Cee 312(5)(structural analysis)

18
CEE-312 Structural Analysis and Design Sessional-I (1.0 credit) Lecture: 5 Bijit Kumar Banik Assistant Professor, CEE, SUST Room No.: 115 (“C”building) [email protected] Department of Civil and Environmental Engineering

Transcript of Cee 312(5)(structural analysis)

CEE-312

Structural Analysis and Design Sessional-I

(1.0 credit)Lecture: 5

Bijit Kumar Banik

Assistant Professor, CEE, SUSTRoom No.: 115 (“C” building)

[email protected]

Department of Civil and Environmental Engineering

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

L0L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

4.54 k2.60 k

(- 1.19) (-1.19) (-0.95) (-3.11) (-5.64) (-5.64)

(5.14)

(5.00)

(4.85) (4.07)

(5.61)

(7.14)(0)

(-0.

13)

(-1.

41)

(0)

(-3.

07)

(0.35)(0.27) (3.7

8)

(2.90)

3.24k

L R

0.23k

0.23k

0.12k

0.12k

2.46k

2.46k

1.23k

1.23k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

L0L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

4.54 k 2.60 k

3.24k

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k

0.12k

0.12kR L

Analysis and design of an Industrial roof truss sys tem

1

1

∑V = 0(5/10.3)*L0U1+(9/10.3)*1.23 – 4.54 = 0L0U1= 7.14 k (T) 5

9

10.3

∑H = 0

L0L1 +(9/10.3)*7.14 +3.24 – (5/10.3)*1.23 =0L0L1= 8.88 k (C)

4.54 k

1.23k

L0L1

L0U1

1-1

3.24 k

95

10.3

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

R1

R2

H

[email protected] ft

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

59

10.3

95

10.3

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

∑V= 0

L1U1 = 0

L1L2 = L0L1 = 8.88k (C)

∑H= 0

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

R1

R2

H

[email protected] ft

59

10.3

95

10.3

= 3.24k

2 2

L1L2

2-2

L0L1=8.88k

L1U1

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

= 4.54k= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

3

3

9

510.3

95

10.3

95

10.3

∑ML0 = 0– 2.46*6.86+ (5/10.3)*U1L2*6 + (9/10.3)*U1L2*(10/3)= 0

U1L2= 2.90 k (T)∑V = 0

(9/10.3)*1.23+(9/10.3)*2.46 + (5/10.3)*U1U2– (5/10.3)*2.90 – 4.54= 0

U1U2= 5.61 k (T)

+ve 3-3

U1

L0 L1 L2

U22.46 k

1.23 k

4.54k

(10/3)’

8.88k3.24k

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

4 4

∑H = 0

L2L3= 6.35 k (C)

59

10.3

L2L3

4-4

8.88k

L2U22.90k

∑V = 0L2U2 = (5/10.3)*2.90

L2U2= 1.41 k (C)

L2L3 +8.88 – (9/10.3)*2.90 = 0

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

5

5

109

13.45

59

10.3

∑ML0 = 0

(9/13.45)*U2L3*(20/3)+ (10/13.45)*U2L3*12 – 2.46*6.86 – 2.46*2*6.86 = 0

U2L3= 3.78 k (T)∑V = 0(5/10.3)*U2U3+ (9/10.3)*(1.23+2.46+2.46)– (10/13.45)*3.78 – 4.54 = 0

U2U3= 4.07 k (T)

+ve

95

10.3

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k5-5

L0 L1 L2 L3

U1

U2

U3

1.23 k

4.54 k

2.46 k

6.35 k

2*(10/3)

2.46 k

3.24 k

Analysis and design of an Industrial roof truss sys tem

(5/10.3)*U5L6+(9/10.3)*0.12 – 2.60 = 0∑V= 0

U5L6 = 5.14k (T)

∑H= 0

L5L6 = 4.43k (C)

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

6

6

59

10.35

910.3

2.60 k

U5L6 0.12k6-6

L5L6(5/10.3)*0.12 – (9/10.3)*5.14 – L5L6= 0

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

7 7

∑H = 04.43k

7 – 7

L4L5

L5U5

∑V = 0

L5U5= 0

L4L5 = 4.43k (C)

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

8

8

59

10.3

9510.3

95

10.3

∑ML6 = 00.23*6.86 – (5/10.3)*U5L4*6 – (9/10.3)*U5L4*(10/3)= 0

U5L4= 0.27 k (T)∑V = 0

(9/10.3)*0.23+(9/10.3)*0.12 + (5/10.3)*U4U5– (5/10.3)*0.27 – 2.60= 0

U4U5= 5.0 k (T)

