A U-section cantilever beam that is 2 meters long, is exposed to a point load of 5 kN acting through the centroid of the cross-section at its free end. The direction of action of the point load is inclined to the horizontal z-axis at an angle of 0 = 35° as shown in Figure Q5. The second moments of area about the centroidal axes of the beam cross-section are given as I, = 7.570 × 10-6 m*, ly = 1.078 × 10-5 m* and Izy = 0 and the centroid is located at the point (z.y) = (60, 57.5) mm from the left most bottom most position on the cross-section. Determine: (i) The inclination of the neutral axis from the horizontal z-axis and (ii) The magnitudes and the sense of the maximum stresses on the cross-section 10 mm 10 mm †10 mm 100 mm Figure Q5 z-Cross section Beam F=5 kN 150 mm

Structural Analysis
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Question 5
A U-section cantilever beam that is 2 meters long, is exposed to a point load of 5 kN acting through
the centroid of the cross-section at its free end. The direction of action of the point load is inclined to
the horizontal z-axis at an angle of 0 = 35° as shown in Figure Q5. The second moments of area
about the centroidal axes of the beam cross-section are given as l, = 7.570 × 10-6 m*, l, =
1.078 x 10-5 m* and Izy = 0 and the centroid is located at the point (z,y) = (60, 57.5) mm from the
left most bottom most position on the cross-section. Determine:
(i) The inclination of the neutral axis from the horizontal z-axis and
(ii) The magnitudes and the sense of the maximum stresses on the cross-section
y
10 mm
10 mm
ț10 mm
100 mm
Figure Q5
Z-Cross section Beam
F = 5 kN
150mm
Transcribed Image Text:Question 5 A U-section cantilever beam that is 2 meters long, is exposed to a point load of 5 kN acting through the centroid of the cross-section at its free end. The direction of action of the point load is inclined to the horizontal z-axis at an angle of 0 = 35° as shown in Figure Q5. The second moments of area about the centroidal axes of the beam cross-section are given as l, = 7.570 × 10-6 m*, l, = 1.078 x 10-5 m* and Izy = 0 and the centroid is located at the point (z,y) = (60, 57.5) mm from the left most bottom most position on the cross-section. Determine: (i) The inclination of the neutral axis from the horizontal z-axis and (ii) The magnitudes and the sense of the maximum stresses on the cross-section y 10 mm 10 mm ț10 mm 100 mm Figure Q5 Z-Cross section Beam F = 5 kN 150mm
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