The simply supported beam with a span of 10 m is given below. Under its self weight (Distributed load due to self weight is w₁ = 4.5 kN/m) and a service point load P = 500 KN applied at 5 m away from the support (applied at the mid-span), check if the long term deflection at the mid-span at 5 years is within allowable limits according to TS3233 (the deflection limit is In/360). Take concrete compressive strength at transfer as fejk = 35 MPa, 28-day concrete compressive strength as fck = 40 MPa. The tendon eccentricity is 200 mm. The effective stress in prestressing steel fpe= 1000 MPa and prestressing steel area Aps = 1000 mm². Note: Obtain the deflection at the midspan due to a point load applied at the mid-span from your strength of materials knowledge. (You don't have to derive the formula, you can directly use it). P = 500 KN W, = 4.5 kN/m Centroidal Axis Prestressing steel location 10 m 600 mm 100 mm 100 mm 600 mm 100 mm

The simply supported beam with a span of 10 m is given below. Under its self weight (Distributed load due to self weight is w₁ = 4.5 kN/m) and a service point load P = 500 KN applied at 5 m away from the support (applied at the mid-span), check if the long term deflection at the mid-span at 5 years is within allowable limits according to TS3233 (the deflection limit is In/360). Take concrete compressive strength at transfer as fejk = 35 MPa, 28-day concrete compressive strength as fck = 40 MPa. The tendon eccentricity is 200 mm. The effective stress in prestressing steel fpe= 1000 MPa and prestressing steel area Aps = 1000 mm². Note: Obtain the deflection at the midspan due to a point load applied at the mid-span from your strength of materials knowledge. (You don't have to derive the formula, you can directly use it). P = 500 KN W, = 4.5 kN/m Centroidal Axis Prestressing steel location 10 m 600 mm 100 mm 100 mm 600 mm 100 mm

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter10: Plate Girders

Section: Chapter Questions

Problem 10.7.9P

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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

The simply supported beam with a span of 10 m is given below. Under its self weight
(Distributed load due to self weight is w₁ = 4.5 kN/m) and a service point load P = 500 KN
applied at 5 m away from the support (applied at the mid-span), check if the long term deflection
at the mid-span at 5 years is within allowable limits according to TS3233 (the deflection limit
is 1₁/360). Take concrete compressive strength at transfer as fejk = 35 MPa, 28-day concrete
compressive strength as fck = 40 MPa. The tendon eccentricity is 200 mm. The effective stress
in prestressing steel fpe = 1000 MPa and prestressing steel area Aps = 1000 mm².
Note: Obtain the deflection at the midspan due to a point load applied at the mid-span from
your strength of materials knowledge. (You don't have to derive the formula, you can directly
use it).
P = 500 KN
W, = 4.5 kN/m
Centroidal Axis
Prestressing steel location
10 m
600 mm
100 mm
100 mm
600 mm
100 mm

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