+ve

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

L6

U5

L5L4

U4

0.23k

0.12k

2.60k

8-8

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

9 9

∑H = 0

L3L4= 4.19 k (C)

∑V = 0L4U4 = (5/10.3)*0.27

L4U4= 0.13 k (C)

L3L4+ (9/10.3)*0.27 – 4.43 = 0

9510.3

4.43k

9-9L4U4

0.27k

L3U4

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

10

10

95

10.3

910

13.459

5

10.3

0.23k

0.23k

0.12k

2.60k

L6L5L4L3

U3

U5

U4

4.19k

10 -10 ∑ML6 = 0

–(9/13.45)*U4L3*(20/3) – (10/13.45)*U4L3*12 + 0.23*6.86 +0.23*2*6.86 = 0

U4L3= 0.35 k (T)∑V = 0(5/10.3)*U3U4 + (9/10.3)*(0.12+2*0.23)– (10/13.45)*0.35 – 2.60 = 0

U3U4= 4.85 k (T)

+ve

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

6@6 ft = 36 ft

10 ft

L0 L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

[email protected] ft

59

10.3

95

10.3

11 11

∑V = 0

91013

.45

910

13.45

3.11k

11 – 11

0.95k

L3U3

L3

3.78k 0.35k(10/13.45)*3.78 + (10/13.45)*0.35 – L3U3= 0

L3U3= 3.07 k (C)

2.46k

2.46k

1.23k

1.23k

0.23k

0.23k0.12k

0.12k

R1

R2

= 3.24k= 4.54k

= 2.60k

Analysis and design of an Industrial roof truss sys tem

(- 8.88) (-8.88) (-6.35) (-4.19) (-4.43) (-4.43)

(7.14)

(5.61)

(4.07) (4.85)

(5.00)

(5.14)

6@6 ft = 36 ft

L0L1 L2 L3 L4 L5

L6

U1

U2

U3

U4

U5

2.60 k4.54 k

(0)

(-0.

13)

(-1.

41)

(0)

(-3.

07)

(3.78)(2.90) (0.3

5)

(0.27)

3.24k

R L

Analysis and design of an Industrial roof truss sys tem

R L

(- 8.88) (-8.88) (-6.35) (-4.19) (-4.43) (-4.43)

(7.14)(5.61)

(4.07) (4.85)(5.00)

(5.14)

6@6 ft = 36 ft

L0 L1 L2 L3 L4 L5L6

U1

U2

U3

U4

U5

2.60 k4.54 k

(0)

(-0.

13)

(-1.

41)

(0)(-

3.07

)

(3.78)(2.90) (0.3

5)(0.27)

3.24k

L→R

6@6 ft = 36 ft

L0 L1 L2 L3 L4 L5L6

U1

U2

U3

U4

U5

4.54 k2.60 k

(- 1.19) (-1.19) (-0.95) (-3.11) (-5.64) (-5.64)

(5.14)(5.00)

(4.85) (4.07)(5.61)

(7.14)(0)

(-0.

13)

(-1.

41)

(0)(-

3.07

)

(0.35)(0.27) (3.7

8)

(2.90)

3.24k

Analysis and design of an Industrial roof truss sys tem

R L

(- 8.88) (-8.88) (-6.35) (-4.19) (-4.43) (-4.43)(7.14) (5.61) (4.07) (4.85) (5.00) (5.14)

6@6 ft = 36 ft

L0 L1 L2 L3 L4 L5L6

U1

U2

U3

U4

U5

2.60 k4.54 k

(0)

(-0.

13)

(-1.

41)

(0)(-3.

07)(3.78)(2.90) (0

.35)

(0.27)

3.24k

L→R

6@6 ft = 36 ft

L0 L1 L2 L3 L4 L5L6

U1

U2

U3

U4

U5

4.54 k2.60 k

(- 1.19) (-1.19) (-0.95) (-3.11) (-5.64) (-5.64)(5.14) (5.00) (4.85) (4.07) (5.61) (7.14)(0

)

(-0.

13)

(-1.

41)

(0)(-3.

07)(0.35)(0.27) (3

.78)

(2.90)

3.24k

(4.41) (4.41) (3.53) (3.53) (4.41) (4.41)(- 5.05) (- 4.04) (- 3.03) (- 3.03) (- 4.04) (- 5.05)

6@6 ft = 36 ft

L0 L1 L2 L3 L4 L5L6

U1

U2

U3

U4

U5

2.94 k2.94 k

(.18

)

(0.6

7)

(0.6

7)

(.18

)

(2.1

4)(- 1.32)(- 1.01) (-

1.32

)

(- 1.01)

Dead Load