሺN/mm
࢘ ࢥࣥࢡ࣮ࣜࢺࡢࡏࢇ᩿ᛂຊᗘ !c
!c =
2 ሻ---OK
RH
13.309×103
=
=0.104ሺN/mm2 ሻ <!ca =0.73ሺN/mm2 ሻ---OK
b×j 1000×127.913
ϭ㸬ᗏ∧ࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᆅ┙཯ຊ࡟ࡼࡿ࣮࣓ࣔࣥࢺཬࡧࡏࢇ᩿ຊ
‫ۑ‬ᗏ∧௜ࡅ᰿࡟࠾ࡅࡿᆅ┙཯ຊ q3
൫"q2 㸫q1 ൯×B'
൫81.951㸫10.336൯×1.3
+q1 =
+10.336=72.402"ሺkNሻ
B
1.5
‫ࢇࡏۑ‬᩿ຊ
q3 =
S=
൫"q3 +q1 ൯×B' ሺ72.402+10.336ሻ×1.3
=
=53.780"ሺkNሻ
2
2
‫ۑ‬స⏝఩⨨
y=
൫q3 +2×qଵ ൯×B' ሺ72.402+2×10.336ሻ×1.3
=
=0.488"(m)
3×ሺ72.402+10.336ሻ
3×൫q3 +q1 ൯
࢖ ⮬㔜
᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
1.300.25
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
24
7.800
0.650
5.070
1/20.200.20
24
0.480
0.067
0.032
ճ
1.301.55
17
34.255
0.650
22.266
մ
1/20.200.20
17
0.340
0.133
0.045
յ
1.100.20
17
3.740
0.750
2.805
ྜィ
-
-
46.615
-
30.218
༊ศ
(kN/m3)
(=W×X)
࢘ ✚㍕Ⲵ㔜
‫ۑ‬㖄┤Ⲵ㔜
Q=q×B'=10×1.3=13.000"(kN/mሻ
‫ۑ‬స⏝఩⨨
X=
1.3
=0.650"(m)
2
࢚ స⏝ຊࡢ㞟ィ
ࡏࢇ᩿ຊ(kN)
Ⲵ㔜ࡢ✀㢮
࢔࣮࣒㛗(m) ࣮࣓ࣔࣥࢺ(kN࣭m)
㖄┤ຊ V
X
M
ᆅ┙཯ຊ
-53.780
0.488
-26.245
⮬㔜
46.615
-
30.218
✚㍕Ⲵ㔜
13.000
0.650
8.450
ྜィ
5.835(=RV)
-
12.423
ͤ ᗏ∧ࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࡀ❿ቨࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࢆ㉸࠼࡚࠸ࡿࡢ࡛ࠊᗏ
∧ࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࡣࠊ❿ቨ௜ࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺ(=8.744 kN࣭m)࡜ࡍࡿࠋ
- 89 -
✚㍕Ⲵ㔜䠖q=10.000kN/m2
80
୺㕲➽䠖D13䠜300
250
1750
2000(=h)
䐡
250
䐢
䐠
200
200
䐣
䐟
q1=10.336kN/m2
ᇶ‽Ⅼ
q3=72.402kN/m2
q2=81.951kN/m2
200
䠄ᑍἲ䛾༢఩䠖mm䠅
1300(=B’)
1500(=B)
ᛂຊᗘࡢィ⟬
‫ۑ‬᭷ຠ㧗 d(mm)
୺㕲➽ࡢ୰ᚰࡲ࡛ࡢ㊥㞳ࡀ 80mm ࡛࠶ࡿࡢ࡛ࠊ㒊ᮦཌ 250mm ࡼࡾࠊ
d=250㸫80=170ሺmmሻ
‫ۑ‬㕲➽ࡢ᩿㠃✚ As(mm2)
༢఩ᖜ b=1000m ࡟ D13 ࡢ㕲➽୍ᮏ㎶ࡾࡢ᩿㠃✚㸸126.7mm2ࢆ 300mm 㛫㝸࡛㓄⨨ࡍࡿࡢ࡛ࠊ
As =126.7×
‫ۑ‬ᘬᙇ㕲➽ẚ p
p=
1000
=422ሺଶ ሻ
300
422
As
=
=0.00248
b×d 1000×170
‫ࢢࣥࣖۑ‬ಀᩘẚ n=15
‫ۑ‬୰❧㍈ẚ k
2
2
k=×ඨn2 + ×n㸫×n=0.00248ඨ152 +
×15㸫0.00248×15=0.238

0.00248
‫ۑ‬ᛂຊ୰ᚰ㊥㞳 j
170
d
j= ൫3㸫k൯=
൫3㸫0.238൯=156.513
3
3
࢔ 㕲➽ࡢᘬᙇᛂຊᗘ
s
6
s=
8.744×10
#M
=
=132.388ሺN/mm2 ሻ <
As ×j 422×156.513
࢖ ࢥࣥࢡ࣮ࣜࢺࡢ᭤ࡆᅽ⦰ᛂຊᗘ
c=
c
=215ሺN/mm
2×#M
2×8.744×106
=
=2.762ሺN/mm2 ሻ <
k×j×d×b 0.238×156.513×170×1000
2 ሻ---OK
ca =8ሺN/mm
࢘ ࢥࣥࢡ࣮ࣜࢺࡢࡏࢇ᩿ᛂຊᗘ !c
!c =
5.835×103
RV
=
=0.004ሺN/mm2 ሻ <!ca =0.73ሺN/mm2 ሻ---OK
b×j 1000×156.513
- 90 -
2 ሻ---OK
≯‫׹‬ઢُ≋≕≌⅙᭗ↄ≝․† ‧ ⦰ᑻࠉ
༢఩ࠉ㹫㹫
㹊 ᆺ ᧦ ቨ ᵓ㐀 ᅗ 㸦 ౛ 㸧
ࡓ࡚ቨ㓄➽ᅗ
๓㠃
⫼㠃
# '#
'#
⿬㎸○▼
ṆỈࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
'#
'
'
ᆒࡋࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
ᇶ♏○▼㸦W 㸧
タィ᮲௳
㡯ࠉࠉࠉࠉ┠
ᗏ∧㓄➽ᅗ
ୖ㠃
'#
༢఩
᧦ቨ㧗
㹫
⫼㠃ᙧ≧
̿
Ỉᖹ
⫼㠃ᅵࡢ✀㢮
̿
◁㉁ᅵ
⫼㠃ᅵ
.1P 㕲➽ࢥࣥࢡ࣮ࣜࢺ
.1P 1ੈ ࢥࣥࢡ࣮ࣜࢺ᭤ࡆᅽ⦰ᛂຊᗘ
1ੈ ࢥࣥࢡ࣮ࣜࢺࡏࢇ᩿ᛂຊᗘ
1ੈ 㕲➽ᘬᙇᛂຊᗘ㸦6'㸧
1ੈ ༢఩య✚㔜㔞
'
ࢥࣥࢡ࣮ࣜࢺタィᇶ‽ᙉᗘ
チ
ᐜ
ᛂ
ຊ
ᗘ
ୗ㠃
'
.1P ̿
