Question 3 (CLO#2) The beam structure shown in Figure 2 below supports a uniformly distributed load of 100 kN/m and a concentrated load of 250 kN. The beam has a box-shaped cross-section with the dimensions provided below. Determine the following: a) The magnitudes and location of the maximum bending moment and shear force that occur in the beam. b) The geometric centroid and moment of inertia of the box beam cross-section. c) The magnitude and location of the maximum bending stress(es) within the beam.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
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Question 3 (CLO#2) The beam structure shown in Figure 2 below supports a uniformly distributed load of 100 kN/m and a concentrated load of 250 kN. The beam has a box-shaped cross-section with the dimensions provided below. Determine the following: .a)  The magnitudes and location of the maximum bending moment and shear force that occur in the beam. .b)  The geometric centroid and moment of inertia of the box beam cross-section. .c)  The magnitude and location of the maximum bending stress(es) within the beam. .d)  Based on your findings from part c), determine which of the following ductile materials would be most appropriate for the design of this beam (considering strength only). Discuss your reasoning. o Material A with yield strength of 175 MPa o Material B with yield strength of 345 MPa o Material C with yield strength of 210 MPa
Question 2 (CLO#2)
The propped cantilever continuous beam structure shown in Figure 1 below supports a
concentrated load of 30 kN. Take El as constant along the length of the beam.
a) Calculate the support reactions at supports A, B, and C.
b) Draw shear force and bending moment diagrams for the beam and label all salient points.
30 kN
A
0 0
B
A
2.5 m
Figure 1. Propped cantilever continuous beam with concentrated load (Question 2)
Question 3 (CLO#2)
The beam structure shown in Figure 2 below supports a uniformly distributed load of 100 kN/m and a
concentrated load of 250 kN. The beam has a box-shaped cross-section with the dimensions provided
below. Determine the following:
O Material B with yield strength of 345 MPa
Material C with yield strength of 210 MPa
a) The magnitudes and location of the maximum bending moment and shear force that occur in the
beam.
100 kN/m
b)
The geometric centroid and moment of inertia of the box beam cross-section.
c)
The magnitude and location of the maximum bending stress(es) within the beam.
d) Based on your findings from part c), determine which of the following ductile materials would be
most appropriate for the design of this beam (considering strength only). Discuss your reasoning.
O Material A with yield strength of 175 MPa
6 m
4 m
250 kN
6 m
C
1.5 m
B
70 mm
70 mm
70 mm
70 mm
300 mm
Figure 2. Simply-supported beam (Question 3)
550 mm
Transcribed Image Text:Question 2 (CLO#2) The propped cantilever continuous beam structure shown in Figure 1 below supports a concentrated load of 30 kN. Take El as constant along the length of the beam. a) Calculate the support reactions at supports A, B, and C. b) Draw shear force and bending moment diagrams for the beam and label all salient points. 30 kN A 0 0 B A 2.5 m Figure 1. Propped cantilever continuous beam with concentrated load (Question 2) Question 3 (CLO#2) The beam structure shown in Figure 2 below supports a uniformly distributed load of 100 kN/m and a concentrated load of 250 kN. The beam has a box-shaped cross-section with the dimensions provided below. Determine the following: O Material B with yield strength of 345 MPa Material C with yield strength of 210 MPa a) The magnitudes and location of the maximum bending moment and shear force that occur in the beam. 100 kN/m b) The geometric centroid and moment of inertia of the box beam cross-section. c) The magnitude and location of the maximum bending stress(es) within the beam. d) Based on your findings from part c), determine which of the following ductile materials would be most appropriate for the design of this beam (considering strength only). Discuss your reasoning. O Material A with yield strength of 175 MPa 6 m 4 m 250 kN 6 m C 1.5 m B 70 mm 70 mm 70 mm 70 mm 300 mm Figure 2. Simply-supported beam (Question 3) 550 mm
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