Consider the cantilever beam shown in (Eigure 1). Suppose that IA640(10) mm. Inc - 150(10) mm. Take E = 200 GPa. Figure 12 kN/m 1 of 1 KAN/m Part B Determine the displacement at point C measured downward. Use Castigliano's theorem. Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is downward and negative value if the displacement is upward. Submit Part C HAC 0c= Value Request Answer Units ? Determine the slope at point C measured counterclockwise from the positive a axis. Use Castigliano's theorem. Express your answer using three significant figures. VAE Ivec rad

Consider the cantilever beam shown in (Eigure 1). Suppose that IA640(10) mm. Inc - 150(10) mm. Take E = 200 GPa. Figure 12 kN/m 1 of 1 KAN/m Part B Determine the displacement at point C measured downward. Use Castigliano's theorem. Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is downward and negative value if the displacement is upward. Submit Part C HAC 0c= Value Request Answer Units ? Determine the slope at point C measured counterclockwise from the positive a axis. Use Castigliano's theorem. Express your answer using three significant figures. VAE Ivec rad

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: A rectangular bar is subjected to tensile forces of 2230 kN. Use E = 110 GPa and ν = 0.34. Determine…

Q: . Determine the ratio To/T,

Q: Double Integration Method to answer the problem

A: Given:- w=50mm maximum displacement=10mm E=10GPa To find:- h

Q: Consider the beam-column shown in the following figure. Determine the deflection y(x). w(x)=w EI, L

Q: The basic differential equation of the elastic curve for a cantilever beam is given by the following…

A: Given the following parameters: L = 120 inches E = 30,000 ksi I = 800 in4 P = 1 kip Initial…

Q: This figure shows a cantilever beam that is subject to a point load and a moment. What is the…

A: Given data in question Load = P=60 KN Moment=M= 300 kNm Span member length=l= 10 m Elasticity…

Q: Problem 4: to The rubber tube (G= 1 MPa) is fixed at both ends and is turned by a rod. Define the…

Q: own in Figure Q5(a). The cross-section of the beam is shown in Figure Q5(b). Given that LAB = 2100…

A: Given data LAB =2100 mm, LBC =2900 mm, B0= 20mm B 1 = 30mm H = 240mm h0= 160mm h1 = 40mm

Q: INPUT ANSWER IN 2 DECIMAL PLACES WITHOUT THE UNIT. Determine the member force BC (kN) shown in the…

Q: For the beam shown, solve for the deflection (in mm.) at B. Use the following data: W = 1.8 kN/m…

A: Deflection can be computed directly by using the standard formula for the given case

Q: The cylindrical tank in Figure 1-17 carries an internal pressure of 150 psi and is made from 1/2…

A: Compute the maximum diameter of the tank based on longitudinal joint strength

Q: For the figure shown, solve for the maximum value of the counterweight W so that the 2000N block…

A: To find maximum value of weight W

Q: A cantilever beam carries a varying load as shown in the figure. If E=200,000 Mpa and Determine the…

Q: A structure as shown in the figure is hinged at A and rests on a roller at C. In using Castigliano's…

Q: e right solutio

A: Given Figure Given data A=150mm2 E=180GPa L=4m P=50kN Draw Free body diagram

Q: The rigid bar BC in the figure is supported by the steel rod AC of cross-sectional area 0.25 in.…

A: Given data : Area (A)=0.25 in2E=29×106 psiload=2000 lb

Q: 1.67 Determine the orthogonal component of C= rx F in the direction of the m, F = 300i 100j + 500k…

Q: EXAMPLE (1) A circular bar having 200 mm? area is subjected to axial loads as shown in Fig. Find the…

Q: Determine the slope at point C measured counterclockwise from the positive a axis. Use the principle…

Q: A continuous beam loaded as shown figure. Assume El is constant. Use any method to determine the…

Q: Consider a beam as shown in the figure. (a) Determine the global stiffnes matrix and load vector.…

A: The stiffness matrix is given by: K =…

Q: M 12 m. 60° Sin. 40 lb Problem 03.114.b - Location of the resultant force Locate the points where…

Q: In the system shown, determine the value of the force F if the coefficient of friction between the…

Q: Part A The shaft (Figure 1) supports the two pulley loads shown. Determine the slope of the shaft at…

A: Given:- To find:- Slope at A and B

Q: V(x) = 5 + 0.25.x ar force and x is length in distance along the beam. V = dM/dx, and M is the…

Q: Consider the beam shown in (Figure 1). Assume (2 is a roller. El is constant. Suppose that w = 5…

Q: Determine the xbar in meters centroid of the figure shown. Vhere r2=9 m and r1=3 m

Q: Q 7. Use the method of conjugate beam to find the slope and defection at the free end of the…

