A load of 500 kN applied at point A, as shown infigure below, produces a vertical deflection at Band C of the beam as AB = 10 mm and Ac = 15mm, respectively.500 kNEI↓2 EIBA3L/4L/4What is the deflection at A when loads of 100 kNand 300 kN are applies at B and C, respectively?C

given- load P=500 kNdeflections-∆B=10 mm and ∆C=15 mmCase-2Load=100 kN and 300 kN at B & C

A load of 500 kN applied at point A, as shown in figure below, produces a vertical deflection at B and C of the beam as Ağ = 10 mm and Ac = 15 mm, respectively. 500 kN EI 2 EI B A 3L/4 L/4 What is the deflection at A when loads of 100 kN and 300 kN are applies at B and C, respectively? + C

A load of 500 kN applied at point A, as shown in figure below, produces a vertical deflection at B and C of the beam as Ağ = 10 mm and Ac = 15 mm, respectively. 500 kN EI 2 EI B A 3L/4 L/4 What is the deflection at A when loads of 100 kN and 300 kN are applies at B and C, respectively? + C

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 a couple end-loaded, simply-supported beam (shown below), determine the maximum deflection.…

A: ###Determination of maximum deflection and Location of maximum deflection ##

Q: -span eam loaded as in figure below. as E 10 GPa andI = 4.5 x 10 mm*. 300 N/m

A: Solution:

Q: A simply supported beam, 6m in length, has an initial deflection of 0.50mm at midspan due to its own…

Q: 10 kN/m Beam flexural rigidity Column lexural rigidity Assume A will ocur 2EI C4 D4 10 kN/m B3 20…

A: Beam deflection is the distance between the beam's position before and after loading, measured at…

Q: X kN/m A 5 m 5 m Figure 2: Simply supported beam A 10 meter simply supported beam made of A-36 steel…

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

Q: A simply supported beam with length l is loaded with a uniformly distributed load w. What is the…

A: A simply supported beam is the beam that stays on two supports and is free to move horizontally. It…

Q: ce produced in each rod. vertical deflection of the VP D (2)

Q: A simply supported beam, 6m in length, has an initial deflection of 0.50mm at midspan due to its own…

A: For a simply supported beam having UDL maximum deflection at center is given as ∆=5 wL4384 EI where…

Q: A simply supported beam, 6m in length, has an initial deflection of 0.50mm at midspan due to its own…

A: Given That L= 6m Δmax=0.5mm =0.0005m Let us assume the own weight is "w" kN/m E = 24870MPa I =…

Q: A simply-supported beam, 9 m in length, is subjected to a uniform load of 20 kN/m applied at the…

Q: A simply supported beam has a span of 12 m. The beam carries a total uniformly distributed load of…

A: Given, Uniformly distributed load, w = 21.5 kN/m = 21.5 N/mm Length of the beam, L = 12 m = 12000…

Q: Derive an expression for the maximum value of deflection for the simlply supported beam.

Q: For the loaded beam shown, using moment - area method. a. Determine the value of El6 at mid span and…

Q: please help us in this particular problem thank you

Q: From the given figure below, determine the maximum deflection and slope of the beam and calculate…

A: Support reaction R=20+202=20 KNmaximum bending moment M=20×2=40 KN

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

Q: w = N/m wL 764EI Omax at x = 0.475L

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

Q: 5 kN 10 kN/m 5 kN/m 80 mm 3 m 120 2 m mm Figure Q5 5. A cantilever beam is loaded such as shown in…

A: A structure is a body or a set of interconnected elements that supports a load. An engineer must…

Q: A simply supported beam is loaded by a couple M at its right end. Find the M location of the maximum…

Q: From the given beam loaded as shown, Let P = 3 kN, L = 7 m, E = 200GPA, I = 2000 x 10^6mm^4 1.…

A: As per company's guidelines we can only answer first three questions. Kindly post other questions as…

Q: A beam with length L is FIXED at both ends. It is loaded with a concentrated force P at L/3 trom the…

Q: m. Take Ec = 20,000 MPa, Ie = 3000x10^9mm^4 b) What is the value of deflection at free end (DL+LL)?

