Problem 10 ( If time permits?) The cantilever truss shown is loaded with two concentrated loads at joints C and E. Determine the vertical deflection of joint G using the method of virtual work. Bª A (4in³) C 140k 10 B ܣ (3 in ²) (4 in²) 16' (4in²) E (3 in ²) D (4²) 161 20k G 12'

Problem 10 ( If time permits?) The cantilever truss shown is loaded with two concentrated loads at joints C and E. Determine the vertical deflection of joint G using the method of virtual work. Bª A (4in³) C 140k 10 B ܣ (3 in ²) (4 in²) 16' (4in²) E (3 in ²) D (4²) 161 20k G 12'

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: Mechanical analysis on four different samples designated as A, B, C and D were carried out in a soil…

Q: 4. B H F -1.5 m-1.5 m-1.5 m-1.5 m- 6 kN D 6 kN 2m 2 m

Q: Consider the frame below. Determine the end moments of members AB and BC using slope-deflection…

Q: 3) Gate AB is 3.20 m long. Find the horizontal force H to hold the gate in equilibrium. (Width of AB…

A: Given data in question Length 3.2 m Width 2 m Specific gravity 0.8 Angle 60° Depth 60 cm and 2 m To…

Q: 3. A square foundation is constructed in a soil deposit as shown in the figure below. Assume that…

A: A square footing of dimension B = 4 m Depth of footing, D = 2 m Factor of safety, FOS = 3 Load is…

Q: While testing a metallic rod, it is observed that the diameter of the rod is reduced by 0.0025 mm at…

A: Given : Reduced diameter = 0.0025 mm Axial pull = 20 kN Original diameter = 15 mm Modulus of…

Q: A jar is a hammer that can be used to free a stuck pipe. a. True b. False

A: This question is related to Soil Mechanics from Civil Engineering. In this question ask about the…

Q: Solve for the shear and moment diagram of the following beam structures below: 1. A P₁ 2m P2 2m 1 W1…

A: Given Data Draw shear force and bending moment diagram.

Q: 5. 2 kN 0.8 m B -1 m- H -2 m- F -2 m- D 1 m 1.5 m E

Q: The NSCP specification and A36 steel (fy =250MPa, E=200GPa). Solve the Maximum Allowable…

A: Given:- The yield strength of the steel (fy) = 250 MPa The modulus of elasticity (E) = 200 GPa The…

Q: operation. First, circulate the kick out of the hole using original mud, then Circulate the kill…

A: Driller’s method is a two-step well kill operation. First, circulate the kick out of the hole using…

Q: A water treatment plant treating 100,000 gallons/day has discovered that their source water…

A: According to given data A water treatment plant treating 100,000 gallons/day has discovered that…

Q: A steep wide rectangular channel takes off from a reservoir having an elevation of 101.2 m. At the…

Q: determine the maximum load P if the maximum capacity in tension of the bolts is AKN A = 7.8 and…

A: Given that Maximum tension capacity of the Bolt, A = 7.8 and F= 2.4 KN r =0.152 +0.152 = 0.212 mL1…

Q: The discharge, Q, of an ideal fluid (no viscous effects) through an orifice de- pends on the orifice…

A: Given, Orifice diameter = d Pressure drop across orifice = ∆p Discharge = Q Ideal fluid with 0…

Q: Draw the shear force and bending moment diagrams for the following beam. determine the Normal Force,…

Q: A fluid is stored in a container. The fluid can be approximated as an ideal fluid having no viscous…

A: Given, An ideal fluid having no viscous effect. The pressure inside the fluid is, P = 2 MPa. The…

Q: The area moment of inertia about an axis can be used to: a. Establish the equations of static…

Q: A 2.8 m square column fooring has a total thickness of 47 mm. The factored moment at critical…

A: Given: Factored moment= 640KN-m Clear concrete cover= 75 mm f'c = 21MPa, fy = 275 MPa required:…

Q: Chow, Ven Te, Handbook of Applied Hydrology, McGraw-Hill, 1964. FRICTION FACTOR f 08 07 06 Find the…

A: Given Absolute roughness, e = 1.5 mm Diameter of pipe , D = 8 in

Q: 2. [Ac, 0c] Use conjugate beam method. (EI is constant) 30 ft B 15 ft 15 k C

Q: The mass center G of the 1280-kg rear-engine car is located as shown in the figure. Determine the…

Q: diagrams

A: This question is from Strength of materials.

