A reinforced concrete cantilever beam has a span of 5m. It supports a factored load of 60kN/m applied 150mm off the centerline of the cross-section of the beam. It has a width of 400mm and an effective depth of 600mm with a total height of 700mm. It is reinforced in tension with 4-20mm diameter bars and 2-16mm diameter bars for compression. Design the beam for shear and torsional web reinforcements using 12mm diameter bars and design also the additional longitudinal reinforcement for torsion. Neglect the weight of the beam. Use NSCP 2010 and simplified analysis for nominal shear strength of concrete. Draw the section of the beam along with the shear and longitudinal reinforcements. Use 16mm diameter bars for middle longitudinal torsional reinforcements. f'c = 21 MPa; fy = 275 MPa

A reinforced concrete cantilever beam has a span of 5m. It supports a factored load of 60kN/m applied 150mm off the centerline of the cross-section of the beam. It has a width of 400mm and an effective depth of 600mm with a total height of 700mm. It is reinforced in tension with 4-20mm diameter bars and 2-16mm diameter bars for compression. Design the beam for shear and torsional web reinforcements using 12mm diameter bars and design also the additional longitudinal reinforcement for torsion. Neglect the weight of the beam. Use NSCP 2010 and simplified analysis for nominal shear strength of concrete. Draw the section of the beam along with the shear and longitudinal reinforcements. Use 16mm diameter bars for middle longitudinal torsional reinforcements. f'c = 21 MPa; fy = 275 MPa

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: 4-162. If the soil exerts a trapezoidal distribution of load on the bottom of the footing, determine…

Q: A BAR OF 30 MM DIAMETER IS SUBJECTED TO A PULL OF 60 KN. THE MEASURED EXTENSION ON GAUGE LENGTH OF…

Q: the terms: limit of proportionality, elastic stage, yield strength, ultimate

Q: The equation of deformation is derived to be y = x² - xL for a beam shown in the figure. The…

Q: Determine the ultimate torsion allowed by the code to be used for design

A: A pillar will bend underneath the action of a force and this is called torsion. It is systematically…

Q: For border strip method of irrigation 0.04 ha area is irrigated from tubewell with a discharge of…

A: Given data- Area of the strip of land = 0.04 hectares = 0.04×104 m2=400 m2 Discharge (Q) = 0.02…

Q: A vertical load W is applied on a rigid plate supported on three vertical concrete pillars each 250…

Q: Following are the results of a field dry unit weight determination test on a compacted soil by using…

Q: 4-25. Draw the shear and moment diagrams for the beam. A 2 k 2 k 2 k -4 ft 4 ft- 2 k

Q: The beam shown in Fig. 1 with uniform flexural rigidity El is subjected to the two concentrated…

Q: 4. For the vessel containing glycerin under pressure, calculate the total pressure at the bottom of…

A: Given Data Air pressure (Pa) = 50 kpa = 50 × 103 N/m2 Determine the total pressure at bottom of…

Q: Vehicles begin arriving at Allen fieldhouse at 6:30 PM, at a constant rate of 4 per minute. One gate…

Q: The population of a certain country is known to increase at a rate proportional to the number of…

Q: 1. Plot the stress-strain diagram of the given data and determine the following mechanica…

A: Given, Gauge length (L) = 50 mm Diameter (D) = 12.5 mm

Q: Seatwork 1. A car drifts from a slope of 42° at a height of 1.7m. It was observed that it stayed in…

Q: 3. The school building has interior columns that are spaced 6 m apart in two perpendicular…

A: Given:- The school building has interior columns The spacing between the columns = 6 m To…

Q: *4-72. Determine the magnitude of the couple forces F so that the resultant couple moment on the…

A: Given, System of forces acting on crank To find : Magnitude of couple forces F

Q: Q.2 Vessels A and B contain water under pressure of 276 kPa and 138 kPa, respectively. What is the…

Q: Two observers have determined that the time headways between successive vehicles are exponentially…

A: Given data: Time headways between successive vehicles are exponentially distributed 70% of headways…

Q: Given the front view and the right-side view of the object, draw the top view and isometric view.

Q: Problem: Using WSD & USD, design the midspan reinforcement of stringer (B-3) for the second floor of…

A: Answer Stringer beam B-3 b = 250 mm d = 400 mm f'c = 20.7 Mpa fy = 280 Mpa for 40 grade steel…

Q: What are the sources of Ignition? Explain each.

