A cantilever beam of solid circular cross section is 1 m long and has a diameter of 100 mm. Attached to its free end is a horizontal arm which carries a vertically downward load Wat a distance r from the beam's vertical plane of symmetry. On the beam's upper surface, halfway along its length and positioned in its vertical plane of symmetry, is a rectangular strain gauge rosette which gave the following readings for particular values of W and r. €, =1500 x 10-6,. °, en = -300 × 10-6, €c =-450 × 10¬6 where the gauges “a" and “c" are aligned with and perpendicular to the axis of the beam respectively. Calculate the values of W and r. Take E= 200000 N/mm² and v=0.3. Ans. W=58.9 kN, r=423 mm.

A cantilever beam of solid circular cross section is 1 m long and has a diameter of 100 mm. Attached to its free end is a horizontal arm which carries a vertically downward load Wat a distance r from the beam's vertical plane of symmetry. On the beam's upper surface, halfway along its length and positioned in its vertical plane of symmetry, is a rectangular strain gauge rosette which gave the following readings for particular values of W and r. €, =1500 x 10-6,. °, en = -300 × 10-6, €c =-450 × 10¬6 where the gauges “a" and “c" are aligned with and perpendicular to the axis of the beam respectively. Calculate the values of W and r. Take E= 200000 N/mm² and v=0.3. Ans. W=58.9 kN, r=423 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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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

A cantilever beam of solid circular cross section is 1 m long and has a diameter of 100 mm.
Attached to its free end is a horizontal arm which carries a vertically downward load Wat a distance
r from the beam's vertical plane of symmetry. On the beam's upper surface, halfway along its
length and positioned in its vertical plane of symmetry, is a rectangular strain gauge rosette which
gave the following readings for particular values of Wand r.
€ = 1500 x 10-6, eb = -300 × 10-6, ɛc = -450× 10-6
where the gauges “a" and "c" are aligned with and perpendicular to the axis of the beam
respectively. Calculate the values of W and r. Take E=200000 N/mm² and v=0.3.
Ans. W=58.9 kN, r=423 mm.

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