ᅵᅽಀᩘ
̿
ୖ㍕Ⲵ㔜
.1P ࣇ࢙ࣥࢫⲴ㔜
.1P
̿
チᐜᨭᣢຊᗘ
ᦶ᧿ಀᩘ
'#
# ὀព஦㡯
ỈᢤᏍࡣෆᚄੈ௨ୖࡢሷࣅ⟶➼ࢆ౑⏝ࡋࠊ㸱੍࡟
㸯⟠ᡤ௨ୖタࡅࡿࠋ
ỈᢤᏍ࡟ࡣ྾ฟࡋ㜵Ṇᮦ➼ࢆタ⨨ࡍࡿࠋ
㕲➽ࡢ࠿ࡪࡾཌࡉࡣࠊࡓ࡚ቨ࡛੉௨ୖࠊᗏ∧࡛੉
௨ୖ☜ಖࡍࡿࠋ
‫‣‫‬
ᵓ㐀ィ⟬౛
Ϩ㸬ᙧ≧࣭ᑍἲ
2200
2500
✚㍕Ⲵ㔜䠖q=10.000kN/m2
300
250
250
250
1650
䠄ᑍἲ䛾༢఩䠖mm䠅
1900
ϩ㸬タィ᮲௳
㡯┠
᮲௳
ᅵ㉁ࡢ✀㢮
༢఩
-
◁㉁ᅵ
17 kN/m3
༢఩య✚㔜㔞 Ț
⢓╔ຊ C
0 kN/m2
ᅵᅽಀᩘ KA
0.4 (ᨻ௧ู⾲➨஧)
-
⫼㠃ᅵ
❿ቨ㠃࡜ᅵࡢᦶ᧿ゅ Ȫ
16.933 (=2/3ȭ) °
ෆ㒊ᦶ᧿ゅȭ r࡜ࡋࡓ
ᅵ㉁᮲௳
❿ቨ⫼㠃࡜㖄┤㠃ࡢ࡞ࡍゅ Ș
0 °
ᆅ⾲㠃࡜Ỉᖹ㠃ࡢ࡞ࡍゅ ș
0 °
ᅵ㉁ࡢ✀㢮
⢓╔ຊ CB
ᨭᣢᆅ┙
0 kN/m2
㛗ᮇチᐜᛂຊᗘ qa
120
㖄┤Ⲵ㔜
✚㍕Ⲵ㔜 q
-
10 kN/m2
SD345
✀㢮
㕲➽
㛗ᮇチᐜᛂຊᗘ㸦ᘬᙇ㸧
౑⏝ᮦᩱ
kN/m2
0.4 (ᨻ௧ู⾲➨୕)
ᦶ᧿ಀᩘ ȣ
Ⲵ㔜᮲௳
-
◁㉁ᅵ
sa
215
N/mm2
༢఩య✚㔜㔞
24 kN/m3
タィᇶ‽ᙉᗘ F
24 N/mm2
ࢥࣥࢡ࣮ࣜࢺ
㛗ᮇチᐜᛂຊᗘ㸦ᅽ⦰㸧
ca
㛗ᮇチᐜᛂຊᗘ㸦ࡏࢇ᩿㸧 !ca
8 N/mm2
0.73 N/mm2
Ϫ㸬᳨ウ㡯┠
᧦ቨ㧗ࡉࡀ 5m ௨ୗ࡛࠶ࡿࡓࡵࠊᖖ᫬࡟࠾ࡅࡿ᳨ウࡢࡳ⾜࠺ࠋ
㸦㸧Ᏻᐃィ⟬
᧦ቨࡢ㌿ಽཬࡧ⁥ືࡢᏳ඲⋡ࡀ 1.5 ௨ୖ࡛࠶ࡾࠊᆅ┙࡟⏕ࡌࡿᛂຊᗘࡀᆅ┙ࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸
࠼࡞࠸ࡇ࡜ࠋ
㸦㸧㒊ᮦࡢᛂຊィ⟬
㕲➽ཬࡧࢥࣥࢡ࣮ࣜࢺ࡟⏕ࡌࡿᛂຊᗘࡀࠊࡑࢀࡒࢀࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸࠼࡞࠸ࡇ࡜ࠋ
- 92 -
ϫ㸬Ᏻᐃィ⟬
✚㍕Ⲵ㔜䠖q=10.000kN/m2
2200
2500(=h)
P1=2.000kN/m2
䐢
䐟
300
䐣
䐡
250
250
䐤
P2=19.000kN/m2
䐠
q1=13.596kN/m2
ᇶ‽Ⅼ
q2=97.256kN/m2
䠄ᑍἲ䛾༢఩䠖mm䠅
250
1650(=B’)
1900(=B)
711(=d)
239(=e)
950(=B/2)
㸦㸧Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟
ࡼࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬ᅵᅽྜຊ PA
1
1
2
PA = ×Ț×h ×KA +q×h×KA = ×17×2.52 ×0.4+5×2.5×0.4=26.250"(kN/m)
2
2
‫ۑ‬స⏝఩⨨ y
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+ͷ×0.4=2.000"(kN/m)
P2 =17×2.5×0.4+5×0.4=19.000"(kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ19.000+2×2.000ሻ×2.5
=
=0.913"(m)
3×ሺ19.000+2.000ሻ
3×ሺP2 +P1 ሻ
࢖ ⮬㔜 ᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
0.25×2.20
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
24
13.200
0.125
1.650
1.90×0.30
24
13.680
0.950
12.996
ճ
1/20.25×0.25
24
0.750
0.333
0.250
մ
1.651.95
17
54.698
1.075
58.800
յ
1/20.25×0.25
17
0.531
0.417
0.221
ն
1.400.25
17
5.950
1.20
7.140
ྜィ
-
-
88.809
-
81.057
༊ศ
(kN/m3)
- 93 -
(=W×X)
࢘ ✚㍕Ⲵ㔜
‫ۑ‬㖄┤Ⲵ㔜
Q=q×B'=10×1.65=16.500"(kN/mሻ
‫ۑ‬స⏝఩⨨
X=0.25+
1.65
=1.075"(m)
2
࢜ స⏝ຊࡢ㞟ィ
Ⲵ㔜(kN)
Ⲵ㔜ࡢ✀㢮
࣮࣓ࣔࣥࢺ(kN࣭m)
X
Y
Ᏻᐃ࣮࣓ࣔࣥࢺ
㌿ಽ࣮࣓ࣔࣥࢺ
Mo
Mr
26.250
-
0.913
-
23.966
88.809
-
-
-
81.057
-
16.500
-
1.075
-
17.738
-
105.309
26.250
(=RV)
(=RH)
-
-
98.795
23.966
㖄┤ຊ
Ỉᖹຊ
㹔
㹆
ᅵᅽ
-
⮬㔜
✚㍕Ⲵ㔜
ྜィ
࢔࣮࣒㛗(m)
‫Ⲵۑ‬㔜ࡢྜຊస⏝఩⨨ d(m)
d=
#Mo 㸫#Mɀ 98.795㸫23.966
=
=0.711(m)
105.309
"Rv
㸦㸧㌿ಽ࡟㛵ࡍࡿ᳨ウ
࢔ Ᏻ඲⋡࡟㛵ࡍࡿ᳨ウ
Fs =
#Mo 98.795
=
=4.122 >1.5---OK
#Mr 23.966
࢖ ೫ᚰ㊥㞳࡟㛵ࡍࡿ᳨ウ
e=
B
1.9
B
㸫d=
㸫0.711=0.239 < =0.317---OK
2
6
2
㸦㸧⁥ື࡟㛵ࡍࡿ᳨ウ
Fs =
RV ×$+CB ×B 105.309×0.4+0×1.9
=
=1.605 >1.5---OK RH
26.250
㸦㸧ᇶ♏ᆅ┙ࡢᨭᣢຊ࡟㛵ࡍࡿ᳨ウ
