Q2. A simple supported beam of span 12m carries two points loads 220 KN & 135 KN at 3m & 8m from left support. The beam also subjected to distributed load 22KN/m as shown in figure. Determine the max. slop at x-0 and x-12, and find the deflection in center of beam. El is constant.

Q2. A simple supported beam of span 12m carries two points loads 220 KN & 135 KN at 3m & 8m from left support. The beam also subjected to distributed load 22KN/m as shown in figure. Determine the max. slop at x-0 and x-12, and find the deflection in center of beam. El is constant.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.5.40P: The wing of a small plane is represented by a simplified prismatic cantilever beam model acted on by...

See similar textbooks

Related questions

Q: A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated. The…

A: Given- Diameter (d) = 200 mm Let support reaction at support 1 and 2 be R1 and R2 respectively

Q: A cantilever beam ACB supports two concentrated loads P, and P2, as shown in the following figure.…

A: Draw a diagram for the problem. Here, x is the distance of the cross-section at which the bending…

Q: Q3) For the circular arch shown in the figure, compute the value of " P" such that the vertical…

A: Write the given values along with suitable variables and draw the FBD for the given question.

Q: Question Two For the shown simply supported beam, a deflection of 1.5 mm is developed in the beam at…

Q: Question 2 A beam ABC of length 3m has one support at the left end and the other support at a…

Q: A SSB of 8 m span carries a point load of 10 kN at its centre. It also subjects to a UDL of 1 kN/m…

A: Given:Length of beam,L=8m=8×103mmPoint load,P=10KN=10×103N=104NUDL=1KNm=1×103N103mm=1NmmYoung's…

Q: Q2: A simply supported beam has a span of 4m and carries a uniformly distributed load of 60 kN/m…

A: Given data: The uniformly distributed load is w = 60 kN/m and span of L = 4 m. The concentrated…

Q: The slope at end of the point A (ii) The deflection at point C

Q: As shown in the figure, a rigid beam with negligible mass is pinned at one end and supported by two…

Q: (b) A simple beam ABCD with a uniformly loading and a single load at point C is shown in Figure…

A: (i) Draw the free-body diagram of the given beam.

Q: Compute the slope and deflection of the simply supported beam shown in figure Q2a. Assume value of E…

Q: The simply supported beam ABC has the rectangular cross-section as shown in Figure Q2. The beam…

Q: (b) A simple beam ABCD with a uniformly loading and a single load at point C is shown in Figure…

A: A beam's deformation is often measured in terms of its deviation from its unloaded position. The…

Q: A beam ABCDE is 5 m in length and loaded as shown in Fig.3. Draw the S.F. and B.M. diagrams for the…

Q: A simply supported beam is loaded as shown in the figure below. Use superposition theory to find: a)…

Q: For the simply supported beam shown in Fig. Q1. Determine: a) The equation of the elastic curve. b)…

A: Elastic curve is defined as the deflected curve of the beam when subjected to some load.load may be…

Q: Figure Q2 (a) shows a simply supported beam ABCD under two point loadings at B and C, respectively.…

A: To find: The value of P that causes the total depth of the plastic zone to be 10 mm at the most…

Q: Figure Q2 shows an 11 m long steel beam AC of uniform cross-section, simply supported at left end A…

A: Reaction force at support A is RA = 152.5 kN. Reaction force at support B is RB = 187.5 kN.

Q: QUESTION 4 Solve the problem by the moment-area method. The beam has constant flexural rigidity EI.…

A: To find : The deflection δAand δB at point B and C . Given : The moment of inertia is I=18.1×106…

Q: 2. Curved block ABC, AB = parabolic curve and BC is straight in the horizontal direction. Point B is…

A: The Curved block ABC, AB = parabolic curve and BC is straight in the horizontal direction. Point B…

Q: Let's consider a canteliver beam, fixed supported at A, and subjected to the shown load. Determine…

Q: A Simply Suppor ted member of Length L that is simultancously acted an by a transves toad Q and…

A: given; transverse load =Qlets take rection force at A= RAlets take rection force at B= RBlength=L=AB…

Q: EIn the Figure below, a cantilever beam is subjected to an inclined force (P); calculate the: 1-…

A: (a) The normal stress: 144.3375 kPa. (b) The shear stress: 83.3333 kPa.

Q: 12. A cantilever beam AB, loaded by a uniform load and a concentrated load, is constructed of a…

Q: The beam shown below is subjected to a point load of 10kN and a uniformly distributed load of 3kN/m,…

Q: A simply supported beam is loaded as shown in the figure. Determine the slope and deflection at the…

Q: The simply supported beam loaded as shown. The length of the beam is 6 m, a = 4 m, the load P = 4000…

A: Given Load, P = 4000 N Length, L = 6 m Moment of inertia, I =…

Q: Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the…

Q: The beam shown below is under a concentrated load P at the free end (point C). The bending rigidity…

Q: Q1: For the square beam shown below, the cross section area is 40 m, a) Find the shear force and…

A: Consider the square beam, In support A the reaction force is RA consider and in support C the…

Q: Q 1. A simple supported beam of span 9m carries two points loads 210 KN & 125 KN at 2m & 6m from…

A: Given:- the span of simple supported beam=9m Uniform distribution load throughout the beam…

Q: 4. For the beam shown in the figure determine the following: (El = constant) a. value of El0 at A b.…

A: The movement of a beam or node from its original position is referred to as deflection in structural…

Q: A) Calculate the deflection and rotation at point (c) for the beam showing in figure by using unit…

Q: Question 4 A beam made up of two unequal leg angles is subjected to a bending moment M having vector…

A: Calculate the center position.

