Determining Reactions and Loads in a Floor Framing Plan, Exercises of Structural Design and Architecture

A problem related to determining the reactions and loads on beams and columns in a floor framing plan under uniform distributed loads. The problem includes partial answers for verification and requires the use of centroid properties. Likely to be useful for students in civil engineering or structural engineering courses, particularly those related to statics and structural analysis.

Typology: Exercises

2011/2012

Uploaded on 12/22/2012

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Problems: Onouye, Chapter 4 and 5A
Note: Problems marked with a * have been altered with respect to the problem stated in the text.
5A) The floor framing plan is subject to uniform distributed loads of: dead load = 45 psf, live
load = 120 psf. Determine the resulting reactions by the beams & load on the columns.
(load tracing)
Partial answer to check with: RB2 = 16706.25 lb, RG3@G1 = 10395 lb,
R
G1@C1 =12529.7 lb, PonC2 =20,822.8 lb .
Partial answers to check with: Ay = +1,733 lb.,
B
x = 0, By = +3,067 lb.
Partial answers to check with: Ax = 0,
A
y = -1.5 kN, By = +10.5 kN
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(25%)
(15%)
(15%)
(distributed loads)
(distributed loads)
C2
G4
dead load = 45 psf live load = 120 psf
B1 B2
C1
C3
C4
C2
G2
G1
18 ft
C1
C4 C3
G3
14 ft 8.5 ft
opening
6 ft
B1
G3
G1
B2
G2
G4
pf2

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Problems: Onouye, Chapter 4 and 5A Note: Problems marked with a * have been altered with respect to the problem stated in the text.

5A) The floor framing plan is subject to uniform distributed loads of: dead load = 45 psf, live load = 120 psf. Determine the resulting reactions by the beams & load on the columns. (load tracing) Partial answer to check with: R (^) B2 = 16706.25 lb, RG3@G1 = 10395 lb, RG1@C1 =12529.7 lb, PonC2 =20,822.8 lb.

Partial answers to check with: A (^) y = +1,733 lb., Bx = 0, By = +3,067 lb.

Partial answers to check with: A (^) x = 0, Ay = -1.5 kN, By = +10.5 kN

MORE NEXT PAGE

(distributed loads)

(distributed loads)

C

G

dead load = 45 psf live load = 120 psf

B1 B

C

C4 C

C

G

G

18 ft

C

C4 (^) C

G

14 ft

8.5 ft

opening 6 ft

B G

G

B

G G

(W310x143)

(309 mm)

ref. origin

Partial answers to check with: xˆ = 10. 5 ', yˆ = 5. 2 '

Partial answers to check with: xˆ^ = 0 , yˆ = 196 mm

*Use metric units, and a W310x143. (W310x129 is not listed.)

(centroids)

(centroids)