Suppose we have a uniform beam that is 4.46 metres long has a flexural rigidity of 25079Nm².Find the deflection of the beam in millimetres if the beam is under a load of f(x) = 7.00(x + 3.3252) (5.02-– x).answers.Nand is supported with simple supports at both ends. Fill out the table below with yourx-coordinatex = 0.54x = 1.07x 2.19=mDeflection (mm)y(x) = Skippedy(x) = Skippedy(x) = Skippedx = 3.34y(x) = Skippedx = 4.19y(x) = SkippedEnter as many decimal places as your calculator allows (8 to 10). Your answer must be within +0.0005 of the correct answer to be considered correct.

Answered: Image /qna-images/answer/119638e5-a649-44d1-9178-4f9108037374.jpg

Suppose we have a uniform beam that is 4.46 metres long has flexural rigidity of 25079Nm². N Find the deflection of the beam in millimetres if the beam is under a load of f(x) = 7.00(x +3.3252) (5.02 - x) and is supported with simple supports at both ends. Fill out the table below with your m answers. Deflection (mm) y(x) = Skipped x-coordinate x=0.54 x = 1.07 x=2.19 y(x) = Skipped Skipped y(x) = x = 3.34 y(x) = Skipped x=4.19 y(x) = Skipped Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within +0.0005 of the correct answer to be considered correct.

Suppose we have a uniform beam that is 4.46 metres long has flexural rigidity of 25079Nm². N Find the deflection of the beam in millimetres if the beam is under a load of f(x) = 7.00(x +3.3252) (5.02 - x) and is supported with simple supports at both ends. Fill out the table below with your m answers. Deflection (mm) y(x) = Skipped x-coordinate x=0.54 x = 1.07 x=2.19 y(x) = Skipped Skipped y(x) = x = 3.34 y(x) = Skipped x=4.19 y(x) = Skipped Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within +0.0005 of the correct answer to be considered correct.

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: Question 2 Determine the moment of inertia of the area about the x axis as shown in Figure Q2.…

A: Given,to determine,Moment of inertia about the x-axis(a) having a thickness of dx(b) having a…

Q: Q.9 The degree of kinematic indeterminacy of frame shown in the figure ignoring the axial…

Q: A -3 m B -3 m IC + -3 m- 60 kN m

Q: er a simply supported beam of length / subjected to a 1/ y(x) = P x ≤ 1/2, the deflection is given…

Q: 10 kips 3 kips/ft D B. 3 ft 4 ft 3 ft

Q: The beam shown in Figure Q.2 consists of a W610 × 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: A propped cantilever beam is loaded by a bending moment of the magnitude M, at the point B as shown…

Q: A 4-meter cantilever beam supports a uniformly distributed load of w=25 kN/m at half of its span;…

A: Determinea. Deflection at the free end in terms of E. b. Slope at the free end in terms of E.

Q: F1.5 m→–1.5 m→- 2.1 m A В D Pj = 400 kN 2.4 m P2 = 360 kN %3D F 0.6 m E

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

Q: -2 m -4 m- C 4 m

Q: Problem 2 Consider the beam of length L and cross-sectional moment of inertia I shown in the figure…

A: Given data:

Q: ows an elastic be igidity EI and deflection v(x) d by an equation

Q: A steel beam, of lengths a= 6 m and b = 3 m and a hollow box cross section, is supported by a hinge…

A: The intensity of q starts from zero to 3.1 KN/mThe distance 'a' is 6m. The distance 'b' is 3m.

Q: A simply supported beam with P1=52kN, P2=60 kN and w=20kN/m has the loadings shown. If the value of…

A: Answer We can calculate the deflection at point C using the Double integration method EId2ydx2=M M…

Q: A non-prismatic rod is attached between two supports as shown in figure. It is subjected to axial…

A: For a non prismatic rod Axial load applied is 80 kN and 100 kN as shown in figureTo determine…

Q: Thumbs-up

Q: Using the energy method, determine the vertical deflection of point D in the cantilever beam under…

A: To determine deflection at 'D', fictitious load of P is applied at D as shown in figure.

Q: 4. The truss shown in figure Q4.1 is constructed out of square steel bars, all of which are of 25mm…

A: Given values: Area of members, A = 25 mm * 25 mm = 625 mm2 Young's modulus, E = 200 * 103 MPa Using…

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the…

A: Given E=70GPa A=100 mm2 To Find Vertical displacement at A and E

Q: There is a beam AD subjected to two concentrated forces, as shown in the figure below, the Young's…

A: To find Slope at A and deflection at B?

