Page 6 Question 6 A cantilever beam AB of length L is subjected to a uniformly distributed load w and simply supported at the end A with a spring. Assume that El is constant and stiffness of the spring is k. (a) Determine the reaction forces at the end B of the beam shown in Figure Q6 by using the virtual-work method. (b) Describe the procedure to determine the deflection at the middle of the beam in 100 words (without actually solving the problem). O DEN5102 (2022) W L Figure Q6 B

Page 6 Question 6 A cantilever beam AB of length L is subjected to a uniformly distributed load w and simply supported at the end A with a spring. Assume that El is constant and stiffness of the spring is k. (a) Determine the reaction forces at the end B of the beam shown in Figure Q6 by using the virtual-work method. (b) Describe the procedure to determine the deflection at the middle of the beam in 100 words (without actually solving the problem). O DEN5102 (2022) W L Figure Q6 B

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 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 steel beam, of lengths a=4 m and b= 3 m and a hollow box cross section, is supported by a hinge…

A: A simple support beam with the hinge at A and roller support at B and an overhang portion BC. On…

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

Q: A cantilever beam carries an uniform load w along its entire length, L. EI is constant. a) Calculate…

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

Q: F1.5 m→–1.5 m→- 2.1 m A В D Pj = 400 kN 2.4 m P2 = 360 kN %3D F 0.6 m E

Q: Consider a non-uniform cantilever beam that is 1 m long and whose flexural rigidity is given by the…

Q: Exercise 10: For the 2D frame shown in figure, E, A, I and L of the beam are given. Determine the…

Q: Calculate the value of the integration constant C4. Enter your answer in kNm2 to three decimal…

A: Given:a=b= 5mq= 5kN/mRequired:Value of integration constant C4

Q: A steel beam, of lengths a= 6 m and b = 3 m and a hollow box cross section, is supported by a hinge…

A: The intensity of q starts from zero to 3.1 KN/mThe distance 'a' is 6m. The distance 'b' is 3m.

Q: A W = 500 N R = 150 mm 250 mm Figure Q3

A: from the figure,using equilibrium conditionmoment at the supportMA=w150 N-mmtotal strain…

Q: There is a beam AD subjected to two concentrated forces, as shown in the figure below, the Young's…

A: To find Slope at A and deflection at B?

Q: B my and M

Q: A simply supported beam AB is subjected to a concentrated bending moment, as shown in the figure…

Q: Loads PA and PB are applied to a uniform cantilever beam AC, causing deflections SA and dB at A and…

A: cantilever beam AC is givenFINDdetermine expressions for PA and PB in terms of E, I, L, , and

Q: Based on the given values of dimensions and material parameters, the value of R can be calculated as…

A: The giveb beam is a propped cantilever.It is subjected to a clock-wise moment of magnitude at the…

Q: Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A…

A: Given data: d1=0.90 ind2=0.80 ind3=1.25 inL1=11 ftL2=9 ftL3=5 ftE1=15200 ksiE2=28000 ksiE3=15200…

Q: The beam in the figure below is subjected to a load P=2.5 kN at its end. Young's modulus is 210 GPa…

A: E = 210 GPaI = 5*106mm4

Q: Given: The beam below is welded to the wall at the left end. The beam is of length L. There is a…

A: Solution: To determine the equation of deflection curve for cantilever beam AB subjected to a…

Q: A uniform, simply supported beam, is loaded as shown in Figure 2. Using singularity functions,…

A: P = 320 N w = 200N/m

Q: A beam is subjected to a bending moment, as shown in the figure below, where point B is assumed to…

A: θ in Real Beam = SF in conjugate beam δ (deflection in real beam) = BM in conjugate beam

Q: A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly…

Q: A cantilever beam is loaded as shown in the figure. Assume El is constant. Determine: a. The moment…

Q: 6.13 Determine the slope and deflection at point A of the beam shown by the moment-area method. B El…

A: The bending moment will be zero at point A, Maximum moment at B is =WL23 Now calculate the area of…

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

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

2. For the cantilever beam shown in the figure, what will cause zero deflection at A? ANS. P=112.5 N A P M = 400 N-m B 2 m 2 m
Part C
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
A beam supported by three identical springs at points A,B,C (see figure). Given that flexural of rigidity of the beam, EI= 2.029X1011 N.mm2 ; spring constant,k = 1471.5N/mm, w=116N/mm All dimensions are in mm. 1. What is the reaction for at point A,B and C? 2. What is the deflection at point B? 3. Please draw shear-force and bending moment diagram.
Problem 1: A nonuniform beam is simply supported at both ends. The flexural rigidity of the left part equals EI, whereas the flexural rigidity of the second part equals (s+1)EI where's'is your serial number. (a) Use K functions to derive the characteristic equation; (b) Solve for the characteristic equation to derive natural frequencies. Report the results. (s+4)EI EI L/2 SERIAL NUMBER= 2
Determine the maximum deflection 8 in a simply supported beam of length L carrying a uniformly distributed load of intensity Wo applied over its entire length. Using the listed method as follows: e. Conjugate Method
image attached.
Read the question carefully and give me right solution according to the question
Use conjugate beam method
ILLUSTRATE FREE BODY DIAGRAM. and show your complete solutions for better understanding.