Prob 3. (A) Draw shear diagram and determine the maximum shear force (V). (B) Determine the maximum shear stress in the beam at the point where the internal shear force is maximum. (C) Draw the shear stress (7) distribution over the entire depth of the beam. 30 A 40 kN/m 6m 20 kN/m 6m 300 30 165- -40 dims. =mm

Prob 3. (A) Draw shear diagram and determine the maximum shear force (V). (B) Determine the maximum shear stress in the beam at the point where the internal shear force is maximum. (C) Draw the shear stress (7) distribution over the entire depth of the beam. 30 A 40 kN/m 6m 20 kN/m 6m 300 30 165- -40 dims. =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

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Prob 3.
(A) Draw shear diagram and determine the maximum shear force (V).
(B) Determine the maximum shear stress in the beam at the point where the internal shear force is maximum.
(C) Draw the shear stress (T) distribution over the entire depth of the beam.
30
40 kN/m
TTTTTH
6 m
20 kN/m
+
6 m
B
300
30 ↑
165
-40
dims.
=mm

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Step 1: State the given data

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Step 2: Determine the support reaction

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Step 3: a. Calculation of the shear force and maximum shear force and it's diagram

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Step 4: Determine the moment of inertia of the section

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Step 5: b. Maximum shear stress

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Step 6: c. Shear stress distribution diagram

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