(b) If the 6 kN load is now removed and a uniformly distributed load of 6 kN/m is applied over a length of 0.5m as shown in Fig.Q3(b), write an expression for the bending moment at a section X-X at distance x measured from the left-end to find slopes and deflections using Macaulay's method.

(b) If the 6 kN load is now removed and a uniformly distributed load of 6 kN/m is applied over a length of 0.5m as shown in Fig.Q3(b), write an expression for the bending moment at a section X-X at distance x measured from the left-end to find slopes and deflections using Macaulay's method.

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. The cantilever beam AB is of uniform cross section and its load is shown in figure 4. El for beam…

Q: A -3 m B -3 m IC + -3 m- 60 kN m

Q: A beam is shown in the figure below, and the flexural stiffness of the beam section is constant El:…

A: As bot mention which method to used for finding deflection at point C . Let's solve using…

Q: A 7-m cantilever beam supports a concentrated load equal to 60 kN at the midspan. Using Double…

Q: A simply supported beam is shown below. There is a mass (m) of 800 lb placed at midspan m L=30' e…

A: Mass = 800 lbE=29000ksiI=1000 inch4

Q: 18.

Q: A truss bridge has a concentrated load as shown below. As an Engineer use the principle of virtual…

A: Real Forces: Find all the member forces for the given loading. ∑MA=06×4 - VB×9 = 0VB=2.67 kN…

Q: A propped cantilever beam is loaded by a bending moment of the magnitude M3 at the point B as shown…

Q: 10 kips 3 kips/ft D B. 3 ft 4 ft 3 ft

Q: A propped cantilever beam is loaded by a bending moment of the magnitude M, at the point B as shown…

Q: A 4-meter cantilever beam supports a uniformly distributed load of w=25 kN/m at half of its span;…

A: Determinea. Deflection at the free end in terms of E. b. Slope at the free end in terms of E.

Q: A truss carries a concentrated load at points B, E, F, and G as shown in the figure below. Using…

A: Truss: Truss is a pin jointed structure which are subjected to loading at joints only and there is…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Q4\ Use the Finite Difference Method to determine the deflections at the nodes of the simply…

Q: A simply supported beam has a span length of 13 meters. It carries a concentrated load of 5 kN…

A: E = 200 GPa I = 70 × 106 mm4 Determine the deflection at the point where the uniformly distributed…

Q: Y 2m M₁ = 5 KN-m 3m -X a.) For the beam and loading shown, determine the moment reaction at support…

Q: 1200 N.m 1000 N. m 800 N. m L. = 2 m L: =1.5 m L1 = 3 m %3D

A: A series of torque is acting on shaft , diameter and modulus of rigidity is given and it has been…

Q: Include figures in solving the MAM 100KN 40KN/m 3m 3m 4m 1. solve for maximum deflection and the…

Q: Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A…

A: Given Data:P1=14kNP2=7kNL=2.3mE=200 GpaI=19.6×106mm4To Calculate deflection at B and C by using…

Q: The cross sectional area of each member of the truss shown in the figure is A = 500 mm^2 and E = 200…

Q: A load P is supported by a structure consisting of rigid bar BDF and three identical 12-mm-diameter…

Q: 5. Determine the maximum slope of the beam shown in the figure. Note: Only consider the effect of…

A: Given :

Q: The magnitude of the concentrated load to be applied at the free end B of a cantilever beam as shown…

A: AB is a cantilever beam, where B is free end. Now, concentrated load is applied on free end i.e, B

Q: Example: Detemine the slope at B, D and the deflection at A and C for the beam hown in Fig. below,…

Q: Problem 2-A concentrated couple, Mo = 600 Nm acts at the center of the simply Supported beam which…

Q: h. Estimate the deflection at x = 8.0 as well as the rate of deflection for the corresponding…

A: From the given Bending moment diagram - Mx = MA - RAx here, x = any distance between A and B, from…

Q: The beam is subjected to the linearly varying distributed load at segment AB and a uniformly…

A: The double integration method is solving the deflection and slope of a beam at any point. where x…

Q: For

Q: The bending stiffness of the beam given in the figure is El. Accordingly, the integration method…

Q: A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at…

Q: A cantilever beam of length L = 60 in is made from two side-by-side structural- lbf/ft. The beam…

Q: Consider the cantilever beam in the figure, subject to a concentrated force P = 20kip at B and a…

Q: Part 2: for the frame shown below, P=20 kN and a=2 m, Assume I=20000 in and E=30,000 ksi for all…

A: Given:P = 20 kNa = 2mI = 20000 in4E = 30000 ksiRequired:Vertical deflection of E

Q: Determine the value of the force P that will prevent the cantilever beam from deflecting at the free…

