Problem 3. Determine the following unknowns on the beam shown below using Conjugate-Beam Method. Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized solution. Round-off your answers to two decimal places. a. Vertical Reaction at C in kN. a=4.5 b. Moment Reaction at C in kN-m. c. Deflection at point B in mm. d. Maximum deflection on the beam in mm b=30.0kN/m c=12KN

Problem 3. Determine the following unknowns on the beam shown below using Conjugate-Beam Method. Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized solution. Round-off your answers to two decimal places. a. Vertical Reaction at C in kN. a=4.5 b. Moment Reaction at C in kN-m. c. Deflection at point B in mm. d. Maximum deflection on the beam in mm b=30.0kN/m c=12KN

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: Example: The simply supported beam shown is subjected to the concentrated force P. Determine the…

A: Given: Simply supported beam with P load acting on it. Maximum deflection of the beam, ymax = ? EI =…

Q: A simply supported beam carries the load shown. Determine the maximum deflection. Use Conjugate Beam…

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

A: ∑Ma=0⇒Cy*6-9*3*1.5=0 ⇒Cy=6.75 KN∑Fy=0 ⇒Ay+Cy-9*3=0 ⇒Ay=20.25 KN

Q: Determine the slope and deflection at point A of the beam shown in figure below by conjugate beam…

A: Consider the free body diagram as; Consider the conjugate beam diagram for the given beam;

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

A: Using double integration method

Q: A beam is shown in the figure below, and the flexural stiffness of the beam section is constant El:…

A: As bot mention which method to used for finding deflection at point C . Let's solve using…

Q: A simple beam AB is subjected to a distributed load of intensity g(x) = sin -), where a, is the…

Q: PLEASE REFER TO THE GIVEN VALUES BELOW. For the beam loaded as shown in the figure, determine the…

A: Given data E = 200 GPA = 2 × 105 N/mm2 b×d = 300mm × 300 mm Moment of Inertia (I) I = bd3/12…

Q: Use the double integration method to deter beam. El is constant at E = 200 GPa, I= 4000

Q: or the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B…

Q: Part 2: By Super Position Consider the simple supported beam shown in the Fig. a. Determine the…

Q: 1. Draw the deflection diagram for the following figure 2. Use the double integration method to…

A: “Since you have asked solution with multiple method, we are solving with the double integration…

Q: 180 kN 15 kN/m B D -5 m- -5 m- -4 m- El = constant E = 70 GPa I = 2,340 (106) mmª %3D

Q: simply supported beam 10 m long carries a uniform load of 24 kN/m. Using E = 200 GPa, I = 240 x 10 6…

A: 62mm

Q: P B C A L. 3 2L 3 21 E = constant %3D

Q: Q4\ Use the Finite Difference Method to determine the deflections at the nodes of the simply…

Q: of How Walue of deflection at Points Card D by using doubl use EI=Snstant. loo KN

Q: Find the slope deflections using any unit load method in the text book. For the beam shown in figure…

A: Strain Energy: The energy which is stored in any object loaded within the elastic elements is known…

Q: 1OK 4' 1-5 Figure 4

Q: From the given figure shown: Use only area moment method: (A is pin and B is roller). El is…

Q: Using Maxwell's reciprocal theorem find deflection at point B far a beam shown below. P B C LI4 3LI4

Q: Y 2m M₁ = 5 KN-m 3m -X a.) For the beam and loading shown, determine the moment reaction at support…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: Given:- Given Data:EI = 136000 kips.ft2w0=4.6kips/ft, LAB=13ft, LBC=7ft

Q: Problem 3. Determine the following unknowns on the beam shown below using Conjugate-Beam Method.…

Q: Using the slope-deflection method, determine the end moments and the reactions at the supports of…

A: Given Data:E=200Gpa = 200×109N/m2=200×106kN/m2I=213×106mm4=213×10-6m4Suppoprt B settles by…

Q: The magnitude of the concentrated load to be applied at the free end B of a cantilever beam as shown…

A: AB is a cantilever beam, where B is free end. Now, concentrated load is applied on free end i.e, B

Q: Problem 3. Determine the follov owns on the beam shown below using Conjugate-Beam Method. Consider…

Q: Structural Theory 2

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: A uniform horizontal beam is simply supported at it's left end x=0 but fixed at the other end X=L as…

A: A propped cantibeam is given with hinged end support.

