4. An extruded bar of aluminum alloy has the cross section shown in Fig. 4. A 1-meter length of this bar is used as a cantilever beam. A concentrated load P = 1.25 kN is applied at the free end and makes an angle of a = 10 degree with the y-axis passing through the centroid. The view in Fig. 3 is from the free end toward the fixed end of the beam. a) Determine the orientation of the neutral axis. What locations potentially have maximum stress? b) Determine the maximum tensile and compressive stresses in the beam. Note: Neglect torsional effect. (Ans I₂ = 184,333 mm, I, 189,333 mm, Izy = 66,000 mm, 0,max = 180 MPa and oc,max = 145.5 MPa) P y I 1 m P X Z 10 mm- 40 mm Fig. 4 y 30 mm 2 (0,0) α 50 mm 10 mm + Ţi 10 mm

4. An extruded bar of aluminum alloy has the cross section shown in Fig. 4. A 1-meter length of this bar is used as a cantilever beam. A concentrated load P = 1.25 kN is applied at the free end and makes an angle of a = 10 degree with the y-axis passing through the centroid. The view in Fig. 3 is from the free end toward the fixed end of the beam. a) Determine the orientation of the neutral axis. What locations potentially have maximum stress? b) Determine the maximum tensile and compressive stresses in the beam. Note: Neglect torsional effect. (Ans I₂ = 184,333 mm, I, 189,333 mm, Izy = 66,000 mm, 0,max = 180 MPa and oc,max = 145.5 MPa) P y I 1 m P X Z 10 mm- 40 mm Fig. 4 y 30 mm 2 (0,0) α 50 mm 10 mm + Ţi 10 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

4. An extruded bar of aluminum alloy has the cross section shown in Fig. 4. A 1-meter length of this bar
is used as a cantilever beam. A concentrated load P = 1.25 kN is applied at the free end and makes an
angle of a = 10 degree with the y-axis passing through the centroid. The view in Fig. 3 is from the free
end toward the fixed end of the beam.
a) Determine the orientation of the neutral axis. What locations potentially have maximum stress?
b) Determine the maximum tensile and compressive stresses in the beam. Note: Neglect torsional effect.
(Ans I₂ = 184,333 mm², I₂ = 189,333 mmª, Izy = 66,000 mm*, t,max
180 MPa and 6c, max
145.5 MPa)
P
y
1 m
P
X
Z
10 mm
40 mm
Fig. 4
=
y
30 mm
(0,0)
α
50 mm
10 mm
=
10 mm

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