ྜຊస⏝఩⨨ࡀᗏ∧୰ኸࡢᗏ∧ᖜ 1/3 ࡢ୰࡟࠶ࡿࡓࡵࠊ
q1 㸪q2 =
6×e 105.309
6×0.239
RV
× ൬1±
൰=
× ൬1±
൰ =97.256㸪13.596 <110"ሺkN/m2 ሻ---OK
B
B
1.9
1.9
Ϭ㸬❿ቨࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟ࡼ
ࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬ᅵᅽྜຊ PA
1
2
PA = ൬ ×Ț×h ×KA +q×h×KA ൰ × cosሺ%+ ሻ
2
1
"= ൬ ×17×2.202 ×0.4+5×2.20×0.4൰ × cosሺ0+16.933ሻ =19.952"(kN/m)
2
- 94 -
✚㍕Ⲵ㔜䠖q=10.000kN/m2
P1=2.000kN/m2
250
2200
2500
=16.933㼻
60
୺㕲➽䠖D13䠜250
300
P2=16.960kN/m2
ᇶ‽Ⅼ
250
1650
䠄ᑍἲ䛾༢఩䠖mm䠅
1900
‫ۑ‬స⏝఩⨨ y
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+5×0.4=2.000"(kN/m)
P2 =17×2.20×0.4+5×0.4=16.960"(kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ16.960+2×2.000ሻ×2.2
=
=0.811"(m)
3×ሺP2 +P1 ሻ
3×ሺ16.960+2.000ሻ
࢖ స⏝ຊࡢ㞟ィ
ࡏࢇ᩿ຊ(kN)
࢔࣮࣒㛗(m)
࣮࣓ࣔࣥࢺ(kN࣭m)
Ỉᖹຊ H
Y
M
ᅵᅽ
19.952
0.811
16.181
ྜィ
19.952(=RH)
-
16.181
Ⲵ㔜ࡢ✀㢮
ᛂຊᗘࡢィ⟬
‫ۑ‬᭷ຠ㧗 d(mm)
୺㕲➽ࡢ୰ᚰࡲ࡛ࡢ㊥㞳ࡀ 60mm ࡛࠶ࡿࡢ࡛ࠊ㒊ᮦཌ 250mm ࡼࡾࠊ
d=250㸫60=190ሺmmሻ
‫ۑ‬㕲➽ࡢ᩿㠃✚ As(mm2)
༢఩ᖜ b=1000m ࡟ D13 ࡢ㕲➽୍ᮏ㎶ࡾࡢ᩿㠃✚㸸126.7mm2ࢆ 250mm 㛫㝸࡛㓄⨨ࡍࡿࡢ࡛ࠊ
As =126.7×
‫ۑ‬ᘬᙇ㕲➽ẚ p
=
1000
=507ሺଶ ሻ
250
507
As
=
=0.00267
b×d 1000×190
‫ࢢࣥࣖۑ‬ಀᩘẚ n=15
‫ۑ‬୰❧㍈ẚ k
2
2
k=×ඨn2 + ×n㸫×n=0.00267ඨͳͷ2 +
×15㸫0.00267×15=0.246

0.00267
‫ۑ‬ᛂຊ୰ᚰ㊥㞳 j
d
190
j= ൫3㸫k൯=
൫3㸫0.246൯=174.420
3
3
- 95 -
࢔ 㕲➽ࡢᘬᙇᛂຊᗘ
s
#M
16.181×106
=
=182.980ሺN/mm2 ሻ <
As ×j 507×174.420
s=
࢖ ࢥࣥࢡ࣮ࣜࢺࡢ᭤ࡆᅽ⦰ᛂຊᗘ
sa =215ሺN/mm
c
2 ሻ---OK
2×16.181×106
2×#M
=
=3.970ሺN/mm2 ሻ <
c=
k×j×d×b 0.246×174.420×190×1000
ca =8ሺN/mm
࢘ ࢥࣥࢡ࣮ࣜࢺࡢࡏࢇ᩿ᛂຊᗘ !c
!c =
2 ሻ---OK
RH
19.952×103
=
=0.114ሺN/mm2 ሻ <!ca =0.73ሺN/mm2 ሻ---OK
b×j 1000×174.420
ϭ㸬ᗏ∧ࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᆅ┙཯ຊ࡟ࡼࡿ࣮࣓ࣔࣥࢺཬࡧࡏࢇ᩿ຊ
‫ۑ‬ᗏ∧௜ࡅ᰿࡟࠾ࡅࡿᆅ┙཯ຊ q3
൫"q2 㸫q1 ൯×B'
൫97.256㸫13.596൯×1.65
+q1 =
+13.596=86.248"ሺkNሻ
B
1.9
‫ࢇࡏۑ‬᩿ຊ
q3 =
S=
൫"q3 +q1 ൯×B' ሺ86.248+13.596ሻ×1.65
=
=82.371"ሺkNሻ
2
2
‫ۑ‬స⏝఩⨨
y=
࢖ ⮬㔜
൫q3 +2×qଵ ൯×B' ሺ86.248+2×13.596ሻ×1.65
=
=0.625"(m)
3×ሺ86.248+13.596ሻ
3×൫q3 +q1 ൯
᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
1.650.30
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
24
11.880
0.825
9.801
1/20.250.25
24
0.750
0.083
0.062
ճ
1.651.95
17
54.698
0.825
45.125
մ
1/20.250.25
17
0.531
0.167
0.089
յ
1.400.25
17
5.950
0.950
5.653
ྜィ
-
-
73.809
-
60.730
༊ศ
(kN/m3)
(=W×X)
࢘ ✚㍕Ⲵ㔜
‫ۑ‬㖄┤Ⲵ㔜
Q=q×B'=10×1.65=16.500"(kN/mሻ
‫ۑ‬స⏝఩⨨
X=
1.65
=0.825"(m)
2
࢚ స⏝ຊࡢ㞟ィ
ࡏࢇ᩿ຊ(kN)
Ⲵ㔜ࡢ✀㢮
࢔࣮࣒㛗(m) ࣮࣓ࣔࣥࢺ(kN࣭m)
㖄┤ຊ V
X
M
ᆅ┙཯ຊ
-82.371
0.625
-51.482
⮬㔜
73.809
-
60.730
✚㍕Ⲵ㔜
16.500
0.825
13.613
ྜィ
7.938(=RV)
-
22.861
ͤ ᗏ∧ࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࡀ❿ቨࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࢆ㉸࠼࡚࠸ࡿࡢ࡛ࠊᗏ
