For the beam shown, (a) use Castigliano's 2nd Theorem and calculate all the reaction forces, (b) draw shear and bending moment diagram. Assume E = 107 Psi. Also, find the deflection and the slope of point C. Given: I z = 0.01 ft^4 6 k 2 k/ft МА AA B 6'. - 20'- YA YB

For the beam shown, (a) use Castigliano's 2nd Theorem and calculate all the reaction forces, (b) draw shear and bending moment diagram. Assume E = 107 Psi. Also, find the deflection and the slope of point C. Given: I z = 0.01 ft^4 6 k 2 k/ft МА AA B 6'. - 20'- YA YB

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: Determine the deflection at point D by using conjugate beam method A is a pinned and C is a roller…

Q: What is the lateral deflection at joint E in mm?

A: A truss supported at hinged support at A and roller support at E, is loaded with vertical loading…

Q: Determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70(106) mm². a…

Q: A simply supported beam is loaded. Use E = 29 x 10³ ksi and I = 550inª. Using moment area method…

Q: a) Draw the approximate deflected shape from the bending moment diagram. b) Develop the piecewise…

A: Consider the given beam. Consider the equilibrium of forces in the vertical direction. Consider…

Q: Derive the equations of the deflection curvefor a cantilever beam AB carrying a uniform load…

A: Given data:- Intensity of load is q Below figure is given;

Q: 4. For the cantilever beam shown, determine the (a) slope and (b) deflection at the free end B. El…

Q: 2-c) Determine deflection at A and C; slope at B and D. What is the maximum deflection of the beam?…

A: The given beam is statically determinate beam can be analyzed using the equations of equilibrium.…

Q: Analyze beam using. displacement method of analysis as shown in Figure-I. to deteimine internai…

A: The moment distribution method is a structural analysis method for statically indeterminate beams…

Q: The simply supported beam consists of a W21x 44 str support at Dcan provideresistance either up or…

Q: Determine the value of vertical deflection at F (mm). The El value of the cantilever ABC varies…

A: Vertical deflection is generally the vertical distance between a point in the beam from under the…

Q: TOON 54 N/m B -1.8 m 0.9 m -3.6 m

Q: 3 kN B C A -5 m -5 m-

A: Length of cantilever beam, L =10mfixed end(c) is at right side.The point load is at free end of…

Q: Calculate the deflection at end B. Integration method.

A: Consider a section at a distance x from point B.

Q: (3) Beam ABC has a rectangular cross section of 300 mm by 100 mm. Attached rod BD has a diameter of…

Q: Problem 6: For the beam shown, compute (a) the slope and deflection at midspan and (b) the maximum…

Q: A simply supported beam is loaded. Use E = 29 x 10³ ksi and I = 550in⁴. Using moment area method…

Q: 1.) Deflection at the leftt end of the beam. Use E = 200GPa; 1 = 800 x 106 mm4 Use castigliano's…

A: Given: E=200 GPaI=800×106 mm4. To find: Deflection at left end. Sign convention: Force Left: Upward…

Q: MA RA 3m 100 kN/m B 200KN.m 2m X с

A: Given : Cantilever beam with UDL and UVL acting on it. We will apply macaulay method to solve it.

Q: 1. Compute the slope at B and deflection at points B & C of the Beam shown. Use the Double…

Q: 9.5-29 A steel beam ABC is simply supported at A and held by a high-strength steel wire at B (see…

A: The data which is given We have to determine the deflection at point C

Q: From the given figure: Let P = 63kips, L = 10ft, a = 6ft %3D = Pa (- +L), and the elastic curve is…

Q: For the beam and loading shown use the double-integration method he equation of the elastic curve…

A: Given data:

Q: Solve for the the deflection at Midspan. Consider EI to be constant and begin x from A.

A: Given data EI = Constant Find mid span deflection.

Q: #1 Determine the equations of the elastic curve for the beam using the x₁ and x₂ coordinates.…

A: P=29 a=3 L=11 To find slope at A and maximum deflection

Q: For the beam given above use the Conjugate Beam Metho to determine: a) The vertical deflection at…

A: Given : To Find :

Q: Prob 6. Determine the elastic curve equation for the beam. The beam has a base and height of (b=12…

Q: Using DIM, determine the equations of the elastic curve for the beam using the x1 and x2…

A: Consider the free body diagram of the given beam as shown below.

Q: nd the deflection/displacemo - point C using the momen rea method. ind the max deflection in pan AB…

A: To find deflection we take moment of area of bending moment diagram

Q: Using double integration method, for the overhanging beam shown, (a) derive the equation of the…

A: Given,

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. For the beam shown, (a) use Castigliano's 2nd Theorem and calculate all the reaction
forces, (b) draw shear and bending moment diagram. Assume E = 107 Psi. Also, find the
deflection and the slope of point C. Given: I_z= 0.01 ft^4
6 k
2 k/ft
MA
AB
C
20'-
6'-
YA
YB

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

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

Find the deflection equation of the beam of length 1, with distributed uniform load w(x) = w0 between 1/3 <= x <= 2/3
A concentrated load P = 5 kN, acting downwards, is located midway between the simple supports of the beam shown. Determine the deflection, in mm, at the free-end C. Use a = 5 m., E = 207 GPa, and I = 252 x10^6 mm^4.
Determine the maximum deflection between the supports A and B. El is constant, use Double Integration Method. C W L L B
Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. Specify the slope at A and the maximum deflection. EI is constant.
Fill in the blanks only.
Please answer in complete solution and draw an fbd.Note: Please use the second picture as guide for the formulas. Thanks°
Using either Virtual Method or Castigliano Theorem, compute the slope and deflection at point B of the steel beam. Use E = 200 GPa & I = 60 x 106 mm4. Support C is fixed-supported and A is free-end.
USE CASTIGLIANO’S THEOREM For the beam shown, determine the displacement at D and the slope at D using the indicated method. Assume A is a fixed support, B is a pin, and C is a roller. Draw the SHEAR and MOMENT diagram. E = 200 GPa.
For the simply supported beam shown, find the slope at A and the maximum deflection. Using moment area method. Neglect the weight of the beam. The moment of inertia of segments AB and CD of the beam is I, and the moment of inetia of segment BC is 2I. L= 4ft, P= 4 kips, E= 30x 10^6 psi, I= 16 in^4
For the beam shown, determine the displacement at Dand the slope at Dusing the indicated method. Assume A is a fixed support, Bis a pin, and Cis a roller. Draw the SHEAR and MOMENT diagram. USE CASTIGLIANO'S THEOREM E = 200 GPa. 35 kN 200 mm cross-section 400 mm А B -4 m- -4 m- -4 m
For the truss given below, assume constant EA for ach bar. Compute:a) the rotation of the member AB using the method of virtual work, andb) the vertical deflection at A using Catigliano's theorem.
PLEASE SOLVE THIS ONE AS SOON AS POSSIBLE. THANK YOU.. SURELY I WILL RATE U ( STEP BY STEP RPOCESS) USING AREA MOMENT METHOD