27. A post having a hollow circular cross section supports a horizontal load P = 1.6 kN acting at the end of an ame l 1.2 m long (see figure). The height of the post is 7.6 m and its section modulus is S = 2.653 X 104 m3 Ascum that is radius of the post, r2 = 115 mm, and inner radius r = 108 mm. (a) Calculate the maximum tensile stress omax and maximum in-plane shear stress Tmax at point A on the surface of the post along the x-axis due to the load P. Load P acts in a horizontal plane at an angle of 30° from ot which is parallel to the (-x) axis. (b) If the maximum tensile stress and maximum in-plane shear stress at point A are limited to 110 MPa and 10 MPa resnectively, what is the largest permissible value of the load P?
27. A post having a hollow circular cross section supports a horizontal load P = 1.6 kN acting at the end of an ame l 1.2 m long (see figure). The height of the post is 7.6 m and its section modulus is S = 2.653 X 104 m3 Ascum that is radius of the post, r2 = 115 mm, and inner radius r = 108 mm. (a) Calculate the maximum tensile stress omax and maximum in-plane shear stress Tmax at point A on the surface of the post along the x-axis due to the load P. Load P acts in a horizontal plane at an angle of 30° from ot which is parallel to the (-x) axis. (b) If the maximum tensile stress and maximum in-plane shear stress at point A are limited to 110 MPa and 10 MPa resnectively, what is the largest permissible value of the load P?
Chapter2: Loads On Structures
Section: Chapter Questions
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Transcribed Image Text:PROB. 26
27. A post having a hollow circular cross section supports a horizontal load P = 1.6 kN acting at the end of an amm i
1.2 m long (see figure). The height of the post is 7.6 m and its section modulus is S= 2.653 x 104 m3 Aceumi that is
radius of the post, r2 115 mm, and inner radius r¡ = 108 mm.
(a) Calculate the maximum tensile stress omax and maximum in-plane shear stress Tmax at point A on the ou
surface of the post along the x-axis due to the load P. Load P acts in a horizontal plane at an angle of 30° from o t
which is parallel to the (-x) axis.
(b) If the maximum tensile stress and maximum in-plane shear stress at point A are limited to 110 MPa and
40 MPa, respectively, what is the largest permissible value of the load P?
2
1.2 m
130°
P= 1.6 kN
7.6 m
PROB. 27
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