∧ࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࡣࠊ❿ቨ௜ࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺ(=16.181kN࣭m)࡜ࡍࡿࠋ
- 96 -
✚㍕Ⲵ㔜䠖q=10.000kN/m2
2200
䐡
300
2500(=h)
80
୺㕲➽䠖D13䠜250
250
250
300
䐢
䐠
䐣
䐟
q1=13.596kN/m2
ᇶ‽Ⅼ
q2=97.256kN/m2
q3=86.248kN/m2
250
䠄ᑍἲ䛾༢఩䠖mm䠅
1650(=B’)
1900(=B)
ᛂຊᗘࡢィ⟬
‫ۑ‬᭷ຠ㧗 d(mm)
୺㕲➽ࡢ୰ᚰࡲ࡛ࡢ㊥㞳ࡀ 80mm ࡛࠶ࡿࡢ࡛ࠊ㒊ᮦཌ 300mm ࡼࡾࠊ
d=300㸫80=220ሺmmሻ
‫ۑ‬㕲➽ࡢ᩿㠃✚ As(mm2)
༢఩ᖜ b=1000m ࡟ D13 ࡢ㕲➽୍ᮏ㎶ࡾࡢ᩿㠃✚㸸126.7mm2ࢆ 250mm 㛫㝸࡛㓄⨨ࡍࡿࡢ࡛ࠊ
As =126.7×
‫ۑ‬ᘬᙇ㕲➽ẚ p
p=
1000
=506ሺଶ ሻ
250
506
As
=
=0.00230
b×d 1000×220
‫ࢢࣥࣖۑ‬ಀᩘẚ n=15
‫ۑ‬୰❧㍈ẚ k
2
2
k=×ඨn2 + ×n㸫×n=0.00230ඨ152 +
×15㸫0.00230×15=0.230

0.00230
‫ۑ‬ᛂຊ୰ᚰ㊥㞳 j
d
220
j= ൫3㸫k൯=
൫3㸫0.230൯=203.133
3
3
࢔ 㕲➽ࡢᘬᙇᛂຊᗘ
s
6
s=
16.181×10
#M
=
=157.425ሺN/mm2 ሻ <
As ×j 506×203.133
࢖ ࢥࣥࢡ࣮ࣜࢺࡢ᭤ࡆᅽ⦰ᛂຊᗘ
c=
c
=215ሺN/mm
2×#M
2×16.181×106
=
=3.149ሺN/mm2 ሻ <
k×j×d×b 0.230×203.133×220×1000
2 ሻ---OK
ca =8ሺN/mm
࢘ ࢥࣥࢡ࣮ࣜࢺࡢࡏࢇ᩿ᛂຊᗘ !c
!c =
7.938×103
RV
=
=0.039ሺN/mm2 ሻ <!ca =0.73ሺN/mm2 ሻ---OK
b×j 1000×203.133
- 97 -
2 ሻ---OK
≯‫׹‬ઢُ≋≖≌⅙᭗ↄ≝‥† • ⦰ᑻࠉ
༢఩ࠉ㹫㹫
㹊 ᆺ ᧦ ቨ ᵓ㐀 ᅗ 㸦 ౛ 㸧
ࡓ࡚ቨ㓄➽ᅗ
๓㠃
⫼㠃
'#
'#
# ⿬㎸○▼
ṆỈࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
'
'
ᆒࡋࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
ᇶ♏○▼㸦W 㸧
タィ᮲௳
㡯ࠉࠉࠉࠉ┠
ᗏ∧㓄➽ᅗ
༢఩
᧦ቨ㧗
㹫
⫼㠃ᙧ≧
̿
Ỉᖹ
⫼㠃ᅵࡢ✀㢮
̿
◁㉁ᅵ
⫼㠃ᅵ
.1P 㕲➽ࢥࣥࢡ࣮ࣜࢺ
.1P 1ੈ ࢥࣥࢡ࣮ࣜࢺ᭤ࡆᅽ⦰ᛂຊᗘ
1ੈ ࢥࣥࢡ࣮ࣜࢺࡏࢇ᩿ᛂຊᗘ
1ੈ 㕲➽ᘬᙇᛂຊᗘ㸦6'㸧
1ੈ '#
ୖ㠃
༢఩య✚㔜㔞
ࢥࣥࢡ࣮ࣜࢺタィᇶ‽ᙉᗘ
'
チ
ᐜ
ᛂ
ຊ
ᗘ
.1P ̿
ᅵᅽಀᩘ
̿
ୖ㍕Ⲵ㔜
.1P ࣇ࢙ࣥࢫⲴ㔜
.1P
チᐜᨭᣢຊᗘ
'
ୗ㠃
ᦶ᧿ಀᩘ
ὀព஦㡯
'#
# ‫‫‬‪
ỈᢤᏍࡣෆᚄੈ௨ୖࡢሷࣅ⟶➼ࢆ౑⏝ࡋࠊ㸱੍࡟
㸯⟠ᡤ௨ୖタࡅࡿࠋ
ỈᢤᏍ࡟ࡣ྾ฟࡋ㜵Ṇᮦ➼ࢆタ⨨ࡍࡿࠋ
㕲➽ࡢ࠿ࡪࡾཌࡉࡣࠊࡓ࡚ቨ࡛੉௨ୖࠊᗏ∧࡛੉
௨ୖ☜ಖࡍࡿࠋ
ᵓ㐀ィ⟬౛
Ϩ㸬ᙧ≧࣭ᑍἲ
䝣䜵䞁䝇Ⲵ㔜䠖H=1.000kN/m2
2700
300
3000
1100
✚㍕Ⲵ㔜䠖q=10.000kN/m2
300
2200
䠄ᑍἲ䛾༢఩䠖mm䠅
2500
ϩ㸬タィ᮲௳
㡯┠
᮲௳
ᅵ㉁ࡢ✀㢮
༢఩
-
◁㉁ᅵ
17 kN/m3
༢఩య✚㔜㔞 Ț
⢓╔ຊ C
0 kN/m2
ᅵᅽಀᩘ KA
0.4 (ᨻ௧ู⾲➨஧)
-
⫼㠃ᅵ
❿ቨ㠃࡜ᅵࡢᦶ᧿ゅ Ȫ
16.933 (=2/3ȭ) °
ෆ㒊ᦶ᧿ゅȭ r࡜ࡋࡓ
ᅵ㉁᮲௳
❿ቨ⫼㠃࡜㖄┤㠃ࡢ࡞ࡍゅ Ș
0 °
ᆅ⾲㠃࡜Ỉᖹ㠃ࡢ࡞ࡍゅ ș
0 °
ᅵ㉁ࡢ✀㢮
⢓╔ຊ CB
ᨭᣢᆅ┙
-
◁㉁ᅵ
0 kN/m2
㛗ᮇチᐜᛂຊᗘ qa
120 kN/m2
0.4 (ᨻ௧ู⾲➨୕)
ᦶ᧿ಀᩘ ȣ
-
㖄┤Ⲵ㔜
✚㍕Ⲵ㔜 q
10 kN/m2
ỈᖹⲴ㔜
ࣇ࢙ࣥࢫⲴ㔜
1 kN/m
Ⲵ㔜᮲௳
SD345
✀㢮
㕲➽
㛗ᮇチᐜᛂຊᗘ㸦ᘬᙇ㸧
౑⏝ᮦᩱ
sa
215 N/mm2
༢఩య✚㔜㔞
24 kN/m3
タィᇶ‽ᙉᗘ F
24 N/mm2
ࢥࣥࢡ࣮ࣜࢺ
㛗ᮇチᐜᛂຊᗘ㸦ᅽ⦰㸧
ca
㛗ᮇチᐜᛂຊᗘ㸦ࡏࢇ᩿㸧 !ca
8 N/mm2
0.73 N/mm2
Ϫ㸬᳨ウ㡯┠
᧦ቨ㧗ࡉࡀ 5m ௨ୗ࡛࠶ࡿࡓࡵࠊᖖ᫬࡟࠾ࡅࡿ᳨ウࡢࡳ⾜࠺ࠋ
㸦㸧Ᏻᐃィ⟬
᧦ቨࡢ㌿ಽཬࡧ⁥ືࡢᏳ඲⋡ࡀ 1.5 ௨ୖ࡛࠶ࡾࠊᆅ┙࡟⏕ࡌࡿᛂຊᗘࡀᆅ┙ࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸
࠼࡞࠸ࡇ࡜ࠋ
- 99 -
㸦㸧㒊ᮦࡢᛂຊィ⟬
㕲➽ཬࡧࢥࣥࢡ࣮ࣜࢺ࡟⏕ࡌࡿᛂຊᗘࡀࠊࡑࢀࡒࢀࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸࠼࡞࠸ࡇ࡜ࠋ
ϫ㸬Ᏻᐃィ⟬
䝣䜵䞁䝇Ⲵ㔜䠖H=1.000kN/m2
1100
✚㍕Ⲵ㔜䠖q=10.000kN/m2
2700
䐟
䐡
300
3000(=h)
P1=2.000kN/m2
P2=22.400kN/m2
䐠
q1=19.353kN/m2
ᇶ‽Ⅼ
q2=108.983kN/m2
300
2200(=B’)
2500(=B)
