෍ 𝐹𝑋 = 0 → 𝐴𝑋 = 0
෍ 𝑀𝐴 = 0 → −25ሺ1ሻ − 5ሺ2ሻ − 20ሺ4ሻ + 𝐵𝑌 ሺ7ሻ = 0
𝐵𝑌 =
115
= 16.42857143
7
෍ 𝐹𝑌 = 0 → 𝐴𝑌 − 25 − 5 − 20 +
B is Roller → 𝐵𝑦
A is Pin → 𝐴𝑦 , 𝐴𝑥
𝟐𝟑𝟓
𝟕
𝟐𝟓KN
KN
A
𝐴𝑌 =
𝟓KN
C
𝟏𝒎
235
= 33.57142857
7
𝟏𝟏𝟓
𝟐𝟎KN
D
𝟏𝒎
115
=0
7
𝟕
E
𝟐𝒎
B
𝟑𝒎
𝟐𝟑𝟓
𝟕
𝟐𝟑𝟓
𝟕
𝟔𝟎
𝟕
S.D
𝟔𝟎
𝟕
𝟐𝟓
𝟕
𝟓𝟎
𝟕
−𝟑𝟒𝟓
𝟕
−𝟏𝟏𝟓
𝟕
𝟐𝟗𝟓
𝟕
𝟑𝟒𝟓
𝟕
𝟐𝟑𝟓
𝟕
M.D
𝑀𝐴 = 0
𝑀𝐶 − 𝑀𝐴 =
235
𝑀𝐶 = 7
235
,
7
𝑀𝐷 − 𝑀𝐶 =
295
𝑀𝐷 = 7
60
,
7
𝑀𝐸 − 𝑀𝐷 =
345
𝑀𝐸 = 7
50
,
7
KN
𝑀𝐵 − 𝑀𝐸 =
𝑀𝐵 = 0
−345
,
7
10
Distributed load→ 25 × 10 = 250, 𝑑 𝑓𝑟𝑜𝑚 𝐴 = 2 = 5
𝐼𝑛 𝐶 𝑡ℎ𝑒𝑟𝑒 𝑎𝑟𝑒 𝑓𝑜𝑟𝑐𝑒 = 250 𝑎𝑛𝑑 50, 𝑡ℎ𝑒𝑟𝑒𝑓𝑜𝑟𝑒 𝑡ℎ𝑒𝑟𝑒 𝑎𝑟𝑒 300.
෍ 𝐹𝑋 = 0 → 𝐴𝑋 = 0
෍ 𝑀𝐴 = 0 → −300ሺ5ሻ + 𝐵𝑌 ሺ10ሻ − 50ሺ14ሻ = 0
𝐵𝑌 = 220
෍ 𝐹𝑌 = 0 → 𝐴𝑌 − 300 + 220 − 50 = 0
B is Roller → 𝐵𝑦
A is Pin → 𝐴𝑦 , 𝐴𝑥
𝐴𝑌 = 130
300KN
130KN
A
220KN
C
5m
50KN
B
D
4m
5m
130
𝟔𝟓𝟎
50
𝟐𝟎𝟎
S.D
−𝟖𝟓𝟎
−170
650
M.D
-200
𝑀𝐴 = 0
𝑀𝐶 − 𝑀𝐴 = 650,
𝑀𝐶 = 650
𝑀𝐵 − 𝑀𝐶 = −850,
𝑀𝐵 = −200
𝑀𝐷 − 𝑀𝐵 = 200
𝑀𝐷 = 0