A beam with I-shape cross section has a span of 4 m as shown in Figure Q3. The cross section of the I-beam is also shown. The beam is cantilever supported at A. A diagonal tension cable BC, wth an inclination angle of 30 degree with respect to the horizontal axis, is tied to the right end of the cantilever beam at B. The beam supports a partial uniformly distributed load of 5 kN/m. In addition, it also supports a point load P = 10 kN at 3 m away from the cantilever support. When the loads are applied, a tension force of T = 10 kN is developed in the cable. tension cable 150 mm 10 mm 100 mm 100 mm 2 10 mm 5 kN/m 1 m 1m 1m I-Beam Cross Section A = 5000 mm2 I= 39.80 x 10^6 mm4 Figure Q3 a.) Calculate the cantilever support reactions at A b.) Calculate and draw the stress distribution due to the bending moment at support A c.) Calcualte and draw the shear stress distribution at support A. d.) At the neutral axis of the section at support A, calculate the principal stresses and 02 and the principal plane orientations Op1 and Op2. Show the Mohr circle of stresses. A P = 10 KN +₁ 11 m T= 10 KN B Neutral Axis : 10 mm

A beam with I-shape cross section has a span of 4 m as shown in Figure Q3. The cross section of the I-beam is also shown. The beam is cantilever supported at A. A diagonal tension cable BC, wth an inclination angle of 30 degree with respect to the horizontal axis, is tied to the right end of the cantilever beam at B. The beam supports a partial uniformly distributed load of 5 kN/m. In addition, it also supports a point load P = 10 kN at 3 m away from the cantilever support. When the loads are applied, a tension force of T = 10 kN is developed in the cable. tension cable 150 mm 10 mm 100 mm 100 mm 2 10 mm 5 kN/m 1 m 1m 1m I-Beam Cross Section A = 5000 mm2 I= 39.80 x 10^6 mm4 Figure Q3 a.) Calculate the cantilever support reactions at A b.) Calculate and draw the stress distribution due to the bending moment at support A c.) Calcualte and draw the shear stress distribution at support A. d.) At the neutral axis of the section at support A, calculate the principal stresses and 02 and the principal plane orientations Op1 and Op2. Show the Mohr circle of stresses. A P = 10 KN +₁ 11 m T= 10 KN B Neutral Axis : 10 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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