From the beam shown with fixed end support atA and rollers at B and C respectively, it carries a uniform load of 2 KN/m along span AB and a concentrated load of 12 KN at the mid span of BC. Using slope deflection method and constant value of El with E = 200,000 MPa and I = 400 x 106 mm4. What is the slope at B in radian? Express your final answer in absolute value and use four decimal places. 2 kN/m 12 kN 24 m 8 m

From the beam shown with fixed end support atA and rollers at B and C respectively, it carries a uniform load of 2 KN/m along span AB and a concentrated load of 12 KN at the mid span of BC. Using slope deflection method and constant value of El with E = 200,000 MPa and I = 400 x 106 mm4. What is the slope at B in radian? Express your final answer in absolute value and use four decimal places. 2 kN/m 12 kN 24 m 8 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The continuous beam shown in the figure is fixed at both ends A and D, and supported by rollers at B and C Assume I = 800 x 106 mm4 and E = 70,000 MPa. W1 (kN/m) = 25 F (kN) = 50 S (mm) = 15 If there is a settlement of S at the support C, solve the following using slope deflection method: 1. Slope at B, in radians
Given a cantilever beam of length L=2.1meters. The left support “A” is free while the right end “B” is fixed. With constant EI=19000 KN-m2 A downward concentrated load of 87KN is applied at “A”. Using Double Integration Method (DIM) with origin taken at point A where 0 ≤ x ≤ L, calculate the slope at the free end? Express your answer in "degrees" in 3 decimal places. Take note that 180 degrees = pi radians.
Determine reaction at A and slope at A. Use double integration method, Consider 150 mm x 150 mm section and E = 200 GPa a = 3.3 m, b = 26 kN/m, c = 20 kN.
Analyze the cantilever beam loaded as shown below, use area-moment method Determine the deflection at the free end Ans: kN.m3 Determine the slope at point B. Ans.: kN.m2
6. A simply supported beam carries a concentrated load of 24 kN at 6 meters from the left support (1 meters from the right support). Use EI = 80,000 kN-m2. Solve for the slope at the left support in degrees. ROUND OFF TO FIVE DECIMAL PLACES.
Use the double integration method to derive the formulas for midspan deflection for propped cantilever support conditions, with a load P at L/2. The answer should come out to (PL^3)/192EI).
Given the figure below. Use UNIT LOAD METHOD in determining the maximum deflection at midspan. E and I are constant. 1. In solving the maximum deflection at midspan, how many portions or segments must the beam be divided so that the real and virtual loadings are continuous in each segment?2. Consider segment AB of the real beam, with x measured from A, what is the moment equation M_(AB ) ?3. (In solving the maximum deflection at midspan, how many portions or segments must the beam be divided so that the real and virtual loadings are continuous in each segment?) in this question, what are the limiting values of x?
Using the moment-area method, find the slope at point C of the simply supported beam, shown in the figure, having an imposed point force P at the middle. EI=50000 KN/m^2, constant over the entire beam span.
(a) Compute the vertical deflection and slope of the cantilever beam at points B and C in Figure P8.20. Given: EI is constant throughout, L = 12 ft, and E = 4000 kips/in.2 . What is the minimum required value of I if the deflection of point C is not to exceed 0.4 in.?
A beam is shown in the figure below, and the flexural stiffness of the beam section is constant EI: Use the conjugate beam method (Moment-area Method) to obtain the slope (Slope) after the deformation of point A and the vertical displacement (Deflection) of point C *The correct answer is 24 kN-m2/EI clockwise and 58.7 kN-m3 /EI down, but I need to calculate steps, thanks
For the figure shown, determine the EI (area) under AB about point B using area –moment method
USE SLOPE DEFLECTION METHOD Determine the slope located at the roller support and the deflection 1 m left of the right support.