A: Ignition is the process of initiating combustion or a fire. It occurs when a source of heat, flame,…

Q: 1- It is said that Archimedes discovered his principle during a bath while thinking about how he…

A: To determine, weather the crown is made up of pure gild or not. The density of gold is 19300 kg/m3…

Q: The equilibrium position of a block of wood of density 'po at the interface of liquid 1 and liquid 2…

Q: Problem No. 1: Two tangents intersect at STA 2+550. A compound curve laid on their tangents has the…

Q: The thin walled tube is used as a beam to support the uniformly distributed load of intensity w, as…

Q: For the plan shown below; Estimate number of (bricks) and amount of cement & sand. If the mix…

Q: Two smooth cylinders are placed in the position shown. Cylinder A 1,000N and has a radius of 10cm…

A: Given Data: The weight of cylinder A is WA=1000 N. The radius of cylinder A is rA=10 cm. The weight…

Q: PROBLEMS (7) A SUSPENSION CABLE 140 M SPAN AND 14 M CENTRAL DIP CARRIES A LOAD OF 1 KN/M. CALCULATE…

Q: 4. A floor beam in an office supports a 3-m wide and 250 mm thick concrete slab, which serves as a…

A: Given data, Floor part The beam supports a ceiling, a block wall and plaster of ceiling wall.…

Q: Q1. A 50 lb beam is supported by a pin support and a spring. If the original length of the spring is…

A: To determine The length of the spring, when the beam is horizontal The force F applied at B to keep…

Q: Question 1 a) The spot speeds and headways of vehicles are measured by two loop detectors on a…

A: Given, Spacing of loop detector = 20 m Time vs headway data

Q: NWC 4 #8 Grade 60 steel fó= 3000 psi #4 Stirups. Cover = 1.5" Mn=?

A: Given data: Nominal weight concrete, fc'=3000 psi 4#8 grade 60 Steel, fy=60,000 psi #4 stirrups and…

Q: re Question 14 of 25 A lead cube has a total mass of 80 kg. What is the length of its sides if SG =…

Q: P01 : What does the grade stamp on the lumber identifies? a. Species of lumber…

A: Note : Since, you have posted multiple questions we will provide solution for only the first…

Q: EXAMPLE:- For the plan shown below; Estimate number of (blocks) and amount of cement & sand. If the…

Q: Compute the slope of the elastic curve at B and C and the deflection at C for the cantilever beam;…

Q: What are the steps in LOTO in Construction OSH?

Q: Two columns 300mmx300mm and 400mmx400mm are loaded by axial and bending forces as shown. They are to…

A: Given data- 2 columns outer 300 mm x 300 mm,DL = 239 kN, LL = 177 kN Column inner- 400 mm x 400 mm…

Q: Consider a laminar flow over a flat plate of length L= 1 m. The boundary layer thickness at the end…

A: Given - laminar flow over a flat plate of length, L = 1 m Kinematic viscosities of water (vw ) =…

Q: 2. Determine the value of Ely at the left end of the overhanging beam shown in the Figure using…

Q: 12-50. The beam is subjected to the load shown. Determine the equations of the slope and elastic…

Q: 4.) Average: Area Moment Method Given the Cantilever Beam as shown below with Moment 10P at midspan.…

A: A loaded beam is given and it has been asked to determine load at A to make deflection at A equal to…

Q: Calculate

Q: SITUATION 13: Determine the reactions at the supports for the truss shown: 75 KN 150 kN 150 125 100…

Q: 3.) Average: Area Moment Method Given the Compound Beam as shown below. Determine load P that will…

Q: 5 kN/m 5 m 20 KN 5 m 10 kNm a) Determine the second moment of area of the cross-section b) Determine…

A: Given Data Determine a. Second moment of area (I). b. Support reaction at the fixed end. c. Draw…

Q: 1. The open rail car is 7 ft wide and filled with water to the level shown. If the car moves with a…

A: Given, Width (b) = 7ft Acceleration (a) = 10 ft/s2

Q: -4m of 5m 30° 320N 30⁰

A: Given To find Moment at O

Q: II. The loads on a roof beam consist of a dead load of 0.2 kips/ft, a roof live load of 0.13…

A: Given data, Dead load = 0.2 Kips/ft Roof live load= 0.13 Kips/ft Snow load = 0.14 Kips/ft We…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

1. How many additional top bars are going to be added?

2. How many additional mid-bars are going to be added?

3. How many additional bot bars are going to be added?

A reinforced concrete cantilever beam has a span of 5m. It supports a factored load of 60kN/m applied 150mm off the centerline of the cross-section of the beam. It has a
width of 400mm and an effective depth of 600mm with a total height of 700mm. It is reinforced in tension with 4-20mm diameter bars and 2-16mm diameter bars for
compression. Design the beam for shear and torsional web reinforcements using 12mm diameter bars and design also the additional longitudinal reinforcement for torsion.
Neglect the weight of the beam. Use NSCP 2010 and simplified analysis for nominal shear strength of concrete. Draw the section of the beam along with the shear and
longitudinal reinforcements. Use 16mm diameter bars for middle longitudinal torsional reinforcements.
f'c = 21 MPa; fy = 275 MPa

