Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0 < x < L. EI is constant. Also, determine the deflection at the midspan and rotation at the left end support. Determine the equation of the elastic curve for the beam using the x coordinate thatis valid for 0 < x < L. El is constant. Also, determine the deflection at the midspan androtation at the left end support.2L2B

Answered: Image /qna-images/answer/ca879a12-9a7c-4781-ac4c-6869529f8d8f.jpg

Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0 < x < L. El is constant. Also, determine the deflection at the midspan and rotation at the left end support. A 2 P L 2 B

Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0 < x < L. El is constant. Also, determine the deflection at the midspan and rotation at the left end support. A 2 P L 2 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: Assume that the flexural rigidity of the beam is constant. Given: w=6w0 Determine the reaction at…

Q: Determine the equation of the elastic curve Specify the slope at point A Specify the deflection at…

Q: by double integration method, the El6 at the right end of the beam by double integration method, the…

Q: The rigid member ABC is supported by steel wire (AE), pin support at B, and aluminum block CD as…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given data: E=29000 ksiI=843 in4EI=24447000 k.in2EI=169770.8333 k.ft2

Q: A propped cantilever steel beam is constructed from a W12 x 35 section. В The beam is loaded by its…

A: (a) calculate reaction at A and B (b) Location of zero moment (c) Maximum deflection and rotation at…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape (E = 29,000 ksi;…

Q: The simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi;…

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: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

Q: A cantilever beam is subjected to a concentratedmoment at B. The length of the beam L = 3 mand the…

A: Given:- L=3m h=600mm The longitudinal strain at the top of the beam=0.0005 The distance from the…

Q: 2. The simply supported beam is made of A-36 steel and is subjected to the loading shown. Determine…

A: The modulus of elasticity The moment of inertia We have to determine the deflection at point C

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given Data: E=29000 ksi I=843 in^4 EI=244.47*105 ks-in2 w=7.5 kips/ft LAB=10 ft LBC=LCD=5 ft LDE=6…

Q: question The depicted beam is loaded on its cantilever part by a constant line load. ET Compute the…

Q: A beam is subjected to equal bending moments of M₂ = 4300 N-m. The cross-sectional dimensions are b…

A: Answer (a) Calculation of centroid We know that centroid of a section can be determined using y =…

Q: It is the main reason why there is a deflection in the beam. A. Torsion B. Shear Force C. Bearing…

A: Beam Deflection- Deflection is the degree to which a particular structural element can be displaced…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

Q: \ beam is subjected to equal bending moments of M, = 3600 N-m. The cross-sectional dimensions are b=…

Q: ctural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume that the support at D can…

Q: Consider the simply supported beam shown below. L= 3m, w= 12kN/m, E= 180GPa, I = 140(10)^6 mm^4.…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given Data: E=29000 ksi I=843 in^4 EI=244.47*105 ks-in2 w=4.9 kips/ft LAB=14 ft LBC=LCD=8 ft LDE=5…

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

Q: Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0…

Q: 2. A frame is made up of a vertical member AB of length L, which is fixed at A and a horizontal…

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: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given data: E=29000 ksi I=843 in^4 w= 4.8 kips/ft LAB=12 ft LBC=8 ft LCD= 8 ft LDE=6 ft It is…

Q: A symmetrical beam cross section is shown below. The centroid is in the exact centre of the section.…

Q: Problem 7: The beam below is subjected the loading as shown. Use the Moment-Area method to determine…

A: An overhanging beam with uniformly distributed load and point load.A is roller support, B is hinged…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

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

Q: The simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi;…

Q: 16. Deflection is directly proportional to the, force. power of the C. first D. second A. third B.…

A: When any force is applied on the beam, it deflects the beam. This deflection is very small and…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

