a. Determine the design moment capacity of the reinforced concrete beam shown in Figure 1(a) if it is reinforced with 4-28-mm diameter in tensio and 2-16-mm diameter in compression. b. If the beam will carry the loading pattern shown in Figure 1(b), what safe load W can it carry based on the design moment in part (a)?

a. Determine the design moment capacity of the reinforced concrete beam shown in Figure 1(a) if it is reinforced with 4-28-mm diameter in tensio and 2-16-mm diameter in compression. b. If the beam will carry the loading pattern shown in Figure 1(b), what safe load W can it carry based on the design moment in part (a)?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: :A hollow Aluminum shaft is slipped over a solid steel shaft. The two shafts are then fastened…

A: Given data in question Composite section Shear modulus Length Diameter To find out Maximum shear…

Q: The cross-section of the reinforced concrete beam having an effective depth of 500 mm is shown in…

Q: Strain profiles of a flexural reinforced concrete element section at yield and failure conditions…

Q: Reinforce Concrete Design The beam section shown in the Figure 3 will carry the same loading…

A: Given values: Pu = 175 KN f' c = 30 MPa fy = 345 MPa b = 305 mm d = 510 mm Steel reinforcement: 5-25…

Q: A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of…

A: a) Calculate the area of percentage cross-sectional area of steel and concrete.

Q: Calculate the breaking stress (

A: Given: Side of concrete cube, a=15 cm = 150 mm Load at time of breaking, P kN = 1000*P N To find :…

Q: Problem (1): Column AB is 30 cmx100 cm in cross section and 3.0 m in height, is subjected to a…

A: Given data; Column size =30 cm×100 cm=300mm×1000 mm Length of column = 3m Slenderness ratio λ…

Q: The properties of the reinforced concrete beam are b = 314 mm, d = 467 mm, Ast = 1047 mm2, and Est /…

A: Given data b = 314 mm d = 467 mm Ast = 1047 mm2 fc = 17.9 MPa fs = 103.2 MPa n = 9 Using…

Q: A wood beam is strengthened using two steelplates as shown in Fig. a. The beam has simple…

Q: The properties of the reinforced concrete beam are b = 316 mm, d = 479 mm, Ast = 1275 mm2, and Est /…

A: NOTE : the given data is Indian standard data

Q: The composite beam shown in the figure is simply supported and carries a total uniform load of 40…

A: In composite beam, bending strain diagram is linear and strain compatibility conditions is used to…

Q: 50 mm 20 mr 75 kN

Q: A concrete overhang beam with the section shown is to support a 150 mm thick concrete slab with a…

Q: determine the largest centrally applied vertical load P it can support.

Q: thick. It supports an axial load of 1,000 kN. E for timber is 10 GPa and for steel, E = 200G 10 200…

A: Because of strain compatibility δsteel =δtimber σsteel LEsteel =σtimber LEtimber…

Q: Situation #1: A reinforced concrete beam has a width of 300 mm and effective depth of 460 mm. The…

Q: Q2]- The rigid plate ABC shown in figure 2, was positioned on top of two identical steel posts, and…

Q: 1) The reinforced concrete bar, shown in figure, consists of of 6 x 10 in? concrete (Econe = 2 x 10*…

A: Step 1

Q: The figure shows a composite bar, it is stress free before the axial loads P1 and P2 are applied.…

Q: The properties of the reinforced concrete beam are b = 306 mm, d = 467 mm, Ast = 1007 mm2, and Est /…

Q: Concrete column is reinforced axially with eight steel bars as shown in fig. Each bar has a diameter…

A: Given that, P=33 kNES=180 GPaEC=12 GPaAS=Area of steel=8×(π4×252)=3927 mm2AC=Area of…

Q: A reinforced concrete column 250 mm diameter is designed to carry an axial compressive load of 600…

Q: The composite bar consists of a 25-mm-diameter A-36 steel segment AB and 60-mm-diameter red brass…

A: Given data:- Diameter of composite bar = 25 mm Grade of steel = A-36 Diameter of red brass = 60…

Q: A cylindrical block of concrete is 300mm long and has a circular cross section of 100mm in diameter.…

Q: For the composite beam shown in the figure below, determine the maximum stresses in steel and…

A: Solution: Considering the diagram: The stresses in aluminium and steel is calculated using bending…

Q: Q2 : Design the simply supported reinforced concrete beam showing in the Figure below for bending…

A: Given : fc =20 MPa, fy = 300 MPa Ultimate strength design method 22 mm dia main reinforcement and…

Q: TITLE: ANALYSIS OF Reinforced Concrete Beams (SERVICEABILITY REQUIREMENTS). PROBLEM: Check the…

Q: Q1: Find the Maximum Uniform Live Load can be applied on the beam shown in Fig.(1) so that no…

A: Given:?′? = 23 ????? = 400 ???? = 300 ??? = 600 ???′ = 60 ??? = 600 − 60 = 540 ?? Ast = π×252=1962.5…

Q: A concrete column reinforced with steel rods has a square section of 250 mm by 250 mm and can…

A: Given data:- The given square section is, 250 mm×250 mm The given support of a load is, 700 kN the…

