**Problem 7.46****Objective:**Use the virtual work method to determine the horizontal deflection at joint C of the frame shown.**Description:**The frame consists of three members. Member AB extends vertically 10 ft from the ground to the top of member BC. Member BC is a horizontal beam spanning 30 ft and carries a uniform distributed load of 2 kips/ft. Member CD is a vertical column extending 15 ft from the top of the beam to the ground.**Material Properties:**- The modulus of elasticity, \( E = 29,000 \) ksi.- The moment of inertia, \( I = 1,500 \) in\(^4\).**Conditions:**- The frame has fixed supports at points A and D.- All members are rigidly connected.**Diagram Explanation:**- The frame structure is depicted with three key points: A, B, C, and D.- The length of AB is 10 ft, BC is 30 ft, and CD is 15 ft.- The beam BC is subjected to a uniformly distributed load (UDL) of 2 kips/ft.- The supports at A and D are fixed, indicating no rotation or translation at those joints.

Answered: Image /qna-images/answer/55de9278-fc98-4d47-bb30-34f6639c0d01.jpg

Answered: 2 k/ft Problem 7.46 Use the virtual…

2 k/ft Problem 7.46 Use the virtual work method to determine the horizontal deflection B at joint C of the frame shown. 10 ft 15 ft 30 ft El = constant E = 29,000 ksi 1 = 1.500 in.

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: Problem . answer the questions. El = constant: Castigliano's Theorem: For the given frame, 600 lb BA…

Q: 6 k-ft A B – + 12 ft 6 ft

A: Given that....

Q: Determine the smallest cross-sectional area A required for the members of

Q: Q3/ For the beam show in fig. Determine the vertical deflection at point D, using virtual work…

A: Consider the free body diagram as; Calculate the reactions as; RA=RE=1502RA=RE=75 kN Moment…

Q: Calculate the slope and deflection at Point B Using A) Area Moment theorems B) Conjugate Beam…

Q: 4. (a)Find the slope and deflection at A in the Figure. (b) Determine the location and the magnitude…

Q: : El is constant. 3 kips/ft I

Q: sing the method of virtual work, together with the principle of relative displacements to find the…

Q: 50 k C B -9 ft- -9 ft- -18 ft- El = constant E = 29,000 ksi I = 4,000 in.+

Q: Solve for the slopes, 0B and Oc and deflections AB and Ac of the beam as shown below if E = 29000…

A: Given: A cantilever beam Required : Slope and deflection at B and C.

Q: Determine the Deflection at the midspan of AB. Use Area Moment Method or Conjugate Beam Method

A: We have to determine the value of deflection at the midspan of AB use the area moment method or…

Q: Workout 2. Use the area-moment method to determine the slope and deflection at point B of the beam…

A: Given data Find slope and deflection at B using Area-moment method.

Q: Use Slope-Deflection Method to solve for the unknowns on the 120mm x 120mm beam shown in the figure.…

Q: From the beam shown below, find the slope and deflection of points B and C. Use Moment-Area Theorem.…

A: The total length of the beam = 10m It is loaded with a point load of 30Kn, udl of 15Kn/m and uvl of…

Q: Given the beam loaded as shown, solve for the slope and deflection at point D using Virtual Work…

Q: Determine the deflection at point B and D of the beam. 2.5 k/ft Hinge 35 k A B -8 ft 8 ft- -16 ft-…

A: The displacement of a beam or node from its initial location is referred to as deflection in…

Q: 2. Determine the deflection at C of the beam given. If E = 220 GPa and I = 250 × 10° mm“. 5kNm LB 3…

Q: Calculate the slope and the deflection of the beam at A using the Conjugate Beam Method. Assume a…

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

Q: raw the shear and bending moment diagram and determine the slope and de the beam shown by the direct…

Q: Problem #4 For the cantilever beam shown in figure. What value of P in newton that will cause 10mm…

A: Modulus of elasticity(E)=200 Gpa=200 x 106 N/m2, Moment of inertia: I=3,200,257 mm4=3.200257 x 10-6…

Q: Find the slope and deflection at B and E of the beam and loadings shown using area-moment method.…

A: Given Data: The outer diameter of the tubular is 500 mm. The inner diameter of the tubular is 200…

Q: Using Area-Moment method: Solve for the deflection and slope at the free end of the beam if El is…