䠄ᑍἲ䛾༢఩䠖mm䠅
959(=d)
291(=e)
1250(=B/2)
㸦㸧Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟
ࡼࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬ᅵᅽྜຊ PA
1
1
2
PA = ×Ț×h ×KA +q×h×KA = ×17×32 ×0.4+5×3×0.4=36.600"(kN/m)
2
2
‫ۑ‬స⏝఩⨨ y
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+ͷ×0.4=2.000"(kN/m)
P2 =17×3×0.4+5×0.4=22.400"(kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ22.400+2×2.000ሻ×3
=
=1.082"(m)
3×ሺP2 +P1 ሻ
3×ሺ22.400+2.000ሻ
࢖ ⮬㔜 ᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
0.30×2.70
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
24
19.440
0.150
2.916
2.50×0.30
24
18.000
1.250
22.500
ճ
2.20×2.70
17
100.980
1.400
141.372
ྜィ
-
-
138.420
-
166.788
༊ศ
(kN/m3)
- 100 -
(=W×X)
࢘ ✚㍕Ⲵ㔜
‫ۑ‬㖄┤Ⲵ㔜
Q=q×B'=10×2.20=22.000"(kN/mሻ
‫ۑ‬స⏝఩⨨
X=0.30+
2.20
=1.400"(m)
2
࢚ ࣇ࢙ࣥࢫⲴ㔜
‫ۑ‬ỈᖹⲴ㔜
H=1.000"(kN)
‫ۑ‬స⏝఩⨨
Y=3.0+1.1ൌ4.100"(m)
࢜ స⏝ຊࡢ㞟ィ
Ⲵ㔜(kN)
Ⲵ㔜ࡢ✀㢮
㖄┤ຊ
Ỉᖹຊ
㹔
㹆
ᅵᅽ
-
⮬㔜
࢔࣮࣒㛗(m)
࣮࣓ࣔࣥࢺ(kN࣭m)
X
Y
Ᏻᐃ࣮࣓ࣔࣥࢺ
㌿ಽ࣮࣓ࣔࣥࢺ
Mo
Mr
36.600
-
1.082
-
39.601
138.420
-
-
-
166.788
-
✚㍕Ⲵ㔜
22.000
-
1.400
-
30.800
-
ࣇ࢙ࣥࢫⲴ㔜
-
1.000
-
4.100
-
4.100
160.420
37.600
(=RV)
(=RH)
-
-
197.588
43.701
ྜィ
‫Ⲵۑ‬㔜ࡢྜຊస⏝఩⨨ d(m)
d=
#Mo 㸫#Mɀ 197.588㸫43.701
=
=0.959(m)
"Rv
160.420
㸦㸧㌿ಽ࡟㛵ࡍࡿ᳨ウ
࢔ Ᏻ඲⋡࡟㛵ࡍࡿ᳨ウ
Fs =
#Mo 197.588
=
=4.521 >1.5---OK
#Mr 43.701
࢖ ೫ᚰ㊥㞳࡟㛵ࡍࡿ᳨ウ
e=
B
2.5
B
㸫d=
㸫0.959=0.291 < =0.417---OK
2
2
6
㸦㸧⁥ື࡟㛵ࡍࡿ᳨ウ
Fs =
RV ×$+CB ×B 160.420×0.4+0×2.5
=
=1.707 >1.5---OK RH
37.600
㸦㸧ᇶ♏ᆅ┙ࡢᨭᣢຊ࡟㛵ࡍࡿ᳨ウ
ྜຊస⏝఩⨨ࡀᗏ∧୰ኸࡢᗏ∧ᖜ 1/3 ࡢ୰࡟࠶ࡿࡓࡵࠊ
q1 㸪q2 =
RV
6×e 160.420
6×0.291
× ൬1±
൰=
× ൬1±
൰ =108.983㸪19.353 <120"ሺkN/m2 ሻ---OK
B
2.5
2.5
B
Ϭ㸬❿ቨࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟ࡼ
- 101 -
䝣䜵䞁䝇Ⲵ㔜䠖H=1.000kN/m2
1100
✚㍕Ⲵ㔜䠖q=10.000kN/m2
P1=2.000kN/m2
2700(=h)
3000
=16.933㼻
300
65
୺㕲➽䠖D16䠜200
300
P2=20.360kN/m2
ᇶ‽Ⅼ
300
2200
䠄ᑍἲ䛾༢఩䠖mm䠅
2500
ࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬ᅵᅽྜຊ PA
1
2
PA = ൬ ×Ț×h ×KA +q×h×KA ൰ × cosሺ%+ ሻ
2
1
"= ൬ ×17×2.702 ×0.4+5×2.700×0.4൰ × cosሺ0+16.933ሻ =28.877"(kN/m)
2
‫ۑ‬స⏝఩⨨ y
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+5×0.4=2.000"(kN/m)
P2 =17×2.7×0.4+5×0.4=20.360"(kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ20.360+2×2.000ሻ×2.7
=
=0.981"(m)
3×ሺP2 +P1 ሻ
3×ሺ20.360+2.000ሻ
࢖ ࣇ࢙ࣥࢫⲴ㔜
‫ۑ‬ỈᖹⲴ㔜
H=1.000"(kN)
‫ۑ‬స⏝఩⨨
Y=2.7+1.1=3.800"(m)
࢘ స⏝ຊࡢ㞟ィ
ࡏࢇ᩿ຊ(kN)
࢔࣮࣒㛗(m)
࣮࣓ࣔࣥࢺ(kN࣭m)
Ỉᖹຊ H
Y
M
ᅵᅽ
28.877
0.981
28.328
ࣇ࢙ࣥࢫⲴ㔜
1.000
3.800
3.800
ྜィ
29.877(=RH)
-
32.128
Ⲵ㔜ࡢ✀㢮
ᛂຊᗘࡢィ⟬
‫ۑ‬᭷ຠ㧗 d(mm)
୺㕲➽ࡢ୰ᚰࡲ࡛ࡢ㊥㞳ࡀ 65mm ࡛࠶ࡿࡢ࡛ࠊ㒊ᮦཌ 300mm ࡼࡾࠊ
d=300㸫65=235ሺmmሻ
- 102 -
‫ۑ‬㕲➽ࡢ᩿㠃✚ As(mm2)
