1. A 5 m simply supported beam is loaded with a 10 kN-m concentrated moment placed 3.5m from the left support. The flexural rigidity of the beam is El. If the distance x is measured from the left support. Using double integration method a. Determine the equation of the slope. b. Determine the equation of the deflection curve.

1. A 5 m simply supported beam is loaded with a 10 kN-m concentrated moment placed 3.5m from the left support. The flexural rigidity of the beam is El. If the distance x is measured from the left support. Using double integration method a. Determine the equation of the slope. b. Determine the equation of the deflection curve.

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…

Q: A propped cantilever beam having a span of 6 m is loaded with a uniformly distributed load of 12kN/m…

A: As per bartleby guidelines experts are allowed to solve only first three parts of the question.…

Q: 6. Compute the slope and deflection at 4 m from the left support on the non-prismatic beam loaded…

A: Double Integration Method Step:1 Support Reactions

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

Q: The beam is loaded as shown. Find a) deflection at B, b) slope of the segment AB connected to the…

Q: itegrate your expression for M(x) twice to obtain expressions for slope and deflection respectively.…

Q: For Beam AB (EI Constant), use the Unit Load Method to Determine: 1. The Deflection atC 2. The…

Q: Compute the ff. A) Solve the vertical reaction at point A using slope deflection method. B) Solve…

A: Given Data E = 210 GPa I = 200 × 106 mm4 Determine using Slope-Deflection Method. A. Vertical…

Q: (A 30' 5 EQUAL SACES 35 BEauAL SICES Ga I- 30 8. GI ca 30 -I- O FLOOR FRAMING PLAN uestions: O Dran…

Q: 1. Let a = 2 m, w = 5 kN/m, v = 8 kN/m. El is constant. A simply supported beam with overhanging…

Q: Determine

Q: A. Determine the slope and deflection at the free end. B. Determine the slope and deflection 4m from…

Q: A propped cantilever beam having a span of 6 m is loaded with a uniformly distributed load of 12kN/m…

Q: 2. For the overhanging beam shown, determine the maximum value of Elð between the supports using…

A: Solution Given Data

Q: Determine the deflection at C (in mm). Let P = 20.8 kN, a = 3 m. Use E = 200 GPa, 1 = 70(106) mm².…

Q: A simply supported steel beam with a moment of inertia of 60 x 10^6 mm^4 of length 7 m has a…

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

Q: Determine the support reactions of the beam shown. Use Slope Deflection Method (Indeterminate Beams)…

A: Given:

Q: Determine the maximum deflection between the supports A and B. El is constant. Use method of…

Q: The trapezoidal loading is carried by the simply supported beam AB. The beam is a steel tube with…

Q: 6.5 kN M = 2 kN-m A B - 2 m 2 m 2 m Solve the given by using Double Integration Method. Assuming El…

Q: Problem IlI. Determine the support reactions at B and the location 900 N/m 300N of the maximum…

Q: Determine the moments at the supports. (MA and MD) using Slope Deflection method.

Q: The reaction at the roller support in kN.

Q: point

A: Consider only cantilever without prop

Q: 24kN/m 12kN/m Зт 5m 8m A simply supported beam is loaded as shown in the figure. Assume El is…

Q: SLOPE DEFLECTION METHOD A continuous beam ABCD is loaded as shown. Determine the value of the end…

Q: Q/ Using the method of consistent deformation, find support reaction of the frame shown; assume EI=…

A: Of Reactions at Supports using method of consistent deformation or force method of Analysis Hence…

Q: Use Slope Deflection Method

Q: Determine the deflection at point D

Q: 1. A simply supported beam is consisting of two segments, segment AB which is 5 m long while last…

A: The conjugate beam is an imaginary beam of a real beam. The slope of the real beam equal to shear…

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: A beam is loaded and supported as shown. (a) Use the double-integration method to determine the…

Q: 1. The simply supported beam shown carries a load that varies from zero at A to 48kN/m at B. Compute…

A: a) Slope at A = 7wl3360EI = 7×48×63360EI =201.6EI B) Slope…

Q: Determine the deflection at point D in mm.

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

100%

ER THE FOLLOWING:
1. A 5 m simply supported beam is loaded with a 10 kN-m concentrated moment placed 3.5m
from the left support. The flexural rigidity of the beam is El. If the distance x is measured
from the left support. Using double integration method
a. Determine the equation of the slope.
b. Determine the equation of the deflection curve.

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: Given data

VIEW

Step 2: The equations of slope and deflection curve

VIEW

Solution

VIEW

Step by step

Solved in 3 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

Determine the maximum deflection of the steel beam shown. The reactions have been computed. E = 200 GPa, I = 60(10^6)mm^4. Use AREA MOMENT METHOD
A beam is loaded and supported as shown. (a) Use the double-integration method to determine the reactions at supports A and B. (b) Draw the shear-force and bending-moment diagrams for the beam. (c) Determine the deflection in the middle of the span. Assume w = 11 kN, L = 7.4 m and El - 6.9 x 104 kN-m2 is constant for the beam. V. L.
SOLVE THE PROBLEM USING DOUBLE INTEGRATION METHOD Problem III. Determine the support reactions at B and the location of the maximum deflection for the beam with built-in ends. The 200 N load is 1.5 meter from B. A 2m+ 900 N/m 200N E B
3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 kN.m andL = 3 m. El is constant 2Mo
For Beam AB (EI Constant), use the Unit Load Method to Determine: 1. The Deflection at C 2. The Rotation at Support A. 6 kNim B
1. The 5-mm thick 300-mm wide rectangular tubular A36 steel beam carries the loading as shown. Using the double integration method, determine the beam height given that the maximum deflection of the beam is 1.5 mm. 10 KN 5 KN 4 KN/M V 3 2 1/1 2
4. Determine the deflection at A and C and the slope at B of the beam loaded as shown. Let g, = 25 kN/m and L = 4 m. El is constant 90 A L/2 C L/2 B/ RB
4. Determine the deflection at A and C and the slope at B of the beam loaded as shown. Let go = 25 kN/m and L = 4 m. El is constant 14 L/2 C L/2 B
A simply supported beam (E = 12 GPa) carries a uniformly distributed load g = 100 N/m, and a point load P = 150 N at mid-span. L/2 L/2 The beam has a rectangular cross section (b = 75 mm, h = 200 mm) and a length of 3.6 m. Calculate the maximum deflection (in mm) of the beam. (Enter the magnitude. Solve the problem by the method of superposition. All beams have constant flexural rigidity EI.) תרח
6.5 kN M = 2 kN-m A B 2 m 2 m 2 m Solve the given by using Double Integration Method. Assuming El is sonstant. -Determine the rotation at A -Determine the rotation at B -Caluculate the maximum deflection of the beam
Determine the deflection and slope at the x distance from support A of the beam. Take E=70 GPa and I=45.7x10-8 m4 for magnitudes of M0=7,7, x=1,5 and L=4,3.
Fill in the blanks only.