A cantilever modulus E beam is having Young's 2 105 N/mm², Moment 8 x 107 mm4 and length of Inertia I 2500 mm. What is the uniformly distributed load which the beam can carry in order to produce a deflection of 5 mm at the free end? = = = X

A cantilever modulus E beam is having Young's 2 105 N/mm², Moment 8 x 107 mm4 and length of Inertia I 2500 mm. What is the uniformly distributed load which the beam can carry in order to produce a deflection of 5 mm at the free end? = = = X

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

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

beam is having Young's
2 105 N/mm², Moment
8 x 107 mm4 and Length
of Inertia I
2500 mm. What is the uniformly
distributed load which the beam can
carry in order to produce a deflection
of 5 mm at the free end?
A cantilever
modulus E
=
=
=
X

Expert Solution

Step 1

Given Data

Cantilever beam

Length (L) = 2500 mm

Modulus of elasticity (E) = 2 × 10⁵ N/mm²

Moment of inertia (I) = 8 × 10⁷mm⁴

Free end deflection = 5mm

Determine the uniformly distributed load (w)

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