For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is E = 200 GPa. The cantilever beam has a circular cross section with the second moment of area / = 30 x 10-6 m4. The beam is under a uniformly distributed load q=14 kN/m at the AB span and a point force P=35 kN at Point C. The length of AB span is L=4 m and the length of BC span is L₁ =1.6 m. (In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the positive direction of a horizontal force points to the right; and (3) the postive direction of an applied moment is clockwise .) L АД Boo L₁ р C

For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is E = 200 GPa. The cantilever beam has a circular cross section with the second moment of area / = 30 x 10-6 m4. The beam is under a uniformly distributed load q=14 kN/m at the AB span and a point force P=35 kN at Point C. The length of AB span is L=4 m and the length of BC span is L₁ =1.6 m. (In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the positive direction of a horizontal force points to the right; and (3) the postive direction of an applied moment is clockwise .) L АД Boo L₁ р 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: 2-Determine the slope and deflection at point B of the beam shown by the direct integration method

A: The force of shear is a sensitive force on the surface. It's said to be the bending moment the…

Q: From the beam shown, determine the deflection at D using virtual work method . Show your complete…

Q: Problem 2: Using any method, find the ff. when E and I 100 GPa 100x10^6 mm^4 Location and magnitude…

Q: find the deflection and rotation in degrees midspan. EI is constant. USE VIRTUAL WORK METHOD.

Q: Q2) Find the vertical detlection at D and rotation at B in terms of El by the unit-load method for…

A: In the virtual load or unit load method, a unit load is applied on the point where deflection and…

Q: Use virtual work method to determine the smallest moment of inertia I required for the members of…

Q: a a= 1.56 m b=2.56m OT P= 101 KN E 21000 MPa I = 2583 x 10 mm Compate the deflection in mm at 2,87m…

Q: (a) Compute the horizontal deflection at D and the vertical deflection at F by the virtual work…

Q: 40kN 3.00m 4.00m

Q: Determine the deflection at point C of the beam shown using the Virtual Work Method. (You can verify…

Q: The beam shown has a rectangular cross section of 150mm x 200mm and is made of a material with a…

Q: Use the virtual work method to determine the slope and deflection at point B of the beam shown

A: In the virtual work method to determine the slope and deflection at a point, we have to introduce…

Q: Answer the question What will be the deflection at Cfor the beam shown? P A B C - 1,1 ta a, I

Q: Use the virtual work method to determine the slope and deflection at point D of the beam shown. -15…

A: Given data E = 10,000 ksi I = 2500 in4 Find slope and deflection at point D using virtual load…

Q: 3/4 t

A: Method of superposition is the method by which we can find the slope and deflection at any…

Q: Use the principle of virtual work to determine the vertical deflections of point A

Q: 1. Using the conjugate beam method, determine the slope and deflection at point B of the beam ABC…

Q: 2. How far is the centroid of the cross section above its bottom edge? What is the area moment of…

A: The centroid is the center point of the built up cross section when all the axis in the object pass…

Q: For the beam shown, determine the deflection at D using the virtual work method. Please be clear…

Q: For the beam shown, determine the deflection at D using Castigliano’s second theorem. Please be…

Q: Calculate the deflection at B in terms of El. Express your answer in two decimal places and do not…

A: Using Macualay's method Considering EI is in KN/m2

Q: Determine the vertical deflection at point C for the beam (EI=Constant) using the method of virtual…

A: Reactions: RB+RD=12+6×5=42 KNand ∑MD=0-12×12+RB×9-6×5×2.2=0RB=24.33 KNand RD=17.67 KN…

Q: Determine the deflection at point B for the beam shown using the direct integration method. -6 ft-…

Q: Determine

Q: 200KN TookN 5m 10m 2I E> CONSTANT =250 GPa I> GO0(10°) mm4 %3D

Q: For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical…

Q: 3) Compute the vertical and horizontal deflections of B by the virtual work method. Given E=200GPa…

Q: Use the conjugate-beam method to determine the slope and deflection at point D of the beam shown.

