Find the vertical deflection at joint C of the frame shown. Use the method of virtual work. (c) 150 kN 50 kN/m 21 Use this for frame: El = constant E = 200 GPa I = 800(106)mm¹ то 2 m 2m 200KN. m B D 27 4 m

Find the vertical deflection at joint C of the frame shown. Use the method of virtual work. (c) 150 kN 50 kN/m 21 Use this for frame: El = constant E = 200 GPa I = 800(106)mm¹ то 2 m 2m 200KN. m B D 27 4 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter6: Deflections Of Beams: Geometric Methods

Section: Chapter Questions

Problem 8P

See similar textbooks

Related questions

Q: beam is subjected to a shear of 150 kN. Bel ge width, bf = 200 mm ge thickness, all depth, d = 300…

Q: Q3. A copper bar of 50 mm*50 mm cross section is 1.5 m long, it subjected to an axial pull of 100…

Q: For the beam shown, using the conjugate beam method, determine the slope the deflection at D. El is…

Q: e for Ay and By

Q: C. Calculate the modulus of elastisity for a material which produces the following data when…

Q: Q1 Define five of the following with sketch compulsory. ( 1-Allotropy 2-BCC 3-yeild strength 5-…

Q: Select a 30-ft-long W12 section of A992 steel to support a tensile service dead load PD = 130 k and…

A: As per AISC LRFD Specification The strength in design φt Pn is the taken as minimum of the…

Q: Determine the LRFD design strength, FcPn, and the ASD allowable strength, Pn /Ωc , for each of the…

A: The given data is shown below: Fy=40 ksiFy=50 ksi

Q: A 6.0 m cantilever retaining wall with a surcharge of 10 KPa on the level of backfill. Use the…

A: Answer Let us draw the forces acting on the cantilever retaining wall as shown below Pa = Active…

Q: Situation. A flooring system consists of parallel I-beam sections spaced at 3 m. on centers simply…

Q: 7.5 A pervious soil layer is sandwiched between two impervious layers as shown in Figure 7.31. Find…

A: Given: Coefficient of permeability Head difference Length of flow field To find: Rate of flow…

Q: PROBLEM 1 A square footing 2.4m x 2.4m x 0.45m thick supports a rectangular column 0.35m x 0.40m at…

A: Live load = 400kn , Dead load = 680 kN , f'c = 207 mpa , fy = 275 mpa load on soil =…

Q: A 5 m cantilever beam (fixed at left support) carries an upward uniform load of 60 kN/m over a…

Q: uestion 4: The tank in a water tower has the geometry shown in the figure (the lower part is a…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 780 mm.…

Q: 3 Q) If y = sin³ () cos³ (²) prove that y'=sin² (x) cos(x)

A: 2 sin x cos x = sin 2x similarly, 2 sin x2 cosx2= sin x derivative of sin x w.r.t = cos x

Q: Wu-100 kN/m 6 m D www. Question 9 (PROBLEM 2) A three-member frame ABCD is loaded with ultimate…

A: Neutral Axis: The axis which passes through the cross-section of the beam or a shaft that represents…

Q: Given the beam and loading show below • Draw the shear and moment diagrams. Label all significant…

Q: A rigid bar is suspended by three rods made of the same material as shown in the figure. The area…

Q: Calculate the flux of water through MF and UF membranes operating at 1 bar pressure and 298 K.…

Q: Timber is to be used in the construction of a single story house. Sketch the proposed house and…

A: Timber for construction is one of the many forest products used around the world. It is used in…

Q: 2. The discrepancy for the measurement is the difference between the first measurement and the…

A: Given Data:

Q: Hi can you please fully complete the first diagram ( 3 tasks ) I'm completely lost on it and need…

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

Q: Determine the mid-span deflection of beam ABCDEF using the area-moment method. 12 kN 4 kN/m 16 kN-m…

A: Given data:

Q: Question 3 of 22 Refer to the beam shown, 75 60 kN/m kN/m # 2m 4m 3m 90 kN.m A B C D For the beam…

Q: A rectangular beam 100 mm x 200 mm carries a uniformly distributed load of 5 kN/m over its simple…

A: Given data- A rectangular beam 100 mm× 200 mmUDL=5 kN/mSpan of the beam=5 mTo Find-The shear at 1 m…

Q: SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and…

Q: 3: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that…

A: Given data dAB = 1.25 in dBC = 0.75 in P = 10 kips

Q: 5. For the overhanging beam, determine the magnitude and sense of Ele over the support at C. 1000 lb…