Q: A w (kN/m) L ŢŢ B tie rod

Q: 24RN /m 12AN/m 3m Sm

Q: For the cantilevered beam shown, which of the following TRUE about the internal shear force at the…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given Data: E=29000 ksi I=843 in^4 EI=244.47*105 ks-in2 w=7.5 kips/ft LAB=11 ft LBC=LCD=7 ft LDE=7…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given data, Section W21×44 The modulus of elasticity, E=29000 ksi Moment of inertia,I=834 in4…

Q: The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi;…

A: Given Data: Given Data: E=29000 ksi I=843 in^4 EI=244.47*105 ks-in2 w=6 kips/ft LAB=13 ft…

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

Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0 < x < L. EI is constant. Also, determine the deflection at the midspan and rotation at the left end support.

Determine the equation of the elastic curve for the beam using the x coordinate that
is valid for 0 < x < L. El is constant. Also, determine the deflection at the midspan and
rotation at the left end support.
2
L
2
B

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

The simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume that the support at D can provide resistance either up or down. For a loading of w = 7.8 kips/ft, determine:(a) the beam deflection vA at point A.(b) the beam deflection vC at point C.Assume LAB = 10 ft, LBC = 8 ft, LCD = 8 ft, LDE = 7 ft.
The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.“1. Assume that the support at D can provide resistance either up or down. For a loading of w = 7.2 kips/ft, determine: (a) the beam deflection Va at point A. (b) the beam deflection vc at point C. Assume LAB = 11 ft, Lec = 6 ft, LcD = 6 ft, LDE = 5 ft. В D E LAB LBC LCD LDE Answers: (a) VA = 0.9 in. (b) vc = 0.5| in.
A simply supported beam carries a moment applied to one end as shown. El is constant. a) Calculate the support reaction forces for the beam b) Write out the M(x) equation using discontinuity functions. c) Determine the slope and deflection equations by integrating the M(x) equation as needed and using two B.C. to solve for the integration constants, C1 and C2. d) Calculate the deflection at the mid-span of the beam. e) Check: Calculate the deflection at point B (right support). A 12A
The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; I=843 in.4]. Assume that the support at D can provide resistance either up or down. For a loading of w = 6.6 kips/ft, determine: (a) the beam deflection VA at point A. (b) the beam deflection vc at point C. Assume LAB = 10 ft, LBc = 7 ft, LcD = 7 ft, LDE = 6 ft. W B Answers: (a) VA = (b) vc= LAB LBC C in. in. D LCD O LDE E
Solve using Virtual Work Method refer to the truss shown below. The A and B are hinge support.
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.
A beam is subjected to equal bending moments of M. = 3700 N-m. The cross-sectional dimensions are b = 110 mm,c= 32 mm, d = 65 mm, and t = 5 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M. (typ) K b Answer: (a) y= 1 mm mm4 S= mm? (b) OH = MPa (c) OK = 1 MPa (d) Omax = MPa
Determine the value of the uniformly distributed loadd "w". What is the numeric value of C1 ( 1st constant)? Dtermine the deflection at midspan.
Determine the horizontal deflection at joint C of the truss by virtual work method. Use E = 10,000 Ksi. A = 5 in² L1 = 4 ft, L2 = 5 ft, L3= 12 ft, P = 26 K, A L1 B __ L2 → P L3 K
Determine the deflection 8g at the free end of a cantilever beam AB with a uniform load of intensity q=4 kN/m acting over the middle of the length and a point load. The lenghth of beam is equal to L=3 m. The beam has flexural rigidity El=4286311 Nm². Note that upward deflection is positive. P=qL/6 A +4 3 9 L 3 13 B ↑
A beam is subjected to equal bending moments of M₂ = 2700 N-m. The cross-sectional dimensions are b = 100 mm, c = 27 mm, d = 72 mm, and t = 4 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. Answer: (a) y= i ¹₂ = i S = i M₂ (b) σH= i (c) OK= i (d) a max M₂ x mm mm4 mm³ MPa MPa MPa (typ) N b H K
.