Three equal concentrated loads of 12-KN each are to cross a simple beam. The concentrated loads are 6 m apart. Determine (a) the maximum shear and the maximum moment at C 5 m from the left support if the length of the beam is (a.1) 12 m; (a.2) 14 m. (b) Determine the absolute maximum moment in the beam if the length of the beam is (b.1) 12 m; (b.2) 14 m.

Three equal concentrated loads of 12-KN each are to cross a simple beam. The concentrated loads are 6 m apart. Determine (a) the maximum shear and the maximum moment at C 5 m from the left support if the length of the beam is (a.1) 12 m; (a.2) 14 m. (b) Determine the absolute maximum moment in the beam if the length of the beam is (b.1) 12 m; (b.2) 14 m.

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

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Three equal concentrated loads of 12-KN each are to
cross a simple beam. The concentrated loads are 6 m apart.
Determine (a) the maximum shear and the maximum moment
at C 5 m from the left support if the length of the beam is (a.1)
12 m; (a.2) 14 m. (b) Determine the absolute maximum
moment in the beam if the length of the beam is (b.1) 12 m;
(b.2) 14 m.

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Step 2 Data Given

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Step 3 Calculation of shear and moment if length of beam is 12 m

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Step 4 Calculation of shear and moment if length of beam is 14 m

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Step 5 Calculation of absolute maximum bending moment

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Step 6 Conclusion

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