A: Given:Required :Slope and deflection at free end

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

Q: 6. Using moment area method, determine the position and magnitude of maximum deflection of beam…

Q: Determine the slope and deflection at point B of the beam shoun by double integrati- and orca moment…

Q: 12 kip / ft A В 2 EI 16 ft

Q: For the beam loaded as shown, determine the beam deflection at point C. Assume that E = 25500 ksi…

A: Intensity of UDL (w) = 3.2 kips/ft Intensity of point load (P) = 36 kips Young's modulus of…

Q: Find the slope and deflection at B and E of the beam and loadings shown using area-moment method…

A: Given: Required: Slope and deflection at B and E

Q: Using Virtual Work Method, solve for the deflection. Determine the deflection at point B given the…

Q: 1. Draw the shear and bending moment diagram and determine the slope and deflection at point B of…

Q: Determine the deflection at C using Area Moment Method. Use E = 200 GPa and = 180 x 106 mm4. %3D 500…

A: Step 1

Q: 2 k/ft -15 t- +6ft El = constant E= 29,000 ksi I-3,500 in.

A: Given data We have to determine the maximum deflection using Moment-Area Method

Q: 5 m El = constant 90 kN B

Q: 60 KN D E 15 KN 4 m 3 m B 3 m A 20 KN

A: Using Virtual Work Method, determine the horizontal deflection at joint E

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

A: The given figure is shown below:

Q: 1. Using either formula, double integration method, or area moment method, determine the maximum…

A: Given E=200GPaI=6×106 mm4 To find Maximum deflection of beam

Q: 7. Use the virtual work method to determine the vertical deflection at point C and the rotation at…

Q: 2 k/ft -30 ft- EI= = constant P 20.000 ksi B

Q: 5m 180 KN -5m 15 kN/m 4m

Q: Using the Moment Area method, determine the deflection at the right side of t the cantilever beam…

A: P = 60,000lb = 60Klb uniform load between C to D = W Klb/feet E = 29,000ksi I = 4000 in4

Q: 1p kN/m 20 kN 3m- 8 kN- D 6 m 4.

Q: Determine the slope and deflection at C using the conjugate beam method. Show shear and bending…

Q: 2. Use the moment-area method to determine the slopes at ends A and D and the deflection at midspan…

A: Given data:

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 7.46**

**Objective:**
Use the virtual work method to determine the horizontal deflection at joint C of the frame shown.

**Description:**
The frame consists of three members. Member AB extends vertically 10 ft from the ground to the top of member BC. Member BC is a horizontal beam spanning 30 ft and carries a uniform distributed load of 2 kips/ft. Member CD is a vertical column extending 15 ft from the top of the beam to the ground.

**Material Properties:**
- The modulus of elasticity, \( E = 29,000 \) ksi.
- The moment of inertia, \( I = 1,500 \) in\(^4\).

**Conditions:**
- The frame has fixed supports at points A and D.
- All members are rigidly connected.

**Diagram Explanation:**
- The frame structure is depicted with three key points: A, B, C, and D.
- The length of AB is 10 ft, BC is 30 ft, and CD is 15 ft.
- The beam BC is subjected to a uniformly distributed load (UDL) of 2 kips/ft.
- The supports at A and D are fixed, indicating no rotation or translation at those joints.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

Use the conjugate-beam method to determine the slope and deflection at point B of the beams.
-Use Slope-Deflection Method to solve for the unknowns on the 120mm x 120mm beam shown in the figure. E=200 GPa. a. Rotation at joint B in degrees. b. Moment at A in kN-m c. Rotation at joint A in degrees
Moment Area Method Using the moment area method, determine the deflection y C at point C. EI = constant for the whole beam.
please. Solver it by Using VIRTUAL WORK METHOD.
Determine the vertical deflection of joint D produced by the 30-kip load as shown in the figure below. Use Virtual work method.
By showing complete solution and explanation determine the slope and deflection at point B of the beam shown by the Area-moment method.
7
Problem 2 Determine the location and value of the maximum deflection in the beam using the Area-Moment Method. Use EI = 100,000 kN-m² and B as the reference section. 40 kN 60 kN-m 3 m A В
Virtual work
Compute the slope at point A and deflection at point C of the beam in the previous problem using moment-area method or conjugate beam method. If L = 6 ft, w = 1.5 k/ft, I = 76.8 in4 , and E = 29,000 ksi.
Determine the slope and deflection at B by the conjugate method.