PROBLEM 1: A reinforced concrete beam having a width of 350mm has a total depth of 675mm. It is reinforced for tension having a steel area of 3162.5 sq.mm. and steel area for compression equal to 750 sq.mm. The centroid compression bars is placed at a distance of 62.5mm from the top of the beam while the centroid of the tension bars is placed 75mm from the bottom of the beam. Asuume d=Ddt, fc'=27.6MPA and fy = 414.6MPA. Determine the ultimate moment capacity of the beam

PROBLEM 1: A reinforced concrete beam having a width of 350mm has a total depth of 675mm. It is reinforced for tension having a steel area of 3162.5 sq.mm. and steel area for compression equal to 750 sq.mm. The centroid compression bars is placed at a distance of 62.5mm from the top of the beam while the centroid of the tension bars is placed 75mm from the bottom of the beam. Asuume d=Ddt, fc'=27.6MPA and fy = 414.6MPA. Determine the ultimate moment capacity of the beam

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: For the following composite beam which is built up out of two wooden beams and three steel plates,…

A: Given- For Wood- E = 15 GPa σmax = 7.5 MPa For Steel- E = 200 GPa σmax = 150 MPa To Find- Moment…

Q: Consider a reinforced concrete floor system supported by beams, which are simply supported, on a…

A: Span of beam(l)=24 ft Spacing of beams center to center=12 ft Thickness of floor slab(t)=6 in or 0.5…

Q: -6 The concrete post (Ec = 30 GPa and a =10x10°c) is reinforced with six steel bars, each of 10 mm…

Q: A steel pipe is subjected to a quadratic distributed load over its height with the peak intensity qo…

Q: 1.2 If concrete has an idealized compressive stress-strain relationship as shown in Fig.la for the…

A: Given: To find: The relationship between the height of equivalent stress block and neutral axis…

Q: A concrete post is reinforced with 4-28mm diameter steel bars. Compute the stress in each material…

Q: Figure shown below, a simply supported beam and the cross-section at midspan. The beam supports a…

Q: Problem 3: The floor of a building shown in Figure TH-332 is to be subjected to the following loads:…

A: Given data: Floor of building, TH-332 Superimposed dead load = 3.8 kPa Superimposed live load = 7.0…

Q: | = 900 mm2 A= 1200 mm2 P. P2 D B ++250 mm- -350 mm - 500 mm

Q: A reinforced concrete beam has a width of 300 mm and an effective depth of 450 mm. The beam is…

A: Given: Required : Balanced steel ratio Depth of compression stress block Nominal moment capacity

Q: A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and…

Q: Help me how to design the REINFORCED CONCRETE BEAMS WITH IRREGULAR CROSS SECTION as shown in figure…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Situation 3: A W12x22 simply supported beam carries a uniformly distributed load. The properties of…

Q: A simply supported rectangular beam has a width of 300mm and the distance to the centroid of…

Q: 2. Determine the dimension "L" of the hollow pentagonal pedestal shown if it has to carry an ivory…

A: To find the dimension L of the Hollow Pentagon Diameter of the Hollow portion (Deven)= 35 mm…

Q: 0.5 W 0.5 W fo = 30 MPa fy = 414MPa 8. 250 mm 250 mm 3.5 m 3.5 m 2- 25mm Ø 3-36mm Ø 250 mm 300 mm

Q: ANALYSIS OF DOUBLY REINFORCED CONCRETE BEAM. Compute the flexural strength of the beam. Given:…

A: INTRODUCTION: Doubly design of beam is generally done when there is requirement of more strength to…

Q: A pre-tensioned rectangular concrete beam 200 mm wide and 350 mm depth is prestressed with three…

Q: 31 -/2"x2" TENSION MEMBER

A: Draw FBD: considering section above x-x:

Q: PROBLEM 2 A cantilever beam is reinforced as shown in the figure. Properties of the RC Beam are as…

