F14-6 The beam k subjectod to the kading shown. Determine the principal stress at polint C. 75 m 75 m SEN 190 mm -3 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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F14-6 The beam k subjectod to the kading shown.
Determine the principal stress at polint C.
75 m
75 m
SEN
190 mm
-3 m
Transcribed Image Text:F14-6 The beam k subjectod to the kading shown. Determine the principal stress at polint C. 75 m 75 m SEN 190 mm -3 m
Expert Solution
Step 1

Consider the figure,

Civil Engineering homework question answer, step 1, image 1

Step 2

The formula to calculate the shear stress is,

Civil Engineering homework question answer, step 2, image 1

Here, A is the area and FC is the shear force.

The formula to calculate the bending stress is,

Civil Engineering homework question answer, step 2, image 2

Here, M is the moment at point C, I is the moment of inertia, and y is the distance.

Step 3

Calculate the support reaction of the beam.

Take summation of horizontal forces is 0.

Civil Engineering homework question answer, step 3, image 1

Due to symmetry of beam,

Civil Engineering homework question answer, step 3, image 2

Take summation of vertical forces is 0.

Civil Engineering homework question answer, step 3, image 3

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