Q: 2. Auniform concrete slab is to be attached to two rods whose lowers ends are initially at the same…

Q: strength of materials... answer only A wood beam carries the loading shown in the figure. calculate…

A: Given data: UDL = 2349n/m PL= 5381N

Q: Concrete column is reinforced axially with eight steel bars as shown in fig.3. Each bar has a…

A: Given:…

Q: There is reinforced concrete beam section given as a representative in the figure. It will be…

Q: The properties of the reinforced concrete beam are b = 304 mm, d = 468 mm, Ast = 1088 mm2, and Est /…

A: Given data: b=304 mm d=468 mm Ast = 1088 mm2 Est /Eco = 8

Q: Using a simply supported pre-stressed concrete beam, explain the following status using stress…

A: Note: As per Bartleby's guidelines, only first three subparts will be discussed in the solution. It…

Q: A beam with varying load is shown at the figure below. If the beam properties are given, what is the…

A: Given data Beam width b = 288 mm Depth of beam h = 427 mm Prestressing force P = 358 KN Span of beam…

Q: Reinforce concrete design

A: Beam =350mmx600mm Length =8m Let assume f'c , fy and fr

Q: Problem 2.7 A reinforced concrete beam has the following data. Beam width, b=300 mm Effective depth,…

A: Given: b = 300 mm d = 600 mm d' = 60 mm fc = 27.5 MPa fy = 415 MPa

Q: The cross-section of the reinforced concrete beam having an effective depth of 500 mm is shown in…

Q: Determine the cracking moment

A: Cracking moment: - It is the limiting moment at which given section is safe if it exceeded causes…

Concept explainers

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

a. Determine the design moment capacity of the reinforced
concrete beam shown in
Figure 1(a) if it is reinforced with 4-28-mm diameter in tension
and 2-16-mm
diameter in compression.
b. If the beam will carry the loading pattern shown in Figure
1(b), what safe load W
can it carry based on the design moment in part (a)?
Use fc = 21 MPa, fy = 276 MPa and effective cover of 50 mm for top and bottom bars.
Assume the load W to be ultimate. Neglect weight of beam.
300 mm
2-16 mm
➜
4-28 mm
....
(a)
560 mm
2m
6 W
8m
(b)
12 m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given:

VIEW

Step 2: Stress & strain profile:

VIEW

Step 3: Calculate CNA from the equilibrium:

VIEW

Step 4: The strain compression steel:

VIEW

Step 5: Mmax.

VIEW

Step 6: Calculate W :

VIEW

Solution

VIEW

Step by step

Solved in 7 steps with 23 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

Please answer part 1,2, 3
A simply supported post-tension beam as shown in Figure (1), span length is 14m, carries a uniformly distributed service live load of 10 kN/m. Find the value and location of initial pre-stress force (Pi), so that the mid span stresses in concrete at top fiber is zero at initial stage and zero stress at bottom fiber in service stage. Total losses in pre-stressed force are 15%. 100 200 100 750 100 400 Typical Cross section. Figure (1)
Design the simply supported beam shown in the Figure 1 for flexure Consider the following data. Characteristic compressive strength of concrete, fck= 25 N/mm? %3D Characteristic tensile strength of steel, fyk = 500 N/mm? Effective cover to reinforcement is 30 mm Density of Block work = 20 kN/m3 Draw the cross section of the beam at the mid span Height of 200 mm thick wall above the beam is 4 m 200 mm - Imposed Load-20kN/m 600 mm - 6 m
#4 will upvote anyone who will answer
A cast iron tube 3m long is completely filled with concrete and used as a vertical strut. if the external diameter of the tube is 450mm and the wall is 35mm thick, determine the maximum compressive load the composite strut can support if the stress in the concrete is not exceed 2N/mm2. By how much should the strut shorten under this load. For cat iron EA= 100GN/m? and for concrete Eb = 10GN/m?. %3D
In the figure below, find the value of uniform load w (kN/m) that can be applied on the composite beam if the maximum stresses in steel and timber are 48MPa and 3.2MPA, respectively. Est=195GPa,Etimber=13GPA 120mm W Steel 10mm Timber 300mm 2m 4m 2m 250mm Steel 10mm 120mm
Problem 6: The compound bar containing steel, bronze, and aluminum segments carries the axia! loads shown in the figure. The properties of the segments and the working stresses are listed in the table. Steel 2 ft Bronze 4 ft A (in.²) E (psi) o, (psi) Aluminum 3 ft 2P Steel 0.75 30 × 106 20 000 Bronze 1.00 12 x 106 18 000 4P Aluminum 0.50 10 x 106 12 000 Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 in. and the working stresses are not to be exceeded.
Subject: Reinforced Concrete Structures exam
A cast iron 3m long is completely filled with concrete and used as a vertical strut. If the externaldiameter of the tube is 450mm and the wall is 35mm thick, determine the maximum compressiveload the composite strut can support if the stress in the concrete is not 2N/mm2? By how muchshould the strut shorten under this load? For cast iron EA= 100GN/m2 and for the concrete EB=10GN/m2?