A: Reinforced cement concrete is the blend of common cement with the support to expand its compressive…

Q: Determine the maximum tension and compression stress for the aluminum double stem T section shown…

Q: Design the reinforcement of a T-beam to resist a factored moment of 750 kN.m. Properties of the…

Q: A simply supported concrete beam 6m long is reinforce with four-28 mm diamgram tension bars. The…

A: L= 6 mTension bars = 4-28 mm diaCompression bars= 2-28 mm diaSteel covering = 70 mmf'c= 30 Mpafy=…

Q: For the beam shown, a. Determine the maximum flexural stresses in compression and tension. b.…

Q: As shown in the figure below, determine the internal loadings at points A,B and. Consider the…

A: To determine the internal loading at points A and B of the given structure. Given, Parameter FN =…

Q: DOUBLY REINFORCED CONCRETE BEAM.

Q: Determine maximum principal

Q: A rectangular beam of width 375 mm is reinforced with 3-32 mm bars at the bottom in a single layer.…

Q: Determine principal stress

Q: a) Is the beam properly reinforced/over-reinforced/ balanced Determine the factored moment…

A: RC Singly beam,b=500 mmD=700 mmd=600 mmf'c=48 MPaReinforcement: 3-30Mfy=400 MPaφc=0.65φs=0.85Es=2…

Q: Problem 2 Given the truss below, the cross sectional area of compression members is 700 mm2 and…

A: 1. What is the axial stress at CF in MPa? 2. What is the axial stress at HF in KPa? 3.What is the…

Q: A rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with…

A: Given data: b=350 mmD=650 mmAS'=1000 mm2AS=4000 mm2d'=50 mmc=127.84 mmfC'=35 MPaβ=0.81fy=400…

Q: rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and 3…

Q: A reinforced concrete T-Beam has a width of 800mm and a thickness of 50mm. It has an effective depth…

A: To calculate the compressive force of concrete in a reinforced concrete T-beam:Compressive force of…

Q: A rectangular concrete beam is 12 in. wide and has an effective depth (d) of 18 in. Compression…

Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

100%

PROBLEM 1: A reinforced concrete beam having a width of 350mm has a total depth
of 675mm. It is reinforced for tension having a steel area of 3162.5 sq.mm. and steel
area for compression equal to 750 sq.mm. The centroid compression bars is placed at a
distance of 62.5mm from the top of the beam while the centroid of the tension bars is
placed 75mm from the bottom of the beam. Asuume d=Ddt, fc'=27.6MPA and fy =
414.6MPA. Determine the ultimate moment capacity of the beam

