A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances x t and y c from the centroid (C 1 ) of the channel alone. Principal axes y l and y v are also shown in the figure and properties I x 1 ,I y 1 and 0 p are given. Find the orientation of the neutral axis and calculate the maximum tensile stress e x and maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 10 6 nrai 4 ,/ ; | = 1.602 X 10 6 mm 4 , e p = 7.448*(CW),_r £ = 10.70 mm,andv f = 24.07 mm.
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances x t and y c from the centroid (C 1 ) of the channel alone. Principal axes y l and y v are also shown in the figure and properties I x 1 ,I y 1 and 0 p are given. Find the orientation of the neutral axis and calculate the maximum tensile stress e x and maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 10 6 nrai 4 ,/ ; | = 1.602 X 10 6 mm 4 , e p = 7.448*(CW),_r £ = 10.70 mm,andv f = 24.07 mm.
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances xtand ycfrom the centroid (C1) of the channel alone. Principal axes yl and yvare also shown in the figure and properties Ix1,Iy1and 0pare given.
Find the orientation of the neutral axis and calculate the maximum tensile stress exand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 106 nrai4,/;| = 1.602 X 106 mm4, ep= 7.448*(CW),_r£ = 10.70 mm,andvf= 24.07 mm.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
1.
2.
10 mm
10 mm
3.
5 mm
100 mm
A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force
of V = 2.5KN.
50 mm
100 mm
Calculate the position of the centroid and the the second moment of area of the section about the
sentroid horizontally.
Draw the bending stress distribution through the height of the beam by calculating the bending stress
at the critical positions
Draw the shear stress distribution trough the height of the beam by calculating the shear stress
below the flanges and at the centroid.
4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the
beam.(7)
5. Draw the shearflow through the section. Show calculations
For the beam I-section below, calculate the second moment of area about its centroidal y-axis (Iyycentroid).
Give your answer in m4 to 2 significant figures (not mm4).
120 mm
75 mm
425 mm
50 mm-
y
150 mm
400 mm
X
Answer:
Q3a
For the beam l-section below, calculate the second moment of area about its centroidal x-axis (Ixxcentroid).
Give your answer in m4 to 2 significant figures (not mm“).
120 mm
75 mm
425 mm
50 mm-
y
150 mm
400 mm
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