Figure 2(a) shows a beam having two point loads acting at point B and C respectively. The cross- sectional dimension of the beam is shown in Figure 2(b). i. Develop the shear force and bending moment equations of the beam. ii. Sketch the shear force and bending moment diagrams of the beam and label their values at all important points. All working steps must be shown clearly. iii. Determine the second moment of area or moment of inertia for the cross-section about its neutral axis. iv. Determine the absolute maximum bending stress of the beam. A 0.5 m 160 mm 1500 N ↓ B 40 mm 0.5 m Figure 2(a) 120 mm 40 mm 1500 N ↓ C 40 mm 0.5 m 15 mm D

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.3.13P: A counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure)....
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Figure 2(a) shows a beam having two point loads acting at point B and C respectively. The cross-
sectional dimension of the beam is shown in Figure 2 (b).
i. Develop the shear force and bending moment equations of the beam.
ii. Sketch the shear force and bending moment diagrams of the beam and label their values at all
important points. All working steps must be shown clearly.
iii. Determine the second moment of area or moment of inertia for the cross-section about its
neutral axis.
iv. Determine the absolute maximum bending stress of the beam.
A
0.5 m
160 mm
1500 N
↓
B
40 mm
0.5 m
Figure 2(a)
120 mm
40 mm
1500 N
↓
C
40 mm
0.5 m
15 mm
D
Transcribed Image Text:Figure 2(a) shows a beam having two point loads acting at point B and C respectively. The cross- sectional dimension of the beam is shown in Figure 2 (b). i. Develop the shear force and bending moment equations of the beam. ii. Sketch the shear force and bending moment diagrams of the beam and label their values at all important points. All working steps must be shown clearly. iii. Determine the second moment of area or moment of inertia for the cross-section about its neutral axis. iv. Determine the absolute maximum bending stress of the beam. A 0.5 m 160 mm 1500 N ↓ B 40 mm 0.5 m Figure 2(a) 120 mm 40 mm 1500 N ↓ C 40 mm 0.5 m 15 mm D
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