Q: Example: Detemine the slope at B, D and the deflection at A and C for the beam hown in Fig. below,…

Q: The reaction at the roller support in kN.

Q: A steel cantilever beam is of 1 m long, having a squa of 4 cm side length. The beam is fixed on one…

A: The given data is: Beam length, L=1 m Cross section=4 cm*4 cm E=210 GPa

Q: For

Q: The 16 x 22 x 25-mm rubber blocks shown are used in a double U shear mount to isolate the vibration…

Q: Using the slope-deflection method, determine the end moments and the reactions at the supports of…

A: from the given question it is required to calculate end moments and the reaction at supports of the…

Q: Thumbs-up

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

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

Q: CALCULATE THE DEFLECTION OF THE BEAM SHOWN BY THE DOUBLE INTEGRATION METHOD WITH THE SECTIONS AND…

Q: Using CONJUGATE BEAM METHOD, Consider 150 mm x 200 (b x h) mm section and E = 80 GPa. Enter the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the deflection at B of the beams shown below. EI is constant. Assume rocker at support D…

A: Given Simply supported beam with couple acting on it. It is asked to find the deflection at B. EI=…

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

Problem 3. Determine the following unknowns on the beam shown below using Conjugate-Beam Method.
Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized solution. Round-off
your answers to two decimal places.
a. Vertical Reaction at C in kN.
a=4.5
b. Moment Reaction at C in kN-m.
c. Deflection at point B in mm.
d. Maximum deflection on the beam in mm
b=30.0kN/m
c=12KN
c kN
b kN/m
A
"a" m
“a" 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

given data

VIEW

determining component beams

VIEW

drwaing BMD of component beams

VIEW

drawing conjugate beams

VIEW

determining reaction & moment at C

VIEW

determining deflection at B & max deflection

VIEW

Step by step

Solved in 6 steps with 6 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

Take ur time but please solve this Thank u
Answer 2a please
A IS AT THE FIXED SUPPORT point B is 6 meters from left support, point C is 9 meters from left support . D AT THE END
Hi. We are learning about theory of structures. Provide the complete solution. Thank you! ENERGY METHODS
Using Virtual work equation, determine the angle a° so that the deflection of the point C is in the same direction as the load P (Consider only EI the effects of bending due to the load P). Note: A direction of loading such that the resulting deflection is in the same L EI direction as the load is called a principal direction. For a given load on a planar structure, there are two principal directions, perpendicular to each other. L
2. By the moment-area method or conjugate-beam method, determine the deflection at the midspan (ElA) for the beam shown in figure below. All figures must be included and drawn straight. (Solve the deflection in terms of EI, these two values of E and I are not given in the problem.) P, P2 3.0m 1.0m 1.0m A 5.0m P1 P2 N N 964 664
Solve by slope deflection only
Determine the deflection at point C. Use double integration method.
reallyy reallyy in need asap
Determine the following unknowns on the beam shown below using Conjugate-Beam Method. Consider 250 mm x250 mm section and E = 200 GPa. Show complete and organized solution. a. Vertical Reaction at C in kN. b. Moment Reaction at C in kN-m. c. Deflection at point B in mm. d. Maximum deflection on the beam in mm Given: a- 4m b- 24kN/m c- 9kN
2. By using Double Integration Method, Determine the deflection at the free end of the beam shown 180 kN 15 kN/m B -5 m- -5 m- -4 m- El = constant E = 70 GPa I = 2,340 (106) mm4
Determine the deflection at point C of the beam shown using Castigliano's Theorem. (You can verify using other methods in your solution sheet, but Castigliano's Theorem Method solution is required). Answer in positive value only 100 kN 300 kN-m B. 6 m 3 m 21 E = constant = 70 GPa I = 500 (10) mm