Q: 5. For the beam shown in the figure, determine the slope at A and B and the value of the maximum…

A: Whenever a beam is subjected to load it tends to bend under loading. This is called deflection of…

Q: A B Fuztuzt -L/2- -L/2- L/2 - Find deflection in the middle part of the EU on the beam in the…

A: Let us consider a dummy load P at the mid of beam i.e 3L/4 distance from both the ends. The free…

Q: A steel beam type W 250x80 is subjected to a concentrated force of 100kN at B as shown in the…

Q: Q2 The simply supported beam ABC has the rectangular cross-section as shown in Figure Q2. The beam…

Q: A beam 12m long is resting on supports at each end. If the beam carries loads at the positions shown…

Q: 3. For a beam shown below in Fig. 3. Answer questions a-e, given in the box below the space. 50KN 20…

A: Given DataP=50kNM=50kN.mθ=80° ***As question simply demands for the reactions***

Q: Calculate the deflection and rotation at point (a) for the beam showing in figure by using unit load…

A: Deflection If the beam undergoes some load on it then deformation in the beam takes place and this…

Q: 2. Below is the illustration of an overhanging beam. Determine the following: a. The deflection at…

A: Beams are structural parts used to bear loads. An overhanging beam is one in which the terminal…

Q: Q.1) For the figure shown, have the following information: (2) Link (1) made Link (2) made of…

Q: Calculate the vertical shear stress (N / cm2) at point A in the critical section of the beam below…

A: Please refer to the detailed attached solution:

Q: Q2: Find the deflection Equation of Simply Supported Beams Subjected to the triangular distributed…

Q: onsider the 2D truss shown here where element numbers are in arentheses. Suppose that both elements…

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

بليز محتاجه حل لهذا السؤال وما بقى ليـّۓ وقت

Q 2. A simple supported beam of span 12m carries two points loads 220 KN & 135
KN at 3m & 8m from left support. The beam also subjected to distributed load
22KN/m as shown in figure. Determine the max. slop at x=0 and x=12, and find
the deflection in center of beam. El is constant.
135KN
220KN
23KN/m
D
3m
8m
12m-

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

-3 The deflection curve for a simple beam AB (see figure) is given by v=q0x360LEI(7L410L2x2+3x4) Describe the load acting on the beam.
-10 The simple beam AB shown in the figure supports two equal concentrated loads P: one acting downward and the other upward. Determine the angle of rotation A at the left-hand end, the deflection 1under the downward load, and the deflection 2 at the midpoint of the beam.
A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
The cantilever beam ACB shown in the figure supports a uniform load of intensity q throughout its length. The beam has moments of inertia I2and IYin parts AC and CB, respectively. Using the method of superposition, determine the deflection SBat the free end due to the uniform load. Determine the ratio r of the deflection 6Bto the deflection 3Xat the free end of a prismatic cantilever with moment of inertia /] carrying the same load. Plot a graph of the deflection ratio r versus the ratio 12 //t of the moments of inertia. (Let 7, tlxvary from I to 5.)
A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assume that E = 190 GPa.
-5-7 A cantilever beam AB carries three equalaly spaced concentrated loads, as shown in the figure. Obtain formulas for the angle of rotation B and deflaction B at the free end of the beam.
A fixed-end beam AB supports a uniform load of intensity q = 75 lb/ft acting over part of the span. Assume that EI = 300kip-ft2. Calculate the reactions at A and B. Find the maximum displacement and its location. Repeat part (a) if the distributed load is applied from A to B.
A symmetric beam A BCD with overhangs at both ends supports a uniform load of intensity q (see figure). Determine the deflection SDat the end of the overhang. (Obtain the solution by using the modified form of Castiglianos theorem.)
A beam ABC is fixed at end A and supported by beam DE at point B (sec figure). Both beams have the same cross section and are made of the same material. Determine all reactions due to the load P. What is the numerically largest bending moment in cither beam?
A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure). Obtain a formula for the maximum bending stress ^ma* due to tne filing weight in terms of h, st, and 5st, where it is the maximum bending stress and Sstis the deflection at the midpoint when the weight W acts on the beam as a statically applied load. Plot a graph of the ratio o"max/ö"it (that is, the ratio of the dynamic stress to the static stress) versus the ratio iifS^r(Let h/S^ vary from 0 to 10.)
The cantilever beam ACE shown in the figure has FlexuraI rigidity EI = 2,1 x 106kip-in". Calculate the downward deflections Scand 8Sat points C and B, respectively, due to the simultaneous action of the moment of 35 kip-in. applied at point C and the concentrated load of 2,5 kips applied at the free end B.
The wing of a small plane is represented by a simplified prismatic cantilever beam model acted on by the distributed loads shown in the figure. Assume constant El = 1200kN-m~, Find the tip deflection and rotation at B.