A: Given: IAB = 4000 cm4 Or IAB = 0.4 m4 EIBC = 2EIAB EICD = 3EIAB

Q: Given a cantilever beam of length L=3.7meters. The left support “A” is free while the right end “B”…

Q: A В |+ c a

Q: Determine the displacement and the slope at D, shown in the figure. Assume A is a fixed support, B…

A: From equilibrium conditions: ∈MB=0Rc×4-Q×8=0Rc=2Q∴RA=RC-Q =2Q-Q RA =QMA=2Q×8-Q×12MA=4Q…

Q: The rigid bar BC in the figure is supported by the steel rod ẠC of cross-sectional area 0.25 in?.…

Q: Two aluminum rods AB and BC, hinged to rigid supports are pinned together at B to carry a vertical…

A: Given data load P = 20 KN Crossection area of rod = 400 mm2 modulus of elasticity E = 70,000 MPa =…

Q: For the following Problem using the Stiffness method only (FEA) determine the rotation at B. Assume…

Q: Determine the displacement at C measured upward. Express your answer using three significant…

A: Displacement at C and Slope At D Using Conjugate Beam Method ####

Q: P= 1.60 ton q= 1.30 t/m (El = 5050 t.m²) B 2.10m

A: Given data Cantilever Span length UDL Point load Flexural rigidity

Q: P kN P kN 30 A B 0.5 m > - 0.5 m → – 0.5 m – >

A: using equilibrium equation,∑FV=0,therefore,RA+RB=P+Pcos30°RA+RB=55+5532RA+RB=102.63…

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

Consider the cantilever beam shown in (Figure 1).
Suppose that IAB = 640(10) mm²,
1pc = 150(10) mm². Take E = 200 GPa.
Figure
12 kN/m
1 of 1
K&N/m
fac
Part B
Determine the displacement at point C measured downward. Use Castigliano's theorem.
Express your answer to three significant figures and include the appropriate units. Enter positive
value if the displacement is downward and negative value if the displacement is upward.
Ac
Submit Request Answer
Part C
Value
0c=
Units
?
Determine the slope at point C measured counterclockwise from the positive z axis. Use Castigliano's
theorem.
Express your answer using three significant figures.
15. ΑΣΦ. 11 Ivec
Review
?
rad

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: Introduction

VIEW

Step 2: Apply load and couple at C

VIEW

Step 3: Moment and derivatives

VIEW

Step 4: Integration of moment and derivatives

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 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

For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam. I need the solution. The answer is provided in the 2nd pic.
PLEASE ANSWER I NEED IT ASAP
*PLEASE WRITE THE SOLUTION *THE ANSWERS MUST BE IN 4TH DECIMAL PLACE Need in 30mins at most 1hr....
Answer part B and C plz
Using either the Portal Method or Cantilever Method, determine all the member forces of the frame shown below. Submit your answers in the format where the member forces are written along the corresponding members as illustrated in the short video discussion. Computation of such values may no longer be shown. a= 7 m b= 9 m P= 113 KN 3P/2 P G a H E b I F с 4m 5m
PROBLEM 3 Knowing that rod AB has a diameter of 45mm, determine the diameter for BC for which the displacement of point C will be 3mm. E = 105GPA. AB is 2m in length and BC is ,8m.
Show Free body diagram Show complete solution and neat solution Round off into 4 decimals all answers
2. Using the double integration method, determine the displacement at point C in the beam shown. Use E = 200 GPa. The section is given below for the moment of inertia. 8 kN 2 kN/m B 2 kN/m 4 m 4 m 100 mm 25 rmrm 100 mm 25 mm 25 mm
Question Can Please Help Me: Structural Theory/Civil Engineering 60 minutes only the given time. Wish you could help me. I will give UPVOTE and GOOD FEEDBACK.
A 6.6m cantilever beam shown carries 189KN/m uniform load. Point A is free end while point B is fixed support. Using Double Integration Method with origin at point A, calculate the second constant of integration, C2 in KN-m³. Express your answer in 2 decimal places. A W - L B
MECHANICS OF DEFORMABLE BODIES
A wide-flange beam (see figure) is subjected to a shear force V. 0 -b→→→→ Using the following dimensions of the cross section, calculate the moment of inertia and then determine the following quantities. b = 6 in., t = 0.5 in., h = 10 in., h₁ = 8.4 in., V = 28 kips Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. (a) the maximum shear stress max (in psi) in the web psi max Taver Th (b) the minimum shear stress min (in psi) in the web psi = (c) the average shear stress Taver (obtained by dividing the shear force by the area of the web) and the ratio max (Enter your answer for T Taver in psi.) Taver = Taver psi Vweb web (d) the shear force Vweb (in kips) carried in the web and the ratio kips Vweb = Vweb = V