Problem 1 A built-up beam section is formed by welding 2xL8x6x1 angles to the bottom flange of W36x210 as shown in Fig. 1. Determine the following section properties of the built-up cross section: 1. Cross sectional area, A (in²) 2. The location of the centroids CG-X and CG-Y id of the built up section from the bottom of angle (this value is given, so you need to check that you get this value) 3. Moments of inertia Icc-x (in) and ICG-Y (in³) 4. Section modulus Sx (bot) (in³) and Sx (top) (in³) 5. Radius of gyration rx (in) and ry (in) 6. Weight of the built up section, w (lb/ft) (use density of steel = 490 pcf) 7. Surface area of the built-up section, S(ft²/ft) | CG-Y Y top W36x210 X CG-X Y bot 2.65 in 7.2 in 7.2 in 6.0 in d= 36.7 in L8x6x1 T 1816x1 8.0 in 1.65 in Fig. 1

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A built-up beam section is formed by welding 2xL8x6x1 angles to the bottom flange of        
W36x210 as shown in Fig. 1.  
Determine the following section properties of the built-up cross section: 
a. Cross sectional area, A (in2) 
b. The location of the centroids CG-X and CG-Y id of the built up section from the bottom of angle ( this value is given, so you need to check that you get this value) 
c. Moments of  inertia  ICG-X (in4) and ICG-Y (in4) 
d. Section modulus Sx (bot) (in3) and Sx (top) (in3) 
e. Radius of gyration rx (in) and ry (in) 
f. Weight of the built up section, w (lb/ft) (use density of steel = 490 pcf)

g. Surface area of the built-up section, S(ft2/ft)

Problem 1
A built-up beam section is formed by welding 2xL8x6x1 angles to the bottom flange of
W36x210 as shown in Fig. 1.
Determine the following section properties of the built-up cross section:
1. Cross sectional area, A (in²)
2. The location of the centroids CG-X and CG-Y id of the built up section from the
bottom of angle (this value is given, so you need to check that you get this value)
3. Moments of inertia Icc-x (in) and ICG-Y (in³)
4. Section modulus Sx (bot) (in³) and Sx (top) (in³)
5. Radius of gyration rx (in) and ry (in)
6. Weight of the built up section, w (lb/ft) (use density of steel = 490 pcf)
7. Surface area of the built-up section, S(ft²/ft)
| CG-Y
Y top
W36x210
X
CG-X
Y bot
2.65 in
7.2 in
7.2 in
6.0 in
d= 36.7 in
L8x6x1
T
1816x1
8.0 in
1.65 in
Fig. 1
Transcribed Image Text:Problem 1 A built-up beam section is formed by welding 2xL8x6x1 angles to the bottom flange of W36x210 as shown in Fig. 1. Determine the following section properties of the built-up cross section: 1. Cross sectional area, A (in²) 2. The location of the centroids CG-X and CG-Y id of the built up section from the bottom of angle (this value is given, so you need to check that you get this value) 3. Moments of inertia Icc-x (in) and ICG-Y (in³) 4. Section modulus Sx (bot) (in³) and Sx (top) (in³) 5. Radius of gyration rx (in) and ry (in) 6. Weight of the built up section, w (lb/ft) (use density of steel = 490 pcf) 7. Surface area of the built-up section, S(ft²/ft) | CG-Y Y top W36x210 X CG-X Y bot 2.65 in 7.2 in 7.2 in 6.0 in d= 36.7 in L8x6x1 T 1816x1 8.0 in 1.65 in Fig. 1
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