Q: Q2 The 2-kg collar A starts from rest in the position shown when a constant force F=100 N is applied…

Q: A beam with span of 12 m has overhanging portions at both ends and is loaded with a uniform…

Q: In a CBR test, the load sustained by a remoulded soil specimen at 5 mm penetration is 120 kg. If the…

A: given- load sustained by a remoulded soil specimen at 5 mm penetration = 120 kgstandard load for 5…

Q: Problem II. Solve the problem using Conjugate Beam Method. The beam shown has a constant El and is…

Q: 7.7 In a constant-head permeability test, the length of the specimen is 200 mm and the cross…

Q: Sieve size (mm) 10 5 2.36 1.18 0.6 0.3 0.15 0.075 Wt. retained (g) 0 7 30 33 62 98 55 18 Retained…

Q: Determine the required volume of the concrete anchor blocks in m³. O 2600

A: Given :

Q: 18 kN/m II 12 m B

A: Write the equations of the following and use them to draw the shear and moment diagram.

Q: Sieve size (mm) 10 5 2.36 1.18 0.6 0.3 0.15 0.075 Wt. retained 0 7 30 33 62 98 55 18 Retained (%)…

Q: The structure rests on a frictionless support at A and pin connected at D. Determine the reaction…

A: At support A due to frictionless surface no movement in upward and downward. Due to simply support…

Q: Find the present value of a deferred annuity of P8599 every six months for 4 years that is deferred…

A: Hi! Thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: The 510-kg uniform beam is subjected to the three external loads shown. Compute the reactions at the…

Q: 3. For the planar wedge shown below: 22 m Slip surface 39° 28° Calculate the factor of safety…

A: Given data: φ=50∘γ=2600 kN/m3c=1950 kN/m3α=39∘θ=28∘

Q: The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB…

Q: SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and…

Q: H.W. 1: It is required to dewater a construction site, The bottom of the construction will be Im…

A: Given data:- Transmissivity( T )=800 m2 /day t0=15 days r=60m

Q: For the simple beam loaded as shown, determine the value of Elō at C, 2m from the left support, and…

Q: Write the equations of shear force and Bending moment for each section in the beam shown in figure,…

A: Write the equations of shear force and Bending moment for each section in the beam shown in figure,…

Q: Complete the sieve examination table for aggregates below and calculate the fineness coefficient

A: Sieve analysis A sieve analysis is a civil engineering method or procedure for determining the…

Q: For the beam loaded as shown, what is the location where the slope is zero from the right end of the…

A: For the given beam and loading, the location of zero slope from the right end has to be determined

Q: A steel column in a building of 6 m length carries a design axial load of 1200 kN. It is built up 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

Find the vertical deflection at joint C of the frame shown. Use the method of virtual work.
(c)
150 kN
50 kN/m
21
Use this for frame:
El = constant
E = 200 GPa
I = 800(106)mm¹
то
2 m
2m
200KN.
m
B
D
27
4 m

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

Determine the deflection at point C. Use the following parameters: P = 40 kips, w = 3.7 kips/ft, E = 29000 ksi, I = 2700 in4 Answer: -0.664
Determine the deflection at point C using moment area method. EI=constant, w=30 kN/m a=3m and L = 5m
(a) Compute the vertical deflection at C, the horizontal deflection at D and the rotation at A by the virtual work method. (b) If support E moves to the right by 5mm and settles downward by 10mm, compute the additional horizontal deflection at D. Given E=200GPa and I=108mm4 .
Determine the slope at B and the deflection at C by the moment-area method for the beam shown below. Take ? = 29000 ?/??^2and ? = 2500 ??^4.
Determine the horizontal deflection at point b using virtual method
Use the moment-area method to determine the slope and deflection at point D of the beam shown.
Compute the vertical and horizontal deflections of B by the virtual work method. GivenE=200GPa and I=108mm4 .
Compute the horizontal & vertical components of the deflection of point C for the frame. Given I=240×106 mm4, E=200 GPa. (Use the Complementary Virtual Work Method).
Using the moment-area method, determine the slope and the vertical deflection at point A of the beam shown at Figure 1. Note that CD kN = 8kN.
If point B settles by 2mm, determine the reaction of the beam shown. Assume EI is constant withE=200GPa and I =400x106mm4. (Use either Three Moment Equation or Slope Deflection Method)
3. Using moment-area method, compute the slope and deflection at the free end of the of the cantilever beam shown. E = 29,000 ksi , I = 760 in⁴
Use virtual work method to determin the deflection and slope at point B. EI= constant, E= 200 gpa, I=1200x10^6