.) Calculate the cantilever support reactions at A b.) Calculate and draw the stress distribution due to the bending moment at support A  c.) Calcualte and draw the shear stress distribution at support A. d.) At the neutral axis of the section at support A, calculate the principal stresses σ1 and  σ2 and the principal plane orientations θp1 and θp2. Show the Mohr circle of stresses.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.32P: The compound beam shown in the figure consists of a cantilever beam AB (length L) that is...
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a.) Calculate the cantilever support reactions at A

b.) Calculate and draw the stress distribution due to the bending moment at support A 

c.) Calcualte and draw the shear stress distribution at support A.

d.) At the neutral axis of the section at support A, calculate the principal stresses σ1 and 
σ2 and the principal plane orientations θp1 and θp2. Show the Mohr circle of stresses. 

A beam with I-shape cross section has a span of 4 m as shown in Figure Q3. The cross
section of the I-beam is also shown. The beam is cantilever supported at A. A diagonal
tension cable BC, wth an inclination angle of 30 degree with respect to the horizontal axis, is
tied to the right end of the cantilever beam at B.
The beam supports a partial uniformly distributed load of 5 kN/m. In addition, it also
supports a point load P = 10 kN at 3 m away from the cantilever support. When the loads are
applied, a tension force of T = 10 kN is developed in the cable.|
tension cable
150 mm
10 mm
100 mm
100 mm
10 mm
1 m
2
5 kN/m
1 m 1 m
t
P = 10 KN
1 m
T = 10 KN
B
Figure Q3
10 mm
I-Beam Cross Section
A = 5000 mm2
I= 39.80 x 10^6 mm4
Neutral Axis
Transcribed Image Text:A beam with I-shape cross section has a span of 4 m as shown in Figure Q3. The cross section of the I-beam is also shown. The beam is cantilever supported at A. A diagonal tension cable BC, wth an inclination angle of 30 degree with respect to the horizontal axis, is tied to the right end of the cantilever beam at B. The beam supports a partial uniformly distributed load of 5 kN/m. In addition, it also supports a point load P = 10 kN at 3 m away from the cantilever support. When the loads are applied, a tension force of T = 10 kN is developed in the cable.| tension cable 150 mm 10 mm 100 mm 100 mm 10 mm 1 m 2 5 kN/m 1 m 1 m t P = 10 KN 1 m T = 10 KN B Figure Q3 10 mm I-Beam Cross Section A = 5000 mm2 I= 39.80 x 10^6 mm4 Neutral Axis
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