༢఩ᖜ b=1000m ࡟ D16 ࡢ㕲➽୍ᮏ㎶ࡾࡢ᩿㠃✚㸸198.6mm2ࢆ 200mm 㛫㝸࡛㓄⨨ࡍࡿࡢ࡛ࠊ
As =198.6×
‫ۑ‬ᘬᙇ㕲➽ẚ p
=
1000
=993ሺଶ ሻ
200
As
993
=
=0.00423
b×d 1000×235
‫ࢢࣥࣖۑ‬ಀᩘẚ n=15
‫ۑ‬୰❧㍈ẚ k
2
2
k=×ඨn2 + ×n㸫×n=0.00423ඨͳͷ2 +
×15㸫0.00423×15=0.298

0.00423
‫ۑ‬ᛂຊ୰ᚰ㊥㞳 j
235
d
j= ൫3㸫k൯=
൫3㸫0.298൯=211.657
3
3
࢔ 㕲➽ࡢᘬᙇᛂຊᗘ
s
#M
32.128×106
=
=152.863ሺN/mm2 ሻ <
As ×j 993×211.657
s=
࢖ ࢥࣥࢡ࣮ࣜࢺࡢ᭤ࡆᅽ⦰ᛂຊᗘ
sa =215ሺN/mm
c
2 ሻ---OK
2×#M
2×32.128×106
=
=4.335ሺN/mm2 ሻ <
k×j×d×b 0.298×211.657×235×1000
c=
ca =8ሺN/mm
࢘ ࢥࣥࢡ࣮ࣜࢺࡢࡏࢇ᩿ᛂຊᗘ !c
!c =
2 ሻ---OK
29.877×103
RH
=
=0.141ሺN/mm2 ሻ <!ca =0.73ሺN/mm2 ሻ---OK
b×j 1000×211.657
ϭ㸬ᗏ∧ࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᆅ┙཯ຊ࡟ࡼࡿ࣮࣓ࣔࣥࢺཬࡧࡏࢇ᩿ຊ
‫ۑ‬ᗏ∧௜ࡅ᰿࡟࠾ࡅࡿᆅ┙཯ຊ q3
൫"q2 㸫q1 ൯×B'
൫108.983㸫19.353൯×2.2
+q1 =
+19.353=98.227"ሺkNሻ
B
2.5
‫ࢇࡏۑ‬᩿ຊ
q3 =
S=
൫"q3 +q1 ൯×B' ሺ98.227+19.353ሻ×2.2
=
=129.338"ሺkNሻ
2
2
‫ۑ‬స⏝఩⨨
y=
࢖ ⮬㔜
ሺ3 +2×ଵ ሻ×B' ሺ98.227+2×19.353ሻ×2.20
=
=0.854"(m)
3×ሺ98.227+19.353ሻ
3×൫q3 +q1 ൯
᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
2.20×2.70
ղ
ྜィ
༊ศ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
17
100.980
1.100
111.078
2.20×0.3
24
15.840
1.100
17.424
-
-
116.820
-
128.502
(kN/m3)
࢘ ✚㍕Ⲵ㔜
‫ۑ‬㖄┤Ⲵ㔜
Q=q×B'=10×2.20=22.000"(kN/mሻ
- 103 -
(=W×X)
✚㍕Ⲵ㔜䠖q=10.000kN/m2
85
䐠
300
2700
䐟
300
3000
୺㕲➽䠖D16䠜200
q1=19.353kN/m2
ᇶ‽Ⅼ
q2=108.983kN/m2
q3=98.227kN/m2
300
2200(=B’)
䠄ᑍἲ䛾༢఩䠖mm䠅
2500(=B)
‫ۑ‬స⏝఩⨨
X=
2.20
=1.100"(m)
2
࢚ స⏝ຊࡢ㞟ィ
ࡏࢇ᩿ຊ(kN)
Ⲵ㔜ࡢ✀㢮
࢔࣮࣒㛗(m) ࣮࣓ࣔࣥࢺ(kN࣭m)
㖄┤ຊ V
X
M
ᆅ┙཯ຊ
-129.338
0.854
-110.455
⮬㔜
116.820
-
128.502
✚㍕Ⲵ㔜
22.000
1.100
24.200
ྜィ
9.482(=RV)
-
42.247
ͤ ᗏ∧ࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࡀ❿ቨࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࢆ㉸࠼࡚࠸ࡿࡢ࡛ࠊᗏ
∧ࡘࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺࡣࠊ❿ቨ௜ࡅ᰿࡟ാࡃ᭤ࡆ࣮࣓ࣔࣥࢺ(=32.128 kN࣭m)࡜ࡍࡿࠋ
ᛂຊᗘࡢィ⟬
‫ۑ‬᭷ຠ㧗 d(mm)
୺㕲➽ࡢ୰ᚰࡲ࡛ࡢ㊥㞳ࡀ 85mm ࡛࠶ࡿࡢ࡛ࠊ㒊ᮦཌ 300mm ࡼࡾࠊ
d=300㸫85=215ሺmmሻ
‫ۑ‬㕲➽ࡢ᩿㠃✚ As(mm2)
༢఩ᖜ b=1000m ࡟ D16 ࡢ㕲➽୍ᮏ㎶ࡾࡢ᩿㠃✚㸸198.6mm2ࢆ 200mm 㛫㝸࡛㓄⨨ࡍࡿࡢ࡛ࠊ
As =198.6×
‫ۑ‬ᘬᙇ㕲➽ẚ p
p=
1000
=993ሺଶ ሻ
200
993
As
=
=0.00462
b×d 1000×215
‫ࢢࣥࣖۑ‬ಀᩘẚ n=15
‫ۑ‬୰❧㍈ẚ k
2
2
k=×ඨn2 + ×n㸫×n=0.00462ඨ152 +
×15㸫0.00462×15=0.309

0.00462
- 104 -
‫ۑ‬ᛂຊ୰ᚰ㊥㞳 j
d
215
j= ൫3㸫k൯=
൫3㸫0.309൯=192.855
3
3
࢔ 㕲➽ࡢᘬᙇᛂຊᗘ
s
6
s=
32.128×10
#M
=
=167.766ሺN/mm2 ሻ <
As ×j 993×192.855
࢖ ࢥࣥࢡ࣮ࣜࢺࡢ᭤ࡆᅽ⦰ᛂຊᗘ
c=
c
=215ሺN/mm
2×#M
2×32.128×106
=
=5.015ሺN/mm2 ሻ <
k×j×d×b 0.309×192.855×215×1000
2 ሻ---OK
ca =8ሺN/mm
࢘ ࢥࣥࢡ࣮ࣜࢺࡢࡏࢇ᩿ᛂຊᗘ !c
!c =
9.482×103
RV
=
=0.049ሺN/mm2 ሻ <!ca =0.73ሺN/mm2 ሻ---OK
b×j 1000×192.855
- 105 -
2 ሻ---OK
‣• ṆỈࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
