A simply supported span (middle span) of 6-m length with double cantilever of 1.5 m at each end is loaded as shown below. There is a concentrated moment of 6 kN-m acting at the tip of the left cantilever and a point load of 3 kN acting at the tip of the right cantilever. A concentrated force P = 10 kN is acting at the mid-point of the middle span. In addition, there are two partial uniform load of 5 kN/m acting on the middle span as shown below. The middle span has an I-section, of which the value of the moment of inertia I is given. The dimensions of the two flanges and the vertical web are also given. The right cantilever has a T-section. The dimensions of the top flange and the web are given. P = 10 kN A B 3 kN 5 kN/m 5 kN/m 200 mm 200 mm 6 kN-m S mm S mm 10 mm 2 m 1 m 2 m B 250 mm 250 mm 1.5 m 6 m 1.5 m **- 10 mm S mm Section A-A I= 6.67 x 10 ^7 mm^4 left cantilever middle span right cantilever Section B-B a.) Calculate the maximum bending stress of the middle span and plot the bending stress distribution. The middle span is an I-section and the value of moment of inertia I is given as shown above.

A simply supported span (middle span) of 6-m length with double cantilever of 1.5 m at each end is loaded as shown below. There is a concentrated moment of 6 kN-m acting at the tip of the left cantilever and a point load of 3 kN acting at the tip of the right cantilever. A concentrated force P = 10 kN is acting at the mid-point of the middle span. In addition, there are two partial uniform load of 5 kN/m acting on the middle span as shown below. The middle span has an I-section, of which the value of the moment of inertia I is given. The dimensions of the two flanges and the vertical web are also given. The right cantilever has a T-section. The dimensions of the top flange and the web are given. P = 10 kN A B 3 kN 5 kN/m 5 kN/m 200 mm 200 mm 6 kN-m S mm S mm 10 mm 2 m 1 m 2 m B 250 mm 250 mm 1.5 m 6 m 1.5 m **- 10 mm S mm Section A-A I= 6.67 x 10 ^7 mm^4 left cantilever middle span right cantilever Section B-B a.) Calculate the maximum bending stress of the middle span and plot the bending stress distribution. The middle span is an I-section and the value of moment of inertia I is given as shown above.

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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