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Problem: Design a section of a concrete beam reinforced for tension only. The beam is simply supported on a span of 6.00 m and carries a load of 18 KN/m. Use Alternate Method of Design with n = 9. f'c = 20.70 MPa, Fy = 275 MPa. Use b = d/2. Write your solutions on clean sheets of bond paper, scan properly. Note: Clear concrete cover for the beam: 40 mm Clear spacing between rebars: 25 mm (minimum) Minimum bar size to use as per ACI Code: 16 mm diameter Design for flexure only.
Use 2001 NSCP
A reinforced concrete beam (see figure)is acted on by a positive bending moment ofM = 160 kN . m. Steel reinforcement consists of4 bars of 28 mm diameter. The modulus of elasticityfor the concrete is Ec = 25 GPa while that of the steelis Es = 200 GPa.(a) Find the maximum stresses in steel and concrete.(b) If allowable stresses for concrete and steel areσac = 9.2 MPa and σas = 135 MPa, respectively,what is the maximum permissible positivebending moment?(c) What is the required area of steel reinforcement,As, if a balanced condition must be achieved?What is the allowable positive bending moment?(Recall that in a balanced design, both steel andconcrete reach allowable stress values simultaneouslyunder the design moment.)
il Engineering Dept. /Second Year "Strength of Materials" Home Works: A flat steel bar has axial loads (forces along the centroidal axis of the bar) applied at points A, B, C, and D, as shown in Fig. a. If the bar has a cross-sectional area of 3.00 in.², determine the normal stress in the bar (a) On a cross section 20 in. to the right of point A. (b) On a cross section 20 in. to the right of point B. (c) On a cross section 20 in. to the right of point C. Figure (a) 81 kip 30 in. 45 in. OA BOC 18 kip 54 kip 40 in. (a) Do Prof. Dr. Qais Fadhil 45 kip
A rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with As’ = 1,000 mm2and on the tension side As = 4,000 mm2. The beam has an effective depth of 510 mm and its neutral axis is located at 127.84 mm below the top of the beam. Assume steel in tension yields but that in compression does not yield. F’c = 35 MPa, β = 0.81, fy = 400 MPa. Steel covering on top is 50 mm. Determine stress of steel in compression. Determine the depth of compression stress block. Determine the moment capacity of the beam.
A reinforced concrete beam having a width of 300mm and a overall depth of 600 mm is reinforced with 2-25mm compression bars placed 60 mm from extreme concrete & 6-25mm tension bars with concrete covering of 60 mm from the centroid of the bar group. Concrete Strength, fc' = 27 MPa, Steel Strength, fy = 415 MPa. A. Determine the balanced steel area considering the contribution of the compression steel. B. Determine the maximum tension steel area allowed by the code.
Assume concrete accepts no tension. Compute the bending stress in the extreme fiber of the beam of figure for bending moment 1.25ton.m A = 10cm? E, = 2*10 kg /cm? E. = 2*10°kg /cm f' =150kg / cm? F, = 4000kg / cm? 20 cm 25 cm 20 cm
Use f'c = 30 MPa and fy = 415 MPa. The unit weight of concrete is 24 kN/m³ . The floor of a cantilever floor system is made up of a 150mm thick concrete slab (cast monolithically with beam) and the beams have widths of 300 mm, a total depth of 560 mm, and are to be reinforced with 5-Ø28 mm bars. The center-to-center spacing of beams is 4 m. The cantilever floor system is also built using 4m cantilever reinforced beams as supports. a) Find the maximum service live load (kPa) that the current floor design can support. b) Suppose that the floor will need to carry a superimposed service dead load of 2 kPa and service live load of 7.2 kPa, will the existing floor design be adequate? If not, redesign the beams (find the appropriate number of Ø28-mm rebars and provide a final sketch). Use cc = 40 mm, stirrup diameter of 10 mm, and nominal maximum aggregate size of 20 mm.
Problem #1. The base of a rectangular reinforced concrete beam is 300mm and the effective depth is 550mm. Concrete compressive strength on the 28" day is 24MPA and steel yield strength is 415MP.. Determine : a. The depth of compression block (in mm, 2 decimal places), the strain in the tension steel (5 decimal places) and ultimate moment capacity (in KN.m, nearest tenth) of the beam if it is reinforced with 4-32mm diameter bars. b. The depth of compression block, the strain in the tension steel and ultimate moment capacity of the beam if it is reinforced with 4-20mm diameter bars.
A square hollow steel structure with a wall thickness of t1 = 10 mm is pin linked to two gusset plates with a thickness of t2 = 12 mm, which are welded to a base plate with a thickness of 12 mm and secured to a concrete base with 4-16 mm diameter anchor bolts. The pin has a diameter of 16 mm. P = 48 kN compressive load, 30 deg. P= 48 kN Stnt gusset plate fy=12 mm 0=30 10 m 12 mm 16 mm ø anchor bolt 4-16 mm p 1. Determine the bearing stress in MPa between the struct and the pin. 2. Calculate the pin's shear stress in MPa. 3. Determine the anchor's shear stress in MPa.
Material is CONCRETE. Please check all criteria and show work clearly.
Determine the maximum and concrete and steel stresses at the point of maximum positive and negative moments