Use the Slope-Deflection equations to determine values of unknown displacements (in terms of E/). Determine moments at A, B, C, D and H and draw the BMD for the frame. Assume that flexural rigidity, El, of member BC is three times of that of members AB and CD.

Use the Slope-Deflection equations to determine values of unknown displacements (in terms of E/). Determine moments at A, B, C, D and H and draw the BMD for the frame. Assume that flexural rigidity, El, of member BC is three times of that of members AB and CD.

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: .6-1 A cantilever beam AB is subjected to a uni- orm load of intensity q acting throughout its…

A: Given that:

Q: @ The beam is loaded by its self-weight with intensity q. The length of the beam is 11.2 ft. Let E=…

Q: please solve this problem by the castigliano's method

A: Cross-sectional Area, A = 300 mm2 = 0.0003 m2 E = 200 GPa…

Q: Determine the displacement at C and the slope at B. EI is constant. Use the moment-area theorems. |A…

Q: Determine the vertical displacement of joint C of the truss shown below using Castigliano's theorem.…

A: A truss is given with pin support at A and E.The truss also supports two point loads 24kN and 40kN…

Q: ) In the overhang beam, it has constant bending stiffness of 2EI from C to D and EI from D to A.…

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

Q: Using the double integration method, determine the equation of elastic curve for the beam using…

Q: B/ 300 MA RB Determine the reactions RA R and MA for this beam. (Solve by the method of…

A: Given prop cantilever and it is asked to find reaction at A and B also moment at A.

Q: 1. Derive the equation of the elastic curve for the beam using the x coordinate that is valid for 0…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos²…

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the equations of the elastic curve for the beam using the xl and x2 coordinates. Specify…

A: Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. Specify…

Q: A beam is subjected to the loading condition shown below. Determine the displacement at A and the…

A: “Since you have asked for multiple methods, we will provide the solution only using the second…

Q: #1 Determine the vertical displacement of joint A. Each bar is made of steel and has a…

A: Given: P=54KN, a = 2m Required: Vertical displacement of A

Q: QI. Using the force method of analysis, determine the forces in each member of the truss shown in Q.…

Q: Using double integration determine the equations of the elastic curve for the beam. Apply boundary…

Q: The shear forces of a member is equal but opposite in direction in factor method.

Q: For the following indeterminate truss (with SI = 1) determine all the member forces using the Force…

Q: Problem: Determine the force in the spring of stiffness k. El is constant. A B k Prob. 12-123 2 a

A: EI = constant Determine the force (R) in the spring of stiffness k.

Q: Determine the vertical displacement of joint of the truss. Each member has a cross-sectional area of…

A: Determination of vertical deflection of Joint B####

Q: A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:…

Q: 8kN 16KN/m A E 75m .75mm D ()=ay 2m B 75m 1.5m

Q: Determine the vertical displacement of joint C of the truss. Each member has a cross-sectional area…

A: Using method of virtual work for external loading : 1*∆=∑ (n*N*L)/AE Where 1=External unit load…

Q: P P P P P 6 T 6 66 6 6 i (a) Determine the deflection & at the midpoint of the beam. (Enter the…

Q: 2. Determine the equations of the elastic curve for the beam using the x coordinate. (Please use the…

A: Determine the equations of the elastic curve for the beam using the x coordinate.(a) Specify the…

Question

22
Q2
Use the Slope-Deflection equations to determine values of unknown displacements (in terms of E/).
Determine moments at A, B, C, D and H and draw the BMD for the frame.
Assume that flexural rigidity, El, of member BC is three times of that of members AB and CD.
30 kN
4 m
3 kN/m
B
E
3EI
ΕΙ
2 m
4 m
A
ΕΙ
D
6 m

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: Introduce the problem statement

VIEW

Step 2: Determine kinematic indeterminacy

VIEW

Step 3: Determine fixed end moment

VIEW

Step 4: Formulate slope deflection equations

VIEW

Step 5: State equilibrium equations

VIEW

Step 6: Determine joint displacements

VIEW

Step 7: Determine support moments

VIEW

Step 8: Plot bending moment diagram

VIEW

Solution

VIEW

Step by step

Solved in 9 steps with 15 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

SOLVE USING METHOD OF LEAST WORK (Castigliano's second theorem)
Consider the frame shown below: (a) Without conducting any analyses, which of the two columns, AB and CD, is expected to experience a larger shear force? Explain the reasons, (b) Using the slope-deflection equations, determine the end moments of all members, (c) Compute the horizontal reactions at points A and D and compare the result with the expectation from part (a). EI is constant and all members are axially rigid. 10 kips B 15 ft A 10 ft с 10 ft D
A tapered bar AB of solid circular cross section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dA and de, respectively. Determine the elongation of the bar due to the load P, assuming that the angle of taper is small P da A B T dв 1 m
Determine/derive the Shear and Moment Equations of each segment of the beam (kindly include the FBD). Compute the Reactions and Draw the detailed Shear and Moment Diagram indicating values.
Show full solution
The cantilevered beam is subjected to the loading shown. Determine the slope and displacement at C. Assume the support at A is fixed. EI is constant.
Determine the vertical reaction at B, (By). The support at A is a fixed support and B is a roller. EI is constant. Hint: Make By the redundant and use the equations on attached sheet to determine deflections as required. А 2.0 k/ft B 100 ft- k 20 ft 10 ft
For the beam and loading shown, EI is constant. Note that the beam is statically indeterminate to the first degree. (a) Determine the equations of the elastic curve for the beam using the x coordinate. (b) Determine the slope at A. A L- wo B
SLOPE DEFLECTION METHOD Find the reactions for the indeterminate frame. E=constant. 100 N
Determine the horizontal displacement of joint A of the truss. Each member has a cross-sectional area of A=300mm2, E=200GPa. Use Catigliano's theorem.
Solve using slope defelction method
(1) Determine the equations of the elastic curve for the beam using the x and x2 coordinates. Then, find the deflection under the load P. EI is constant. L