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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Beams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning