Prob 01: Use method of virtual work and determine A. The displacement of point C of the beam made from steel. B. Slope at A of the beam made from steel. E = 29000 ksi, I 240 inº 10 k 12 k D -5 ft+ 5 ft+ -5 ft+5 ft-

Prob 01: Use method of virtual work and determine A. The displacement of point C of the beam made from steel. B. Slope at A of the beam made from steel. E = 29000 ksi, I 240 inº 10 k 12 k D -5 ft+ 5 ft+ -5 ft+5 ft-

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: Determine the vertical deflection at point Cusing Castigliano's Theorem. Take: P = 150 kN L= 10 m…

A: Introduction- Castigliano's theorem - It asserts that if the stored strain energy U is written as a…

Q: Determine the horizontal Displacement at C. Use Virtual work method 8K 5 ft 5 ft. B 5 K I= 900 in 12…

A: Let's E = 29000ksi

Q: Determine the value of P (in kN) so that the resultant, R is projected horizontally to the left. 300…

A: Given a system of forces as shown in the figure Required: To determine value of P so that Resultant…

Q: Problem # 2 Determine the slope and the displacement at C. Use the method of virtual work. 100 kN…

A: Considering the section BC: Mxx=-300 0<x<3m And section AB: Mxx=-300-100(x-3) 3<x<9m

Q: 10 Kips 10 Kips.ft A C D E.

Q: Use moment-area method and determine the slope at A and C and displacement at B. E = 200 GPa, I = 70…

A: SLOPE AT A AND C . DEFLECTION AT B

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: Calculate the plastic moment (kN-m) of the cross-section about the horizontal axis. F, = 248 MPa.…

A: Given data Fy = 248 MPa

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

Q: Determine the displacement of point C and the slope at point B. EI is constant. Use the principle of…

A: In this theorem which used to calculate the deflection and slope of the beam by using the internal…

Q: Find the slope and deflection equations for the beam shown. Determine the vertical deflection of…

Q: Determine the slope and displacement at A.E = 29X10^6 psi, I=1800 in^4 using a) moment area…

A: Introduction- The moment-area hypothesis is a mathematical formula for calculating the slopes,…

Q: 15 kN 2m 20 kN/m B D 1.5I 1.51 3m 3m 5m 4m I A

Q: Q2: The effect or two forces FA,FB is (5 KN) and acting along u axis, determine the value of FB by…

A: Concept: In given problem it has been asked to determine unknown force in member B using…

Q: The 100-kg disk rests on a surface for which μB = 0.2.Determine the smallest vertical force P that…

A: FBD of the given problem:

Q: Q 2 Using the method of virtual work, determine the horizontal displacement of point C of the…

A: Given:- A frame is given with a point load of 180 KN and a uniformly distributed load of 20 KN/m.…

Q: Determine the vertical displacement of joint B.

Q: GIVEN: W= 215N/m a = 5m El is constant A. Draw the shear and moment diagram.. B. Determine the slope…

Q: GIVEN: W= 215N/m a = 5m El is constant A. Draw the shear and moment diagram. B. Determine the slope…

Q: 8k 2 k/ft 20 k-ft 10ft 10 ft 15 ft

A: Given: Beam AD having hinged support at A and roller support at D Required : To calculate…

Q: * Q2: The effect or two forces FA,FB is (5 KN) and acting along u axis, determine the value of FB by…

Q: Determine the slope at B and the maximum displacement of the beam. Use the Area-Moment Method. Take…

Q: EXERCISE 3.2: A pin-jointed plane truss is pinned at point A and supported on a roller at point E.…

A: Compressive stress is the force that deforms the material in a way that reduces the volume of the…

Q: For the figure shown, determine the EI (area) under AB about point B using area –moment method

A: The cantilever beam is the beam that is fixed from one side and free from one other end. The maximum…

Q: Take length of AB=8

Q: Problem 1. Determine the displacement and slope at C. EI is constant. Use the conjugate beam method.…

A: Given values: A simply supported beam with overhang and 2 point loads. EI is constant. Using…

Q: Determine the slope at A and displacement at point C. EI is constant. Use the principle of virtual…

A: Draw FBD: Calculating reaction forces: ∑MB=0Ay×8=8×8×82Ay=32 KN∑Fy=0By+Ay=8×8By=32 KN

Q: Determine the slope and displacement at point C. EI is constant. Use the principle of virtual work.…

A: Use Castigliono's Theorem M'- is a couple which is applied at point C and analyzed to determine the…

Q: Q2\ Use the virtual work method to find the vertical and horizontal displacement at joint D. 30 KN…

Q: Using both Three-Method Equation and Slope Deflection Method. Determine the Slope at B, and the…

A: Answer We need to calculate the Moments in order to calculate the reactions. For slope deflection…

Q: Determine the displacement at C for the beam below. Consider E= 29(10') ksi and /= 600 Use the…

Q: Determine the slope and displacement at point B. EI is constant. Use the principle of virtual work.

A: Consider the beam ;

Q: 3. Determine the horizontal displacement of point C. El is constant. Use Virtual Work Method.…

Q: 10 k/ft Problem 3: 9–23. Determine the displacement at point D. Use the principle of virtual B work.…

Q: Determine the slope and displacement at point C. Use the principle of virtual work. EI is constant.

A: Consider the free body diagram of the given beam as shown below. EI=Constant

Q: (3) Use Virtual Work to determine slopes at A, B and C, and the displacement at C. Check all results…

A: As per policy, only one question can be answered. For solution using the moment area method kindly…

Q: Q 8. Use moment area theorems to find the slope and deflection at end C. Take E = 200 GPa, I = 70x10…

A: Given: The value of E is 200 GPa. The value of I is 70 x 106 mm4. Consider the figure.

Q: Determine the vertical displacement (inches) of joint B due to all effects vhen the 20 kip load is…

Q: Determine the slope at C and the displacement at D. El is constant. Use the conjugate beam method.…

Q: Determine the slope at point D using conjugate beam method. 75 k Hinge 40 k 250 k-ft E A B C D E12…

A: Given:- Length of the beam, Modulus of elasticity of beam, Moment of inertia,

Q: ЗKN/m 20KN В 10m А D 10m FIND THE TOTAL DISPLACEMENT AND SLOPE AT JOINT C AND JOINT B USING THE…

A: The given frame is simply supported carrying a uniformly distributed load of 3kN/M on the span BC…

Q: 3. Determine the slope at B and the displacement at C. El is constant. Use the moment-area theorems.…

A: Given data: E=70 GPa I=70×10-4 mm4

Q: Determine the horizontal displacement of the rocker at B. Take E = 29(103) ksi, I = 150 in4 for each…

A: Reaction Force - Force in the vertical direction - RA + RB = 0 ......1For the sum of the…

Q: Determine the slope at A and displacement at point C. EI is constant. Use the principle of virtual…

A: Castigliano's theorem is based on the partial derivative of energy to calculate slope and deflection…

Q: Problem 5: Compute horizontal displacement of joint C of the frame shown. I= 400 × 106 mm*, E =…

A: Given: The moment of inertia (I) is 400 x 106 mm4. The modulus of elasticity (E) is 200000 MPa.…

Q: Problem 02: Determine the slope and the vertical displacement of point C on the frame. Take E = 200…

Q: 9-30. Determine the slope and displacement at point C. El is constant. Use the method of virtual…

Q: 50 k A C D B 9 ft 9 ft 18 ft El = constant E = 29,000 ksi I = 4,000 in.4 %3D

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

Prob 01: Use method of virtual work and determine
A. The displacement of point C of the beam made from steel.
B. Slope at A of the beam made from steel.
E = 29000 ksi, I 240 in*
12k
10 k
B
- 5 ft+S t-
+ Sft+5 ft-

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 8 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

3 Determine the vertical displacement of Joint A by the Method Virtual Wok if member AE is fabricated 0.5 in. too short 8 ft B 8 ft 8 ft
Q7 Use method of conjugate beam to determine the slope and deflection at the center of the beam given below. Take E = 200 GPa and I= 4000 cm*. 5 kN 8 kN A EI B 2EI C EI -3 m -- 4 m t2 m -
Solve the problem using Moment -Area Method Problem I. The beam has a loose fit built-in support at B which allows the end of the beam to rotate through the angle 9, = 0.75° when the load is applied, as shown in the detail. E = 72 GPa and 1 = 120 x 10 mm². Determine the following: 200 kN -2 m- 는 A d. Displacement at the application of 200kN load B Detail -2 m- B
Using Virtual Work Method, calculate the horizontal displacement at joint B for the truss loaded as shown. The areas in mm2 are shown in parenthesis. E = 200 GPa for all members. В 200 KN (5000) (5000) (5000) D A. -(3500) Е (3500) 3 m 3 m (000s) (00SE)
Q1 Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional area of B 600 mm2. Take E = 200 GPa. Use the method of virtual %3D work. 2 m -1.5 m 5 kN Cood
4. Determine the displacement at point D. Use the principle of virtual work. El is constant. 8k Ip F4R 4 ft 3-k/ft ID 4 ft - C
Calculate the vertical deflection of point B and the horizontal movement at D shown in the figure. Consider that all the elements of the truss are linearly elastic and have sectional areas of 1800mm2. Also consider an E of 200,000N/mm2. Add the calculation process of solving the problem step by step and complete the table accordingly. L F FB ∂FB / ∂PB FD ∂FD/∂PD AE - 2√2/3 PB -2/3 √2 EB EF AB BC CD BF FD FC
Determine the slope and deflection at point B of the steel beam shown below using conjugate beam method. The reactions have been computed. E= 29(10³) ksi, I-800 in. 5k A (1 75 k-ft -15 ft- 5 k real beam -15 ft- B
The rigid frame is subjected to the distributed load and point load as shown in the diagram. IAB = 500in4 IBC = 800in4 ICD = 500in4 E = 29,000ksi Using the method of virtual work for frames, determine the horizontal deflection at roller A.
336 CHAPTER 8 DEFLECTIONS "8-24 Determine the displacement at C and the slope at It El is constant. Use the morrent-area theorems 8-25. Solve Prob 8-24 using the conjugate-beam method. 4KN 4 m 15 m 1.5 m Probs. 8-24/8-25 Prob. 8-26 I'm 8-26. Determine the displacement at C and the slope at B. El is constant. Use the moment-area theorems. 8-27. Determine the displacement at C and the slope at B El is constant. Use the conjugate-beam method. 244 Prob. 8-27 4KN TB 8-28 Determine the force F at the end of the be that the displacement at C is zero. El 15 COREL moment-area theorems Prob. 8-28 8-29. Determine the force P at the end of the bea that the displacement at C is zero. El is constant conjugale-heam method. Prob. 8-29 8-30. Detar slope at B and the displaceme El is constantemoment-area theorems C Prob. 8-30 8-31. Determine the slope at 3 and the displace El is constant. Use the conjugate-beam method Prob. 8-31 18-32 at A. E 8-33, slope a 8-34. constam 8-35. consta
A 8 kips 60 in B * 60 in C * 120 in → D For the beam given above use the Conjugate Beam Method to determine: a) The vertical deflection at point C (mid-span). b) The slope at C. c) Draw the deflected shape. E=29,000 ksi l=400in4
A Use the Virtual Method for Beam. Determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70(106) mm². 3m 29 KN D -3 m B- + -3 m 4 kN