Q: The maximum deflection for the cantilever-beam below is no more than 0.03m.Macaulay’s method of…

A: Your sketch is clear and readable! Let's go through the problem step by step using Macaulay's method…

Q: Determine the location of the centroid C (x, y) of the beam's cross-sectional area and then compute…

Q: The bar shown below is inclined at 45 degrees with the horizontal and at equilibrium. The force at C…

A: Given data Member inclined at 45° with horizontal Find reaction at E.

Q: Determine the value of the deflection at A in mm. Answer in 2 decimals 20 KN/m 20KN E = 200,000 MPa…

Q: For the simple beam shown, use the virtual work method to find (a) the location and value of the…

A: using Virtual work method## Calculation of location and value of maxm Rotation and maxm Deflection…

Q: Calculate the deflection at the left of the midpoint using the conjugate beam method. Мо L, EI L, EI…

Q: Find the deflection at point D using a virtual method.

A: Given Data Find the deflection of point D using virtual load method.

Q: Determine the smallest cross-sectional area A required for the members of the truss hown, so that…

A: As per guidelines we need to answer only first question so please repost rest questions separately.

Q: The maximum deflection for the cantilever-beam below is no more than 0.03m.Macaulay’s method of…

A: Given:Cantilever beam with a length of 4 m.A point load of 50 kN at point C, 1 m from the fixed end…

Q: Use the method of virtual work to find the vertical deflection of the steel truss at joint A (in…

A: E = 10,000 ksi = 10,000 × 103 lb/in2 A = 4 in.2 Determine the vertical deflection at joint-A using…

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

I need help solving parts a and b on this question:

a) is in the attached picture

b) Use the principle of virtual work to determine the vertical deflection at Point C. (The positive direction of a vertical deflection points upwards) _______ mm

For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical
deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's
modulus of the material is E = 200 GPa. The cantilever beam has a circular cross section
with the second moment of area / = 30 x 10-6 m4. The beam is under a uniformly
distributed load q=14 kN/m at the AB span and a point force P=35 kN at Point C. The
length of AB span is L=4 m and the length of BC span is L₁ =1.6 m.
(In this question, we assume (1) the positive direction of a vertical force points upwards;
(2) the positive direction of a horizontal force points to the right; and (3) the postive
direction of an applied moment is clockwise .)
L
АД
Boo
L₁
р
C

The bending moment caused by the real forces as a function of x can be discribed as
For 4 < x≤ (4+1.6 ) m, ( please use units kN.m for bending moment)
(Use * for multiplication and ^ for exponentiation. For exmple, 2x + x² can be written
as 2*x+x^2)

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 3 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

▪ Derive the following equation of maximum deflection using double integration method. 15. W R₂ W T. 8 max WL³ 3 192EI
Calculate the deflection at C in terms of El. Express your answer in two decimal places and do not indicate sign convention. A 15 kN 2 m B 15 KN 2 m B 25 KN 2 m 25 KN 2 m C 3 m 3 m 35 kN 35 KN 5m 5 m 45 KN 45 KN E 2m 2m F F
Solve this problem using a.) Virtual Work Method b.) Moment Area method . provide readable complete solution Determine the deflection at point B of the beam shown in the figure. Values for the moment of inertia of each segment are indicated in the figure. Take E = 200 GPa
please solve with all steps
Solid mechanics
Please answer part a,b
I need help on this question: a) Use the principle of virtual work to determine the rotation at Support B. (The postive direction of a rotation is clockwise. Present the result to 4 decimal places) _______ Radian
please answer asap I will rare u +ve
Give me right solution according to the question
4. A given beam, of L=5m and EI=6000KN.m, is subjected to a linearly distributed load. Its deflection is measured at different distances from the left end and listed as below: 2 3 41.28 68.46 71.04 45.72 Distance, x, (m) 4 5 Deflection, y, (mm) Determine, as accurate as possible, the intensity (value) of the distributed load at both ends.
show all work please
Determine The Horizontal Deflection At Point D. Use The Virtual Work Method. E = 70 GPa, Ainternal = 2000 Mm, Aexternal = 2400 Mm . Distances Are In Meters. Show Complete Solutions. a) What is the Horizontal Reaction at A? b) What is the Vertical Reaction at A? c) What is the Vertical Reaction at H? ed What is the Horizontal Deflection at D?