Q: Consider the 10m long W 760x257 beam from problem 2, fixed at both ends. Determine the maximum…

A: Given values, Length L = 10 m; W 760 * 257 beam; Self weight = q KN/m

Q: A truss (Truss) is subjected to force as shown in the figure below. Try to calculate the vertical…

A: A=200mm2 E=200GPa To find vertical displacement at point C

Q: A symmetrical beam of length I has a cantilever support at the left hand end x = 0 and a pin support…

Q: Problem #1: All the vertical bars are constructed from steel (E = 29,000 ksi and a = 6.5 x 10° 1/ºF)…

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

Suppose we have a uniform beam that is 4.46 metres long has a flexural rigidity of 25079Nm².
Find the deflection of the beam in millimetres if the beam is under a load of f(x) = 7.00(x + 3.3252) (5.02
-
– x).
answers.
N
and is supported with simple supports at both ends. Fill out the table below with your
x-coordinate
x = 0.54
x = 1.07
x 2.19
=
m
Deflection (mm)
y(x) = Skipped
y(x) = Skipped
y(x) = Skipped
x = 3.34
y(x) = Skipped
x = 4.19
y(x) = Skipped
Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within +0.0005 of the correct answer to be considered correct.

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 first find the deflection equation

VIEW

Step 2 final answers

VIEW

Step by step

Solved in 2 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

2. P Derive an equation that describes the vertical deflection of the beam, y(x), and also B calculate the maximum deflection of the beam. M = 0.5PL %3D
Can you help with this question? Thank you!
3. For a two-dimensional truss structure as shown in the figure, determine displacements of the nodes and normal stresses developed in the members using the direct stiffness method. Use E = 30×106 N/cm² and the diameter of the circular cross-section is 0.25 cm. 4. Pin joint 9 cm ☑ 12 cm 60 N Roller support
Here is the follow up,
A beam cross section is shown. The dimensions are d = 7.6 in. and t = 0.40 in. The centroid of the cross section is located e = 3.782 in. above the bottom edge of the shape and f = 1.818 in. below the top edge. Calculate the moment of inertial for this cross section. Answer: N d y # in.4
Thumbs-up will be given. Solve in 4 decimal places. Box the final answer. Using the Castigliano's Theorem, Calculate the total deflection at joint G. Consider uniform cross sectional area A= 500mm² and modulus of elasticity E for all members is 200 GPa. Let P = 153 kN and 2P = 153(2) = 306 kN
2. A uniform, simply supported beam, is loaded as shown in Figure 2. Using singularity functions, determine an expression for the bending moment at any point along the beam. Hence, determine the slope of the beam at point, A, and the deflection of the beam at point, B. The bending stiffness of the beam is 3200 Nm². 320 N 200 N/m 1.2m 0.6m Figure 2 2 A 0.4m X * B D
Hw1: For the simply supported beam shown in Figure, determine the maximum deflection due to the applied load. The flexural rigidity of the beam is El= 7x106 kip.in². V₁ = 20 kips a = 12 ft 1 = 18 ft Answer: ymax = -0.129 ft downward W = 60 kips b = 6 ft 2 V₂ = 40 kips
The truss structure shown contains 15 pin-connected elements each with a cross-sectional area of 200 mm² and a modulus of elasticity of 210 GPa. Determine the vertical deflection of point H using Castigliano's method. D 3 m E 3 m 3 m F 3 m B H 3 m 8 kN A
1)
A beam supported by three identical springs at points A,B,C (see figure). Given that flexural of rigidity of the beam, EI= 2.029X1011 N.mm2 ; spring constant,k = 1471.5N/mm, w=116N/mm All dimensions are in mm. 1. What is the reaction for at point A,B and C? 2. What is the deflection at point B? 3. Please draw shear-force and bending moment diagram.
A simply supported beam is subject to a downwards uniform distributed load, w, as shown below. B A uniform distributed load, w L1 L2 The cross-section of the beam is constant with second moment of area I = 3750 mm², and Young's elastic modulus is E = 200 GPa. The distributed load has magnitude w = 220 N/m. If Point B is distance L₁ (Point C), calculate: the downwards vertical deflection at Point B: C C 435 mm from the left end (Point A) and distance L2 = 385 mm from the right end Round your answer to 3 significant figures. X [Units: mm]