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 data

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step by step

Solved in 8 steps with 9 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

Light-grade steel channel was used as a purlin of a truss. The top chord of the truss is inclined I V: 4 H and distance between trusses is equal to 6 m. The purlin has a weight of 79 N/m and spaced at 1.2 m. on centers. The dead load including the roof materials is 720 Pa, live load of 1000 Pa and wind load of 1.2 1.2 1440 Pa. Coefficient of Purlins pressure at leeward and windward are 0.6 and 0.2 respectively. Assume all loads passes through the centroid of the section. Truss Properties of C 200 x 76 mm Sx = 6.19 x 104 mm Sy = 1.38 x 104 mm W = 79 N/m 12 12 1.2 I Allowable bending stress Fbx= Fby = 207 MPa Truss %3D 6m O Calculate the bending stress, fox, for dead load and live load combination (D+ L). Calculate the bending stress, foy, for dead load and live load combination (D + L). O Calculate the maximum ratio of actual to the allowable bending stress for load combination 0.75 (D + L + W) at the windward side. fbx = 151.14 MPa fby = 169.6 MPa Interaction = 1.25
From the given figure below, determine the maximum flexural stress of the beam if it has a cross section of 150mm wide by 250mm deep. (JN 10 N/m o' RA=42N 42N 3M B IM 75Nm 81NM Im RD=3N -3N 0° 78 Nm 3NM V-DIAG M-DIAG
Q- A simply supported rectangular beam having span 5m is subjected to a central point load of 50 kN. The permissible stress in material is 220 N/mm². Assuming the depth to be twice of width, the beam is safe in bending if its depth is equal to mm.
Light-grade steel channel was used as a purlin of a truss. The top chord of the truss is inclined I V : 4 H and distance between trusses is equal to 6 m. The purlin has a weight of 79 N/m and spaced at 1.2 m. on centers. The dead load including the roof materials is 720 Pa, live load of 1000 Pa and wind load of 1.2 1.2 1440 Pa. Coefficient of Purlins pressure at leeward and windward are 0.6 and 0.2 respectively. Assume all loads passes through the centroid of the section. Properties of C 200 x 76 mm Sx = 6.19 x 104 mm Sy = 1.38 x 104 mm3 W = 79 N/m 1.2 Truss 1.2 12 12 1.2 Allowable bending stress Fbr = Fby = 207 MPa Truss %3D 6m O Calculate the bending stress, fox, for dead load and live load combination (D + L). Calculate the bending stress, foy, for dead load and live load combination (D + L). O Calculate the maximum ratio of actual to the allowable bending stress for load combination 0.75 (D + L + W) at the windward side. fbx = 151.14 MPa fby = 169.6 MPa Interaction = 1.25
c) The three suspender bars are made of A-36 steel and have equal cross-sectional areas of 450 mm² .Determine the average normal stress in each bar if the rigid beam is subjected to the loading shown. A B C 80 kN 2 m 50 kN D E F -1m--1m--1 m--1m-|
Q2: A cantilever beam AB, loaded by a uniform load and a concentrated load, is constructed of a channel section. Find the maximum tensile stress g and maximum compressive stress gc. 15 N 20 N/m 40 mm 40 mm - 225 mm- 40 mm 200 mm 2.5m 0.5 m |
Calculate the maximum tensile and compressive stresses in the section of BC of the beam. 75 mm 75 mm Empedopre|72 -75 mm 150 mm 50 mm EN SAMA 00 kN B 1.0 m 60 kN -1.5 m-> rode D 1.0 m
Q2 A simply supported beam of cross section 280X 560 overall depth. It spans over a length of 8.5 m. The cross section of the beam has tension steel and compression steel 3-32 mm dia and 2-20 mm dia respectively. Assume the effective cover to steel as 50 mm. Dead load on the beam excluding its self-weight is 24.75 kN/m Imposed Load on the beam is 7 kN/m Take fck = 25 N/mm2 and fyk = 500 N/mm2 respectively Check whether the tension and compression steel provided is adequate to carry the given loads
a.) Compute the maximum bending moment of this beamb) The base of the beam is 200mm and the allowable flexural stress of the beam is 70 MPa, design the depth of the beam.
A single span member is 3m in length is made up of Apitong 200mm x 300mm wooden section, with an allowable stress based on 80% stress grade. The beam carries a uniform load of 18 kN/m including its own weight. The beam carries an axial tensile load of 180 kN a.) Give the actual tensile stress if only tensile force is acting. b.) Give the interaction value of both bending and tensile stress. Determine whether the wooden section is safe or not. not redesign the wooden section. c.) Give the ratio of the difference between its actual bending and tensile stress to the adjusted bending stress for slenderness
Calculate the maximum tensile and compressive stresses in the section of BC of the beam. BLO Nara 0.5 in LOO KN 1.5 m ( 1.00 KN C 0.5 m D 200 inn 100 mm 25 mm 150 mm t T 25 mm
with complete solution please Determine the axial stress in member BE of theloaded truss if it has a circular cross-section with adiameter of 20 mm.