2. A simply supported composite beam 5.9 m long carries a uniformly distributed load w (Fig. 2a). The beam is constructed of a Southern pine [E = 12 GPa] timber, 200 mm wide by 360 mm deep, that is reinforced on its lower surface by a steel [E = 200 GPa] plate that is 150 mm wide by 12 mm thick (Fig. 2b). a. Determine the maximum bending stresses produced in the timber and the steel if w = 12 kN/m. b. Assume that the allowable bending stresses of the timber and the steel are 9 MPa and 174 MPa, respectively. Determine the largest acceptable magnitude for distributed load w. (You may neglect the weight of the beam in your calculations.) c. Based on your analysis in point B, what factors affect the ability of a beam to withstand loads?; Elaborate your answer! 360 mm B 5.9m PL 150 12 200 mm Fig. 2a Fig. 2b

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2. A simply supported composite beam 5.9 m long carries a uniformly distributed load w (Fig.
2a). The beam is constructed of a Southern pine [E = 12 GPa] timber, 200 mm wide by 360
mm deep, that is reinforced on its lower surface by a steel [E = 200 GPa] plate that is 150 mm
wide by 12 mm thick (Fig. 2b).
a. Determine the maximum bending stresses produced in the timber and the steel if w = 12
kN/m.
b. Assume that the allowable bending stresses of the timber and the steel are 9 MPa and
174 MPa, respectively. Determine the largest acceptable magnitude for distributed load
w. (You may neglect the weight of the beam in your calculations.)
c. Based on your analysis in point B, what factors affect the ability of a beam to withstand
loads?; Elaborate your answer!
360 mm
B
5.9 m
PL 150 12
200 mm
Fig. 2a
Fig. 2b
Transcribed Image Text:2. A simply supported composite beam 5.9 m long carries a uniformly distributed load w (Fig. 2a). The beam is constructed of a Southern pine [E = 12 GPa] timber, 200 mm wide by 360 mm deep, that is reinforced on its lower surface by a steel [E = 200 GPa] plate that is 150 mm wide by 12 mm thick (Fig. 2b). a. Determine the maximum bending stresses produced in the timber and the steel if w = 12 kN/m. b. Assume that the allowable bending stresses of the timber and the steel are 9 MPa and 174 MPa, respectively. Determine the largest acceptable magnitude for distributed load w. (You may neglect the weight of the beam in your calculations.) c. Based on your analysis in point B, what factors affect the ability of a beam to withstand loads?; Elaborate your answer! 360 mm B 5.9 m PL 150 12 200 mm Fig. 2a Fig. 2b
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