Q: . For the beam loaded as shown in the figure below, determine the following unknowns using any…

Q: Q1/ Using the method of Integration, find the moment equation for the beam shown in figure 1. If (E…

A: Fixed end moment at the point A - MA = 11×54×3×54 + L42⇒MA = 60.156 KN-m Force in the vertical…

Q: The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200…

A: The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200…

Q: Problem 3) For the beam shown in Figure 3C, using the moment area theorems determine: a) The slope…

Q: A 10 m long beam has a 3 kN point load applied to the cantilever steel beam. The load is applied 4 m…

Q: By Unit Load method (Virtual Work method), determine the maximum deflection at midspan. E and I are…

Q: A cantilever beam, having a length of 7.0 m, carries a uniformly distributed dead load of 10 kN/m,…

Q: 15 KN 1.10 kN/m B 2EI El 2 m 2m 2m

A: The given information in the question is We have to calculate the Slope at A Slope at B…

Q: Question 1 A cantilever beam with P1=78 kN, P2-61 kN and w=23 kN/m has the loadings shown. Calculate…

Q: Q1/For a simple beam loaded as shown in Figure 1. Determine the slope and deflection at the position…

A: E = 2 × 105 N/mm2 I = 5 × 108 mm4 Determine the slope and deflection at midway of the beam. Let's…

Q: Consider the beam and loading with M= 12 kN/m shown in the figure. Vertex M A Parabola 8 m- B…

Q: If the midspan deflection is 50mm, and the load P = 15KN, determine the maximum length L of the beam…

Q: Determine the Vertical Deflection at A using Conjugate Beam Method. Indicate the negative sign if…

Q: 6A beam is supported at A and B as shown in Figure Q6. Determine the equation for elastic curve and…

A: Given The loading is shown in figure . Beam is hinge supported at A and roller support at b .…

Q: 3. A steel beam is loaded as shown in the figure. Use conjugate beam method and determine the…

A: A Conjugate beam is an imaginary beam with and same geometrical properties as the real beam. The…

Q: The cantilever beam shown having a property of E= 200 gPa and I = 125 x 106 mm4. Determine the…

Q: 1. A beam is loaded as show in the figure. Using Moment-Area Method determine the following: a.…

A: EI = 10 x 103 x 30 x 106 = 3 x 1011 Nmm2

Q: A simply supported beam, 6m in length, has an initial deflection of 0.50mm at midspan due to its own…

A: Given That L=6m =6000mm E=24870 MPa I=5400×106mm4 EI =24870×5400×106=1.34298×1014N-mm2EI=134298…

Question

A load of 500 kN applied at point A, as shown in
figure below, produces a vertical deflection at B
and C of the beam as AB = 10 mm and Ac = 15
mm, respectively.
500 kN
EI
↓
2 EI
B
A
3L/4
L/4
What is the deflection at A when loads of 100 kN
and 300 kN are applies at B and C, respectively?
C

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

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 beam in Figure below. a- Compute the immediate deflection due to total load. b- Estimate the long-term deflection assume 30 % of live load as sustained. fc' = 28 MPa, fy= 400 MPa. D.L 10 kN/m www L.L 30 kN/m D.L= L.L= 2.5 m 700 mm ho bo bw bo 350 mm L www 200 mm 4025 ho 250 mm -bw - d 620 mm
number 14
From the given beam loaded as shown, Let P = 3 kN, L = 7 m, a = 3 m. E = 200GPA, I = 2000 x 10^6mm^4 1. Determine the following: P kN/m В C A L 2 a. Equation of the slope b. Equation of the deflection curve c. Position of the maximum deflection at segment AB from point A d. Maximum deflection.
Problem (8.3): Derive the equation of the deflection curve for a simple beam AB loaded by a couple Mo at the left-hand support (see Figure 8.23). Also, determine the maximum deflection 8max. Mo B L
Determine the location and magnitude of the maximum absolute deflection in AB between A and the center of the beam. (b) Assuming that beam AB is a W460 *113 rolled shape, M0 = 224 kN·m, and E = 200 GPa, determine the maximum allowable length L so that the maximum deflection does not exceed 1.2 mm.
A cantilever beam AB as shown in figure is subjected to a point load of 12 kN over a span of 6 m with E = 2 × 105 N/mm² and 1x = 6 x 107 mm4. The deflection at the free end will be W A 1 B
A beam with length L is fixed at both ends. It is loaded with a concentrated force P at L/3 from the first support. Draw the loading diagram. If the beam has a length of 10 m, cross section of 200x200mm, and force P is 10 kN, what is the deflection at midspan (in mm)?
22222. From the given beam loaded as shown, Let P = 3 kN, L = 7 m, a = 3 m. E = 200GPa, I = 2000 x 10^6mm^4
Engineering analysis
For the beam shown, solve for the deflection (in mm.) at B. Use the following data: W = 2.3 kN/m L= 5 meters E = 357 GPa |= 305 x 10^6 mm^4 ROUND OFF TO THREE DECIMAL PLACES. INPUT THE VALUE ONLY W kN/m A В L m.
2. An u.dl of 20 kN/m is acting on cantilever beam of length 3.0 m calculate the slope and deflection of beam at free end. E-2 10 N/mm².