For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 13 kN/m, L = 6.0 m, E = 180 GPa, and I = 145 x 10 mm“. B Answer: (b) VA = -21.517 mm (c) 0A = 0.0004483 rad

For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 13 kN/m, L = 6.0 m, E = 180 GPa, and I = 145 x 10 mm“. B Answer: (b) VA = -21.517 mm (c) 0A = 0.0004483 rad

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: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: For the equilibrium of the beam ∑MA = 0( cw +ve, ccw -ve) [0.5 x 10 x 3.5 x (2/3)3.5] - (RB x 3.5) =…

Q: on at B. Assume that EI is constant for the beam. Let w = 12 kN/m, L = 4.0 m, E = 210 GPa, and I =…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: From Given beam ; ∑MA = -MA - wL2L2 + L4 =0 So ; MA = - 3wL28 Considering vertical forces = 0 We…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: B L Answer: b) Vmax i mm c) ®A = i rad

Q: The cantilever beam loaded as shown has the following properties: El = constant. Using Double…

A: Using double integration method

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given data: w = 8 kN/m, L = 4.0 m, E = 215 GPa, and I = 140 x 106 mm4 By using the…

Q: The beam AB supports two concentrated loads and rests on soil that exerts a linearly distributed…

A: Step 1:Step 2:Step 3:Step 4: Hope this helps!

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equ curve for…

Q: 125 x 106 mm“. B L Answer: (b) Vmax i mm (c) ĐA i rad

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Deflection is the transverse deformation that may occur due to shear force and bending moment .The…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given:- W=6 kN/m, L=5.5 m, E=180 Gpa and I=100×106 mm4 To determine:- the equation of the elastic…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: L/2 В W L/2

Q: From the given figure below : A. Compute the bending stress in the beam, in MPa, shown in the figure…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: For the loading shown, use the double-integration method to determine (a) the equation of the…

A: ASKED: To determine the equation of the elastic curve for the given cantilever beam and calculate…

Q: 11 7

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Note: Please show all of the free body diagrams used (from reactions and etc.,) and also show the…

Q: For the loading shown, use the double-integration method to determine (a) the equation of the…

Q: For the beam and loading shown, use the double- integration method to determine (a) the equation of…

Q: Current Attempt in Progress For the beam and loading shown, use the double-integration method to…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: B m mm

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: For the beam and loading shown, use the double- integration method to determine (a) the equation of…

A: Using double integration method W=5kN/m L=4m E=220GPa

Q: For the loading shown, use the double-integration method to determine (a) the equation of the…

A: Given Data:wo=9kN/mL=5.5mE=185GpaI= 135×106mm4

Q: X Incorrect For the loading shown, use the double-integration method to determine (a) the equation…

Q: Note: Please show all of the free body diagrams used (from reactions and etc.,) and also show the…

Q: For the loading shown, use the double-integration method to determine (a) the equation of the el (b)…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: To find maximum deflection and it's location

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: -4/2- B -²/1- …….

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Current Attempt in Progress For the loading shown, use the double-integration method to determine…

Concept explainers

Methods of Finite Element Analysis

Finite element analysis (FEA) is an integral part of computer-aided engineering (CAE). The FEA is a posteriori tool that requires extensive understanding and expertise to master. It has been used in many complex engineering and real-life applications. It began as an extension of the matrix method in structural analysis. It was initially used as a tool for structural engineering applications alone. Finite element analysis has numerous applications in certain domains such as in structural engineering and bio-medical engineering.

Question

For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever
beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 13
kN/m, L = 6.0 m, E = 180 GPa, and I = 145 x 10 mm“.
B
Answer:
(b) VA =
-21.517
mm
(c) 0A =
0.0004483
rad

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 6 kN/m, L = 4.5 m, E = 210 GPa, and I = 135 x 106 mm4. Wo B L Answer: (b) VA = mm (c) Өд — rad
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that El is constant for the beam. Let w = 8 kN/m, L = 5.5 m, E = 175 GPa, and I = 110 x 106 mm4. Wo B Answer: (b) х %D m (c) Vmax = mm
For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 10 kN/m, L = 4.5 m, E = 225 GPa, and I = 125 x 106 mm4. Wo B Answer: (b) VA = i mm (c) 8A = i rad
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 13 kN/m, L = 4.5 m, E = 210 GPa, and I = 150 x 106 mm4. B Answer: (b) Vmax i mm (c) Өд - rad
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at B, (c) the deflection at the free end, and (d) the slope at the free end. Assume that EI is constant for the beam. Let w = 13 kN/m, L = 4.0 m, E = 175 GPa, and I = 135 x 10^6 mm^4.
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at B, (c) the deflection at the free end, and (d) the slope at the free end. Assume that EI is constant for the beam. Let w = 15 kN/m, L = 4.0 m, E = 210 GPa, and I = 110 x 106 mm4
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 12 kN/m, L = 5.0m, E = 200 GPa, and I = 140 x 106 mm4. B Answer: (b) vmax = i mm (c) Өд - і rad
For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 11 kN/m, L = 6.0 m, E = 200 GPa, andI = 130 x 106 mm4. В L Answer: (b) VA = mm (c) Өд — rad
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that El is constant for the beam. Let W= 14 kN/m, L= 4.5 m, E = 205 GPa, and I = 105 x 106 mm4
Your answer is partially correct. For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 11 kN/m, L= 6.0 m, E= 200 GPa, and I = 130x 10 mm“. Answer: (b) VA = 18.27 mm (c) 8A = 0.0038 rad
For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let Mo = 50 kN•m, L = 3.0 m, E = 195 GPa, and I = 110x 106 mm4. | A B L Answer: (b) VB = i mm (c) Өв %3D i rad
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 5 kN/m, L= 4.5 m, E = 185 GPa, and I = 125 x 106 mm4. Answer: (b) Vmax (c) A = i = i W L mm rad B x