Problem 1A beam shown in the figure below is pre-tensioned using 32 mm dia. stranded tendons placed variably throughout the length(Harped) with fpu = 1,770 MPa, fpy = 0.85fpu, and the concrete capacity is fe 50 MPa, fei= 0.70f. Design the h of thesection using an I-beam with Br= 1300 mm, hr= 250 mm, Bw= 250 mm, and carrying a load of wLL = 35 kN/m, wD= 29kN/m (assumed), wsD= 48 kN/m. The actual location of the tendons' centroid at midspan and support are 150 mm and 530mm from the bottom fiber respectively. The Prestressed losses = 17.5%.a. Determine the minimum required section modulus (in x10° mm') considering the midspan location.b. Determine the minimum required section modulus (in x10° mm') considering the support location.c. Determine the total height (mm) of the I-beam (Roundup, increment of 10 mm, ex. 1510.00, 1520.00, 1530.00 mm)d. Consider Pi – 11,800 kN, determine the stress (MPa) at extreme bottom fiber under the final stage of the midspan(use the updated weight of the section).Consider Pi = 11,800 kN, determine the stress (MPa) at extreme top fiber under the initial stage of the support.е.40 mBfhfhebw

Given: The given I Beam is pretensioned with stranded tendons of 32 mm with fpu=1770 MPa and fpy…

Answered: section modulus (in x10 mm')…

Engineering

Civil Engineering

section modulus (in x10 mm') considering the midspan location.

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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Question

Problem 1
A beam shown in the figure below is pre-tensioned using 32 mm dia. stranded tendons placed variably throughout the length
(Harped) with fpu = 1,770 MPa, fpy = 0.85fpu, and the concrete capacity is fe 50 MPa, fei= 0.70f. Design the h of the
section using an I-beam with Br= 1300 mm, hr= 250 mm, Bw= 250 mm, and carrying a load of wLL = 35 kN/m, wD= 29
kN/m (assumed), wsD= 48 kN/m. The actual location of the tendons' centroid at midspan and support are 150 mm and 530
mm from the bottom fiber respectively. The Prestressed losses = 17.5%.
a. Determine the minimum required section modulus (in x10° mm') considering the midspan location.
b. Determine the minimum required section modulus (in x10° mm') considering the support location.
c. Determine the total height (mm) of the I-beam (Roundup, increment of 10 mm, ex. 1510.00, 1520.00, 1530.00 mm)
d. Consider Pi – 11,800 kN, determine the stress (MPa) at extreme bottom fiber under the final stage of the midspan
(use the updated weight of the section).
Consider Pi = 11,800 kN, determine the stress (MPa) at extreme top fiber under the initial stage of the support.
е.
40 m
Bf
hf
h
e
bw

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