A: First we will find deflection from udl only Further we will find deflection due to P by double…

Q: Determine the reaction forces at the end B of the beam shown in Figure Q6 by using the virtual-work…

A: Given Data:load=Wspan= LEI = Constant

Q: Question 2 (Bending Moment and Shear Force) The simply supported beam AD is subject to a uniform…

A: The given beam AD is simply supported.The support reactions can be determined using equilibrium…

Q: 2. By the moment-area method or conjugate-beam method, determine the deflection at the midspan (ElA)…

Q: A cantilever beam AB is loaded as shown in Figure 1. EI is constant for the beam. L = 2.7 m and P =…

A: Slope of the beam at B using the moment area method.Vertical deflection at B using the conjugate…

Q: A 240mm diameter circular simply supported beam carries a concentrated load, uniformly distributed…

A: The question is based on the simply supported beam subjected to uniform, varying, and point load.…

Q: A simply supported beam has a rectangular cross section with opening as shown in figure below. Span…

A: Given: The length of the simply supported beam is 4 m. The uniformly distributed load on the beam is…

Q: The simple portico in the figure consists of a rigid lintel of length L supported by two cylindrical…

A: Given simple portico consists of a rigid lintel of length L supported by two cylindrical pillars of…

Q: A beam 4m long is simply supported at its ends. The beam is loaded with a downward vertical load…

A: Given datalength of beam =4mdownward vertical load =300N E = 180 GPa,I = 160 x 106 mm4loading is…

Q: Q3 – what is the main different between basin and furrows irrigation and what is method do you…

A: There are different methods of irrigation of crop depending upon various factors bloke soil type,…

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

(b)
If the 6 kN load is now removed and a uniformly distributed load
of 6 kN/m is applied over a length of 0.5m as shown in Fig.Q3(b), write
an expression for the bending moment at a section X-X at distance x
measured from the left-end to find slopes and deflections using
Macaulay's method.
A
1m
By
4 kN
1.5m
2 kNm
1.5m
Fig. Q3(b)
6 kN/m
D
E
10.5m/0.5m

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

VIEW

Step 2: Reactions

VIEW

Step 3: Macaulay's method

VIEW

Step 4: Expression of slope & deflection

VIEW

Solution

VIEW

Step by step

Solved in 5 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

A beam is subjected to a bending moment, as shown in the figure below, where point B is assumed to be an internal connection, point C is assumed to be a rolling bearing, and the flexural stiffness of the beam section is a constant EI:(a) Use the Conjugate Beam Method to find the slope of point B after deformation.(b) Same as above, try to find the vertical displacement of point D.Tip: The left and right slopes of point B may be different
2. By the moment-area method or conjugate-beam method, determine the deflection at the midspan (ElA) for the beam shown in figure below. All figures must be included and drawn straight. (Solve the deflection in terms of EI, these two values of E and I are not given in the problem.) P, P2 3.0m 1.0m 1.0m A 5.0m P1 P2 N N 976 676
Subject: Structural Theory 2 Task: Answer this question in different methods such as Double Integration method, area moment method, conjugate beam method, AND virtual work method.
For the beam below (EI constant) use the SLOPE DEFLECTION METHOD to answer the following questions. a) How many unconstrained degrees of freedom (DOF) are present in this problem? What are they? b) Calculate the fixed end moments? What is the purpose of a fixed end moments? c) Write the end moment equations in terms of the unconstrained DOF(s). Apply equilibrium to solve for the unconstrained DOF(s). Determine the end moments at A, B and C.
consider yhe beam shown in figure 1. El is constant Use the conjugate-beam method. Suppose thag M= 24k•ft and El is in k•ft^2 a) determine the slope at C measured counterclokwise from the positive x axis b) determine the displacement at C measured upward answer in k•ft^2/El please 6k M A C B 4 ft 6 ft
Handwritten answers only pls.
Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN
2. By the moment-area method or conjugate-beam method, determine the deflection at the midspan (EIA) for the beam shown in figure below. All figures must be included and drawn straight. (Solve the deflection in terms of El, these two values of E and I are not given in the problem.) P, P2 1.0m B 3.0m 1.0m A 5.0m P2 N 976 676
Pls answer fill in the blanks C1, C2 and Ma.
Obtain the formula for the deformed beam shown below. Indicate the location of where the maximum deflection occurs and its value.Also obtain the deflection at point C and the rotation at point A for the beam using (a) the moment area method and (b) the conjugate method.
Using the Method of Consistent Deformations (Force Method), determine the Fixed-End Moments (FEM) at the fixed support of each beam shown. Take flexural rigidity, EI, as constant.
Use conjugate beam method