# 300736 Concrete Structures

## Question 1. (Total: 10 Marks)

For the singly reinforced beam section shown in **Figure-1** calculate the ultimate moment capacity, *M*_{u . }Show detail calculation and express final result in *kNm. *

Given *f*_{c}^{'} = 50 MPa and *f*_{sy} = 500 MPa. All dimensions in Figure-1 are given in *mm*.

**Figure 1 **

## Question 2. (Total: 20 Marks)

The doubly reinforced concrete beam (T- Section) shown in **Figure-2** is reinforced with 6N36 bars in tension and 2N24 bars in compression.

Given *f*_{c}^{'} = 32 MPa, and *f*_{s}_{y} = 500 MPa. All dimensions in Figure-2 are given in *mm*.

- Calculate the flange width,
*b* where b = 900+20*n*

Take *n* = last digit of your student number. For example: student number 19025679, *n* = 9; *b* = (900 + 20*9)=1080 mm)

- Determine the ultimate moment capacity of the T- section beam. iii) Checks for the yielding of tensile steel and compression steel.

*(n* = last digit of your student number)

b = 900+20*n*

**Figure 2 **

## Question 3. (Total: 20 Marks)

A reinforced concrete beam supporting a storage floor. The beam carries a uniformly distributed (UDL) dead load of G = 25 kN/m and an imposed live load of Q = (8+3*n*) kN/m (where *n* is the last digit of your student number). The load, bending moment diagram and the beam section are given in Figure-3.

Given, *f*_{c}^{'} = 40 MPa, *f*_{s}_{y} = 500 MPa. All dimensions in Figure-3 are given in *mm*.

- Calcualte the imposed live load, Q where Q = (8+3
*n*) kN/m

Take *n* = last digit of your student number. For example: student number

19025679, *n* = 9; *Q* = (8 + 3*9)=35 kN/m)

- Determine the short term deflection (∆
_{s}) at the mid section of the beam.

**Figure 3 **

EXTRACTS FOR MID‐TERM TEST

General

For transformed cracked section, singly reinforced beam

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