⿬㎸○▼
ᆒࡋࢥࣥࢡ࣮ࣜࢺ㸦W 㸧
ᇶ♏○▼㸦W 㸧
㔜ຊᘧ᧦ቨᵓ㐀ᅗ㸦౛㸧
ỈᢤᏍࡣෆᚄੈ௨ୖࡢሷࣅ⟶➼ࢆ౑⏝ࡋࠊ㸱੍࡟
㸯⟠ᡤ௨ୖタࡅࡿࠋ
ỈᢤᏍ࡟ࡣ྾ฟࡋ㜵Ṇᮦ➼ࢆタ⨨ࡍࡿࠋ
ὀព஦㡯
.1P
ୖ㍕Ⲵ㔜
ࣇ࢙ࣥࢫⲴ㔜
.1P ̿
ᅵᅽಀᩘ
̿
チᐜᨭᣢຊᗘ
ᦶ᧿ಀᩘ
.1P ࢥࣥࢡ࣮ࣜࢺࡏࢇ᩿ᛂຊᗘ
1ੈ 1ੈ ࢥࣥࢡ࣮ࣜࢺ᭤ࡆᅽ⦰ᛂຊᗘ
.1P ࢥࣥࢡ࣮ࣜࢺタィᇶ‽ᙉᗘ
↓➽ࢥࣥࢡ࣮ࣜࢺ
⫼㠃ᅵ
1ੈ ༢఩య✚㔜㔞
.1P Ỉᖹ
◁㉁ᅵ
̿
̿
⫼㠃ᙧ≧
⫼㠃ᅵࡢ✀㢮
㹫
༢఩
᧦ቨ㧗
タィ᮲௳
㡯ࠉࠉࠉࠉ┠
⦰ᑻࠉ
༢఩ࠉ㹫㹫
᣻щࡸઢُ⅙᭗ↄ≝․† • ᵓ㐀ィ⟬౛
Ϩ㸬ᙧ≧࣭ᑍἲ
1100
䝣䜵䞁䝇Ⲵ㔜䠖H=1.000kN/m2
2000
✚㍕Ⲵ㔜䠖q=10.000kN/m2
26.565㼻
300
300
1000
䠄ᑍἲ䛾༢఩䠖mm䠅
1600
ϩ㸬タィ᮲௳
㡯┠
᮲௳
ᅵ㉁ࡢ✀㢮
༢఩
-
◁㉁ᅵ
17 kN/m3
༢఩య✚㔜㔞 Ț
⢓╔ຊ C
0 kN/m2
ᅵᅽಀᩘ KA
0.4 (ᨻ௧ู⾲➨஧)
-
⫼㠃ᅵ
❿ቨ㠃࡜ᅵࡢᦶ᧿ゅ Ȫ
16.933 (=2/3ȭ) °
ෆ㒊ᦶ᧿ゅȭ r࡜ࡋࡓ
ᅵ㉁᮲௳
26.565 °
❿ቨ⫼㠃࡜㖄┤㠃ࡢ࡞ࡍゅ Ș
0 °
ᆅ⾲㠃࡜Ỉᖹ㠃ࡢ࡞ࡍゅ ș
ᅵ㉁ࡢ✀㢮
⢓╔ຊ CB
ᨭᣢᆅ┙
0 kN/m2
㛗ᮇチᐜᛂຊᗘ qa
㖄┤Ⲵ㔜
ࢥࣥࢡ࣮ࣜࢺ
100 kN/m2
0.4 (ᨻ௧ู⾲➨୕)
ᦶ᧿ಀᩘ ȣ
Ⲵ㔜᮲௳
-
◁㉁ᅵ
-
✚㍕Ⲵ㔜 q
10 kN/m2
༢఩య✚㔜㔞
23 kN/m3
タィᇶ‽ᙉᗘ F
18 N/mm2
㛗ᮇチᐜᛂຊᗘ㸦ᅽ⦰㸧 σca
6 N/mm2
㛗ᮇチᐜᛂຊᗘ㸦ᘬᙇ㸧 σta
0.6 N/mm2
㛗ᮇチᐜᛂຊᗘ㸦ࡏࢇ᩿㸧 τca
0.6 N/mm2
Ϫ㸬᳨ウ㡯┠
᧦ቨ㧗ࡉࡀ 5m ௨ୗ࡛࠶ࡿࡓࡵࠊᖖ᫬࡟࠾ࡅࡿ᳨ウࡢࡳ⾜࠺ࠋ
㸦㸧Ᏻᐃィ⟬
᧦ቨࡢ㌿ಽཬࡧ⁥ືࡢᏳ඲⋡ࡀ 1.5 ௨ୖ࡛࠶ࡾࠊᆅ┙࡟⏕ࡌࡿᛂຊᗘࡀᆅ┙ࡢ㛗ᮇチᐜᛂຊᗘࢆ㉸
࠼࡞࠸ࡇ࡜ࠋ
㸦㸧㒊ᮦࡢᛂຊィ⟬
ࢥࣥࢡ࣮ࣜࢺ࡟⏕ࡌࡿᛂຊᗘࡀࠊ㛗ᮇチᐜᛂຊᗘࢆ㉸࠼࡞࠸ࡇ࡜ࠋ
- 107 -
ϫ㸬Ᏻᐃィ⟬
1100
䝣䜵䞁䝇Ⲵ㔜䠖H=1.000kN/m2
✚㍕Ⲵ㔜䠖q=10.000kN/m2
2000(=h)
P1=2.000kN/m2
䐟
䐠
䐡
26.565㼻
P1=15.600kN/m2
q1=3.750kN/m2
ᇶ‽Ⅼ
䠄ᑍἲ䛾༢఩䠖mm䠅
q2=66.019kN/m2
300
300
1000
1600(=B)
238(=e)
562(=d)
800 (=B/2)
㸦㸧Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟
ࡼࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬Ỉᖹᡂศ
࣭Ⲵ㔜
1
2
Ph = ൬ ×Ț×h ×KA +q×h×KA ൰ × cosሺα+σሻ
2
1
= ൬ ×17×2.002 ×0.4+5×2.00×0.4൰ × cosሺ26.565+16.933ሻ =12.767 (kN/m)
2
࣭స⏝఩⨨
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+5×0.4=2.000 (kN/m)
P2 =17×2×0.4+5×0.4=15.600 (kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ15.600+2×2.000ሻ×2
=
=0.742 (m)
3×ሺ15.600+2.000ሻ
3×ሺP2 +P1 ሻ
‫ۑ‬㖄┤ᡂศ
࣭Ⲵ㔜
1
2
Pv = ൬ ×Ț×h ×KA +q×h×KA ൰ × sinሺα+σሻ
2
1
= ൬ ×17×2.002 ×0.4+5×2.00×0.4൰ × sሺ26.565+16.933ሻ =12.115 (kN/m)
2
࣭స⏝఩⨨
x=B㸫y× tan α =1.6㸫0.742× tanሺ26.565ሻ=1.229
- 108 -
࢖ ⮬㔜 ᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
1/20.30×2.00
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
23
6.900
0.200
1.380
0.302.00
23
13.800
0.450
6.210
ճ
1/21.00×2.00
23
23.000
0.933
21.459
ྜィ
-
-
43.700
-
29.049
༊ศ
(kN/m3)
(=W×X)
࢚ ࣇ࢙ࣥࢫⲴ㔜
‫ۑ‬ỈᖹⲴ㔜
H=1.000 (kN)
‫ۑ‬స⏝఩⨨
Y=2.0+1.1ൌ3.100 (m)
࢜ స⏝ຊࡢ㞟ィ
Ⲵ㔜(kN)
Ⲵ㔜ࡢ✀㢮
࣮࣓ࣔࣥࢺ(kN࣭m)
X
Y
Ᏻᐃ࣮࣓ࣔࣥࢺ
㌿ಽ࣮࣓ࣔࣥࢺ
Mo
Mr
12.767
1.229
0.742
14.889
9.473
43.700
-
-
-
29.049
-
-
1.000
-
3.100
-
3.100
55.815
13.767
(=RV)
(=RH)
-
-
43.938
12.573
㖄┤ຊ
Ỉᖹຊ
㹔
㹆
ᅵᅽ
12.115
⮬㔜
ࣇ࢙ࣥࢫⲴ㔜
ྜィ
࢔࣮࣒㛗(m)
‫Ⲵۑ‬㔜ࡢྜຊస⏝఩⨨ d(m)
d=
ΣMo 㸫ΣMɀ 43.938㸫12.573
=
=0.562(m)
55.815
Rv
㸦㸧㌿ಽ࡟㛵ࡍࡿ᳨ウ
࢔ Ᏻ඲⋡࡟㛵ࡍࡿ᳨ウ
Fs =
ΣMo 43.938
=
=3.495 >1.5---OK