Q: 2. Determine the x and y coordinates of the centroid of the section shown. 450 mm 720 mm K 150 mm…

A: Given data in question Axis system Dimensions Quarter circle 300 mm radius Triangle with base and…

Q: 3) Gate AB is 3.20 m long. Find the horizontal force H to hold the gate in equilibrium. (Width of AB…

A: Given

Q: 2m B E Q-For the beam shown, draw intluence lines for RAVE. ME. Vs. Mr. M. and VB F Im C 4m

Q: if the pitch is 60 mm and rivet value is 40 kN, the number of rivets required for a riveted…

A: Given- Load P=150 kN, Eccentricity e=300 mm=0.3 m, Rv=40 kN, Pitch p=60 mm,

Q: Design a rectangular beam for the ultimate cesign moment M₁ = 500 kN m. The beam dimensions as shown…

A: Given : Mu = 500 kN-m h = 500 mm b = 350 mm Use - 400 MPa steel and 30 MPa concrete This is a…

Q: We have discussed several highway design software tools in our class. List as many as ou can recall…

A: Solutions: Highway Engineering is considered one of the most essential disciplines in civil…

Q: 4. The supported beam in Figure 4 is being tested for a bridge design. Knowing that the beam AB…

A: Simply Supported Beam: A beam that consists of two supports at each end of the beam and which is…

Q: 12. [AD] Use the method of virtual work. (El is constant) 13. [AD] Use the method of Castigliano's…

A: Note: As per bartleby guidelines, I am answering only question no. 12. For rest of the question,…

Q: The frame below is loaded as shown, with a pin support at C and a roller pin support at E. Member…

Q: Figure Q1 shows a vertical cross-section of a site. The ground water table is located at 2 m below…

A: Given: A soil profile Required: (a)vertical effective stress at Point A. (b)horizontal effective…

Q: The field capacity of a soil is 25%, its permanent wilting point is 15% and specific dry unit weight…

A: A ) Given data : Field capacity of soil = 25 % Permanent wilting point = 15 % Specific dry unit…

Q: 240 lb 12' 400 lb D 16' A 600 lb 12' F 12' B

Q: A closely coiled helical spring made of 10mm diameter steel wire has 15 coils of 100mm mean…

A: Given: Closely coiled helical spring diameter, d = 10 mm Total number of coils, n = 15 Mean…

Q: Example: A k E = 2*10³ kN/m² I = 1 *10-4 m4 20 kN/m 4m Required: AB Ο 21 * 2m C * QAD nswers in…

Q: 50 uum 25-mm diameter Mercurs ९

Q: From the continuous beam shown, it carries a uniform load fro A to B and a concentrated lo at its…

A: Moment distribution method is displacement method and mainly depend on the stiffness of the…

Q: Question The capillary rise of water is 3cm in a tube. Find the diameter (mm) of tube if surface…

A: Given- Capillary rise h=3 cm=0.03 m, Surface tension s=0.075 N/m, Diameter of the tube = ?

Q: The asymmetric simple truss is loaded as shown. Determine the reactions at A and D. Neglect the…

Q: to derive the safety factor formula for infinite slope stability

Q: Your ship is sinking rapidly. A container containing an inflatable liferaft has bobbed to the…

A: Question ) Your ship is sinking rapidly. A container containing an inflatable liferaft has bobbed…

Q: Check the factor of safety against shear failure (bearing capacity) for the rectangular footing…

Q: A concentrically loaded isolated square footing of size 2 mx 2 m carries a concentrated vertical…

A: Given : Footing size = 2 m X 2 m Vertical load = 1000 kN This is a problem of Foundation…

Q: 6. Details of a retaining wall are shown in the figure below. The unit weight of the wall 2/3 to…

Q: A 12.5 mL sample of treated waste-water requires 187.5 mL of odor-free distilled water to reduce the…

A: Given that :- volume of odorous water = 12.5 mL volume of odour-free distilled water = 187.5 mL To…

Q: Draw the shear and moment diagrams for the loading shown. Indicate all values. 6 kip 0.8 kip/ft 5 ft…

A: Given: A beam with loading Required: Shear and moment diagram

Q: Knowing that α=20, determine the tension in cable AC and rope BC.

