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?

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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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.

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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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