ΣMr 12.573
࢖ ೫ᚰ㊥㞳࡟㛵ࡍࡿ᳨ウ
e=
B
1.6
B
㸫d=
㸫0.562=0.238 < =0.267---OK
2
2
6
㸦㸧⁥ື࡟㛵ࡍࡿ᳨ウ
Fs =
RV ×μ+CB ×B 55.815×0.4+0×1.6
=
=1.622 >1.5---OK RH
13.767
㸦㸧ᇶ♏ᆅ┙ࡢᨭᣢຊ࡟㛵ࡍࡿ᳨ウ
ྜຊస⏝఩⨨ࡀᗏ∧୰ኸࡢᗏ∧ᖜ 1/3 ࡢ୰࡟࠶ࡿࡓࡵࠊ
q1 㸪q2 =
6×e 55.815
6×0.238
RV
× ൬1±
൰=
× ൬1±
൰ =66.019㸪3.750 <100 ሺkN/m2 ሻ---OK
B
1.6
1.6
B
Ϭ㸬❿ቨࡢᛂຊィ⟬
Ⲵ㔜ཬࡧ࣮࣓ࣔࣥࢺ
࢔ ᅵᅽ
ͤ Ꮿᆅ㐀ᡂ➼つไἲ᪋⾜௧ࡢู⾲➨஧ࡢᅵᅽಀᩘ㸦KA=0.4㸧࡟ࡣࠊ5kN/m2 ⛬ᗘࡢ✚㍕Ⲵ㔜࡟ࡼ
- 109 -
2000(=h)
1100
䝣䜵䞁䝇Ⲵ㔜䠖H=1.000kN/m2
䐡
䐠
Pv=12.115N/m2
V=43.700N/m2
Ph=12.767N/m2
742
䐟
26.565㼻
ᇶ‽Ⅼ
300
300
1000
135
䠄ᑍἲ䛾༢఩䠖mm䠅
429
800 (=B/2)
1600(=B)
ࡿᅵᅽࡀྵࡲࢀ࡚࠸ࡿࡇ࡜࠿ࡽࠊᅵᅽࡢィ⟬࡛ࡣ✚㍕Ⲵ㔜࠿ࡽ 5kN/m2 ࢆ᥍㝖ࡍࡿࠋ
‫ۑ‬Ỉᖹᡂศ
࣭ᅵᅽຊ
1
2
Ph = ൬ ×Ț×h ×KA +q×h×KA ൰ × cosሺα+σሻ
2
1
= ൬ ×17×2.002 ×0.4+5×2.00×0.4൰ × cosሺ26.565+16.933ሻ =12.767 (kN/m)
2
࣭స⏝఩⨨
ᅵᅽస⏝㠃ࡢୖ➃ᅵᅽ P1 ཬࡧୗ➃ᅵᅽ P2 ࡣࠊP=Ț×h×KA +q×KA ࡼࡾࠊ
P1 =17×0×0.4+ͷ×0.4=2.000 (kN/m)
P2 =17×2×0.4+5×0.4=15.600 (kN/m)
ᅵᅽࡣྎᙧศᕸ࡜࡞ࡿࡓࡵࠊస⏝఩⨨㸦ྎᙧࡢ㔜ᚰ㸧ࡣࠊ
y=
ሺP2 +2×P1 ሻ×h ሺ15.600+2×2.000ሻ×2
=
=0.742 (m)
3×ሺ15.600+2.000ሻ
3×ሺP2 +P1 ሻ
‫ۑ‬㖄┤ᡂศ
࣭ᅵᅽຊ
1
2
Pv = ൬ ×γ×h ×KA +q×h×KA ൰ × sinሺα+σሻ
2
1
= ൬ ×17×2.002 ×0.4+5×2.00×0.4൰ × sሺ26.565+16.933ሻ =12.115 (kN/m)
2
࣭స⏝఩⨨
x=y× tan α 㸫B/2=0.742× tanሺ26.565ሻ㸫0.800=㸫0.429
࢖ ⮬㔜 ᩿㠃✚ A(m2)
༢఩㔜㔞
ձ
1/20.30×2.00
ղ
࣮࣓ࣔࣥࢺ M(kN࣭m)
㔜㔞 W(kN)
స⏝఩⨨ X(m)
23
6.900
0.200
1.380
0.302.00
23
13.800
0.450
6.210
ճ
1/21.00×2.00
23
23.000
0.933
21.459
ྜィ
-
-
43.700
0.665(=XG=M/W)
29.049
༊ศ
(kN/m3)
- 110 -
(=W×X)
‫ۑ‬స⏝఩⨨
X=B/2㸫XG =0.8㸫0.665=0.135 (m)
࢘ ࣇ࢙ࣥࢫⲴ㔜
‫ۑ‬ỈᖹⲴ㔜
H=1.000 (kN)
‫ۑ‬స⏝఩⨨
Y=2.0+1.1ൌ3.100 (m)
࢜ స⏝ຊࡢ㞟ィ
Ⲵ㔜(kN)
Ⲵ㔜ࡢ✀㢮
㖄┤ຊ
Ỉᖹຊ
㹔
㹆
ᅵᅽ
12.115
⮬㔜
ࣇ࢙ࣥࢫⲴ㔜
ྜィ
࢔࣮࣒㛗(m)
࣮࣓ࣔࣥࢺ(kN࣭m)
X
Y
Mx
My
12.767
-0.429
0.742
-5.197
9.473
43.700
-
0.135
-
5.900
-
-
1.000
-
3.100
-
3.100
55.815
13.767
12.573
(=S)
-
0.703
(=N)
-
13.276
ᛂຊᗘࡢィ⟬
‫ۑ‬༢఩ᖜ b(mm)
b=1000ሺmmሻ
‫ࡢࢺ࣮ࣜࢡࣥࢥۑ‬඲᩿㠃✚ A(N/mm2)
A=b×B=1000×1600=1.600×106 ሺmm2 ሻ
‫ۑ‬᩿㠃ಀᩘ W(mm3)
W=
b×B2 1000×16002
=
=426.667×106 ሺmm2 ሻ
6
6
࢔ ᭤ࡆᛂຊᗘ σ㸦ᅽ⦰ᛂຊᗘ σcaࠊᘬᙇᛂຊᗘ σta㸧
ᅽ⦰ᛂຊᗘࢆṇ࡜ࡍࡿࠋ
N M 55.815×103 13.267×106
±
=0.066, 0.004ሺN/mm2 ሻ <σca =6.000ሺN/mm2 ሻ---OK
ɐ= ± =
A W 1.600×106 426.667×106
ͤσ㸼0 ࡛࠶ࡾࠊ㌣య࡟ᘬᙇᛂຊᗘࡣ⏕ࡌ࡞࠸ࠋ
࢘ ࡏࢇ᩿ᛂຊᗘ τca
τca =
S 13.767×103
=
=0.009ሺN/mm2 ሻ <τca =0.600ሺN/mm2 ሻ---OK
A 1.600×106
- 111 -
■鉄筋の断面積（mm2）
呼び名
１本当り
断面積
ピッチ（１m 当り本数）
100mm
125mm
150mm
200mm
250mm
300mm
（10 本）
（8 本）
（6.67 本）
（5 本）
（4 本）
（3.33 本）
D13
126.7
1,267
1,014
845
634
507
422
D16
198.6
1,986
1,589
1,325
993
794
661
D19
286.5
2,865
2,292
1,911
1,433
1,146
954
D22
387.1
3,871
3,097
2,582
1,936
1,548
1,289
D25
506.7
5,067
4,054
3,380
2,534
2,027
1,687
- 112 -

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