Q: Consider a gated-controlled overflow spillway with a length of 30 ft and designed for a head of 8…

A: According to given data A gated-controlled overflow spillway with a length of 30 ft and designed…

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 10 (If time permits?)
The cantilever truss shown is loaded with two concentrated loads at joints C and E.
Determine the vertical deflection of joint G using the method of virtual work.
140k
to
B
A
(4 in) C
(3 in ²)
(4 in²)
16'
(4in¹) E
(3 in ²)
D (4in³)
y
20k
G
12'

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 5

Step 6

Step by step

Solved in 6 steps with 6 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 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
Determine the Vertical Deflection at F. Indicate the negative sign if the answer is downward. For the Billboard Truss, shown are the following details: A-internal = 4 in^2 A-external= 10 in^2 E= 29x10^3 ksi
1. Use the virtual work method to determine the vertical deflection at joint C of the truss shown. 15 ft D (4 in.2) (3 in.2) (4 in.²) 20 ft E B 25 k E = 29,000 ksi (4 in.²) (4 in.²) -20 ft- C 25 k
use virtual work method to determine horizontal and vertical components of the deflection at joint B of the truss P D A E B -2 at L EA= = constant P A F |--
Determine the deflection at the free end on the beam using conjugate beam method. The homogeneous steel cantilever beam has a moment of inertia on point A to point B of 2500x10^6 mm^4 and from point B to point C of 1250 x10^6 mm^4. Show complete solution.
A load 600kN applied at point A, as shown in fig above, produces a vertical deflection at A, B and C of the beam as Ab = 10mm and Ac = 15mm respectively. What is the deflection at A when loads of 200 kN and 400kN are applied at B & C, respectively. 600KN ΕΙ + B 2L/3 A 2EI + C *4 L/3
1) Use the virtual work method to determine the horizontal and vertical components of the deflection at joint B of the truss. 1-a 1-b 3L 3 m = 2600 mm² OO A 2L 2P B EA= constant 4000 mm² 2600 mm² P 3 m 4L 75kN D 4000 mm² E = 70 GPa 4000 mm² 3 m B 500 KN
PROBLEM 1(USING CONJUGATE BEAM METHOD) DETERMINE THE DEFLECTION AT POINTS B AND D 2.5 k/ft Hinge 35 k A D В -16 ft- 8 ft- -8 ft- I = 4,000 in.4 [ = 3,000 in.4 E = constant = 30,000 ksi
The cantilever beam is a 10 in length carbon steel bar, with a diameter of 1 in. And it is charged by a force F = 100 lbf.A) A Find the maximum deflection using the method of virtual forces, including that resulting from shear.B) What error will be introduced if the shear is disregarded?
O Determine the horizontal deflection at joint C of the frame given below by the virtual work method. 50 KN 4.5 m A B 3 m 30 kN/m Hinge 3 m C D E = 200 GPa I= 400 × 106 mm²
Given E = 29000 ksi, the cross-section area of the top and bottom chord members 1500mm^2 and of the other members = 2500mm^2. The length of all members = 6m. Using the method of virtual work to find a) The horizontal deflection at joint L3 and b) The vertical deflection at joint U3 Uz Us Lo La L2 30 kN 30 kN 3 panels @ 6 m = 18 m
A/ Use Castigliano's second theorem to determine the vertical deflection at joint B of the trusses shown in Figure (1-A) -2m 4 45 kN Figure (1-A) -2 m D 1.5 m