A propped cantilever beam is loaded by a bending moment of the magnitude M3 at the point B asshown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight / thatare constant along the length of the beam L. The beam material's Young's modulus is Q.Figure Q1Assuming the positive deflections and positive vertical reaction forces are upward, calculateo the value of the reaction forces at points A and Bo the absolute value of the reaction bending moment at point A(a)Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing aforce R at Point B, the deflection of the beam consists of two parts,i.e.Part I- the deflection caused by MB;Part II- the deflection caused by RPlease treat R, w, h, L, E as variables in this step, the mathematical equation for the deflection atPoint B caused by R (Part II) can be written as

Answered: Image /qna-images/answer/2e8593be-ac54-4300-ac76-e8283d7d5213.jpg

A propped cantilever beam is loaded by a bending moment of the magnitude M3 at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight / that are constant along the length of the beam L. The beam material's Young's modulus is Q. Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B 0 the absolute value of the reaction bending moment at point A

A propped cantilever beam is loaded by a bending moment of the magnitude M3 at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight / that are constant along the length of the beam L. The beam material's Young's modulus is Q. Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B 0 the absolute value of the reaction bending moment at point 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: Beam AB is made of three plates glued together and is subjected, in its plane of symmetry, to the…

A: V = 3.5 KN = 3.5 ×10³ N I = 8.63 × 10-6 m4 Solution attached below

Q: Part B Perform double integration of the bending moment equations. You will obtain deflections in…

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

Q: A uniform elastic rod of length 4L and constant cross-section, is fixed at its left end as shown in…

A: For an uniform elastic rod of constant cross section,Length : 4LAn axial force P is acting at the…

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

Q: mning Goal: use the superposition principle to find the state -tress on a beam under multiple…

A: d1= 2.15 md2 = 0.5 md3= 0.95 md4=285 mmr= 150 mmP= 4.5 kNTo find:Part A: Determine the support…

Q: Question # 3: The built-up beam is formed by welding together the thin plates of thickness 3 mm. the…

A: Shear center is a point on the beam section where the application of loads does not cause its…

Q: A cantilever beam of length L and a cross section with shape factor f supports a concentrated load P…

Q: Question #3 For the beam shown in Figure 3, a) Determine the maximum compressive bending stress in…

Q: The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200…

A: The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200…

Q: A sandwich beam having steel faces enclosinga plastic core is subjected to a bending momentM = 5 kN…

A: Given:- M = 5 kN . m. Es = 200 GPa. hp =140 mm, and Ep = 800 MPa. h =146 mm andb =175 mm. To find:-…

Q: Consider the sheet metal cross section shown in (Figure 1). Suppose that r = 1.8 in, a = 2.8 in, and…

A: To determine the location of centroid oa given sheet metal cross-section. Given, Dimension a = 2.8…

Q: Problem 2 Consider the beam of length L and cross-sectional moment of inertia I shown in the figure…

A: Given data:

Q: ows an elastic be igidity EI and deflection v(x) d by an equation

Q: The rectangular cross-section beam in figure 3b is subjected to a maximum bending moment of 25,000…

A: given beam section:-

Q: For certain values of w and P, the maximum positive bending moment in the beam is +7044 lb-ft, and…

A: Here, M = 7044 lb.ft Iz = 18.3990 in4 For positive bending moment,…

Q: Solve the fram by slope-deflection method

A: P=792N EI=constant To find Moments at each joint using slope and deflection method

Q: The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and…

Q: A truss is subjected to different force combinations as shown in the figure below. The…

A: Here we need to find deformation in both the direction i.e. in x and y directions of point C. For…

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

A propped cantilever beam is loaded by a bending moment of the magnitude M3 at the point B as
shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight / that
are constant along the length of the beam L. The beam material's Young's modulus is Q.
Figure Q1
Assuming the positive deflections and positive vertical reaction forces are upward, calculate
o the value of the reaction forces at points A and B
o the absolute value of the reaction bending moment at point A
(a)
Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a
force R at Point B, the deflection of the beam consists of two parts,i.e.
Part I- the deflection caused by MB;
Part II- the deflection caused by R
Please treat R, w, h, L, E as variables in this step, the mathematical equation for the deflection at
Point B caused by R (Part II) can be written as

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: mention the given data in the question

VIEW

Step 2: calculation for redundant that is reaction at point B

VIEW

Step 3: calculation for reaction at point A and moment at point A

VIEW

Solution

VIEW

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

4. The truss shown in figure Q4.1 is constructed out of square steel bars, all of which are of 25mm x 25mm cross-section. The value of Young's Modulus for steel should be taken as 200 GPa. Calculate the horizontal deflection of point A when the truss is subjected to the loading shown. B 0.5m 5kN A с 10kN 2m D 1m
Please solve and or solution
B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: σ, X (M.1, M,1,)y+ (M, I. - M.1,-) z (1,1.-1²-) where My and M₂ are bending moments applied to a cross-section, and where ly, Iz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (i) What assumptions have been made in the derivation of the above expression? (ii) Indicate by means of a sketch the directions in which positive values of the bending moments My and M₂ act on a cut plane facing in the positive x direction.
3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the vertical displacements of points A and E? A 20KN dimensions in meters B rigid I ст 0.4 E 0.2 5kN E=7oGPa A=100mm²
Do not copy.
3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the vertical displacements of points A and E? A 20kN dimensions in meters B rigid C T 0.4 D E 0.2 5KN E=7oGPa A=100mm²
= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot
The piece of plastic is originally rectangular. Suppose that a = 300 mm and b = 450 mm. A) Determine the shear strain γxy at corner C if the plastic distorts as shown by the dashed lines.
A rectangular block of a material with a modulus of rigidity G = 90 ksi is bonded to two rigid horizontalplates. The lower plate is fixed, while the upper plate is subject to a horizontal force P. Knowing that the upperplate moves through 0.04 in. under the action of the force, determine (a) the average shearing strain in thematerial, (b) the force P exerted on the upper plate.
An overhanging beam ABC is supported and loaded as shown in Figure Q2(a). The beam with a T cross section has a longitudinal hole, (20x20) mm throughout its length, Figure Q2(b). If the beam is made of a material having an allowable bending stress, (øallow)e = 80 MPa in compression and (øallow) = 100 MPa in tension. Determine: i. The magnitude of the maximum load P that can be applied to the beam ii. The bending stress at the top of the hole at section a-a P 2 m 2 m 米 2 m )B C ia Figure Q2 (a) 160 |20x20 hole 110 NA 50 y= 80 40 100
A 2D structure having members connected by smooth pins is subjected to a load of 20 kN as shown in figure. The ratio of forces in members AB to AE is IG E 20 kN 45° B A 3 @ 3m = 9m
PROBLEM2: The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation frequencies. At w=wn, up = 15 cm; at w=5w, u, = 0.06 cm. Estimate the damping ratio of the system. @= PROBLEM3: Find the response of the rigid bar shown in Figure 2 when the end P of the spring PQ is subjected to the displacement, x(t) = xoSin10t. Data: k 500, 1 = 1 m, m = 10 kg, xo = 1 cm. N = m 00000 Uniform bar, mass m - Li+ Figure 2-Rigid bar undergoing rotational motion