Solution-Calculate the deflection of the beam at the free

Calculate the deflection of the beam at the free end

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Reference no: EM132354200

Question - Indeterminate Beam Design and Deflection

A 2014-T6 aluminium cantilever beam is rigidly fixed to a wall. The beam is loaded with a point load, P, of 30kN and a concentrated moment, M of 25kN.m. Both the load and the moment act in the direction shown in the image below. The design team is concerned that the tip of the cantilever beam may exhibit high deflections. A potential solution has been proposed, namely, providing a cable to support the cantilever beam between points B and D (as shown below).

The material properties for 2014-T6 aluminium are

Symbol	Value	Units
E	79.00	GPa
Gallow	414.0	MPa
Tallow	172.0	MPa

You are a Consultant engineer tasked with evaluating the beam. To do this you must:

a) Calculate the deflection of the beam at the free end using the moment-area method. This is a baseline calculation on the cantilever beam and therefore the influence of the table should be neglected.

b) Solve for the unknown reaction force at point B using ether the moment-area method or the integration method. Whichever method you prefer.

Reference no: EM132354200

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Calculate the deflection of the beam at the free end : Question - Indeterminate Beam Design and Deflection. Calculate the deflection of the beam at the free end using the moment-area method

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Calculate the deflection of the beam at the free end

Reference no: EM132354200

Reference no: EM132354200

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