Part 2: Beam analysisThe timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changesfrom segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. Theload, geometry and cross-sections of the beam will be instructed to each student in class.BA:BCDE0.5L0.5L0.75L0.75Lbị0.25hIb2h2NAhịSection B-BSection D-DFigure 2(a) Determine the deflection of the beam at point D by both Virtual Work Method and Castigliano'sTheorem. Compare and comment on the differences in these approaches.(b) Calculate the bending and shear stresses at point F on the Section B-B.(c) Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details,including principal stresses and maximum shear stress. PART 2Cross-section dimensions (mm)Load Q (kN) Length L (m)b1h1b2h210.52.19621156161

Answered: Image /qna-images/answer/7dcde2cb-e2bf-40f4-b8cb-3dd01a98ac9e.jpg

The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changes from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. The load, geometry and cross-sections of the beam will be instructed to each student in class.

The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changes from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. The load, geometry and cross-sections of the beam will be instructed to each student in class.

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 wood beam carries the loading shown in the figure. calculate the magnitude of the bending stress…

A: Given data: b=70 mm h=244 mm W=2372 N/m P=5470 N To find: The bending stress at 42mm from top…

Q: The timber member has a cross-sectional area of 1653 mm2 and its modulus of elasticity is 12.9 GPa.…

A: Calculate the axial force in each of the segments of the given bar. Then using the algebraic sum of…

Q: A cantilever timber beam with a span of L = 2.2 m supports a uniformly distributed load w. The beam…

Q: The timber member has a cross-sectional area of 1653 mm2 and its modulus of elasticity is 12.9 GPa.…

Q: A timber column, 8 in. by 8 in. in cross section, is reinforced on all four sides by steel plates,…

Q: A timber beam shown in the figure is made up of Kamagong (50% stress grade). Use LRFD. All the given…

Q: Question # 01 p f Design the following steel beam for bending and check for both shear stress and…

A: Fb(allowable) = 30 ksiFv(allowable) = 14.5 ksiE = 30000 ksi

Q: 1. Determine the initial stress at the bottom fibers due to prestressing force alone. 2. Determine…

A: eb (eccentricity from bottom) = 267-75 = 192mm

Q: answer b only

Q: A plank of wood is to be tested for its compressive strength, the cross-section of the timber is…

Q: simply supported wood beam of length L = 10 ft carries a concentrated load P at midspan, as shown.…

Q: two span beam subjected to shear and flexure only is reinforced as follows: Given: Stirrup…

A: %pt = Ast / Ac Ac = b * deff

Q: The assembly shown is made up of T-shape steel and two wood as shown. A bending moment M is applied…

Q: A beam which is simply supported is composed of four pieces of 75mm x 200mm plank molave timber may…

A: Consider the given beams.

Q: The wood beam is loaded as shown below. If the section modulus, E = 1,800,000 psi, determine %3D a.…

A: Given, is a simply supported wooden beam with rectangular cross-section. To determine the moment of…

Q: A compressive force P is applied to a 75mm by 100mm piece of wood. The wood grain makes a 20- degree…

A: To determine the largest axial load P that can be safely applied to the wooden column. Given,…

Q: For the wooden beam sketched in the figure, ask for the mid-span section. a) Determine the normal…

A: To determine the normal stress at various points draw the normal stress distribution check for…

Q: thick. It supports an axial load of 1,000 kN. E for timber is 10 GPa and for steel, E = 200G 10 200…

A: Because of strain compatibility δsteel =δtimber σsteel LEsteel =σtimber LEtimber…

Q: The timber member has a cross-sectional area of 1603 mm2 and its modulus of elasticity is 13.8 GPa.…

A: Compute the change in the total length (in mm) of the member

Q: 4 KN 2 KN 10 KN

A: Solution

Q: 1. A single span beam having an unsupported span of 20m carries a uniform load of "W" kN/m…

Q: 20. A floor system in a small building consists of wood planks supported by 50 mm (nominal width)…

Q: Determine the x-bar centroid of the composite figure shown. Where x1=68; x2=100 and y=85 х1 x2 y

Q: two span beam subjected to shear and flexure only is reinforced as follows: Given: Stirrup…

Q: 1) Use the notion of symmetry and construct an FBD for only the upper half of the left-hand wood…

A: Solution; Given that; β=74° P=1360 b=1.55 in. d=3.70⇒d/2=1.85 length of AB=1.85sinβ2LAB=…

Q: • width of beam, b = 350 mm • thickness of beam, t = 450 mm • f'c = 20.7 MPa • fy = 415 MPa • steel…

A: Answer We need to find the ultimate moment on the beam. Ultimate Moment(Mu) will be equal to maximum…

Q: The joists of a floor in a warehouse are to be selected using square timber beams made of oak. The…

A: the maximum shear stress : The most concentrated shear force is the one with the highest shear…

Q: roblem eel and aluminum plates are used to reinforced an 80 mm by 150 mm timber eam. The three…

Q: Problem 3: The timber member has a cross-sectional area of 1750 mm2 and its modulus of elasticity is…

Q: 3. A wood beam (1) is reinforced on its lower surface by a steel plate (2) as shown in the figure…

Q: 4cm 12 cm 1- A wooden beam having a span length of 3m is built with three timber parts connecting by…

Q: Q3 - For the given wooden beam and cross section, a) Determine the maximum magnitude of P (P>0) by…

A: To determine: a) The value of maximum magnitude of P. b) The value of maximum spacing of nails.…

Q: A wood beam carries the loading shown in the figure. Calculate the magnitude of the bending stress…

A: Given data in question UDL Point load Span member length Cross section To find out Bending…

Q: =hown in the figure. The distributed load includin of intensity 244 lb/ft over

A: Given:- udl=244lb/ft span=19.3ft b=4in Est/Ewd=20 To find:- maximum bending stress

Q: A beam is made using structural timber C24. The beam is 6 meters long and fixed against displacement…

A: The moment at A and B will be zero. Due to vertical loading reactions at A and B will be in the…

Q: Problem 6.108 The wood used for the T-beam has an allowable tensile and compressive stress of…

A: Given :

Q: All members have a cross sectional area of A, and a Young's modulus of E. Calculate the horizontal…

Question

Part 2: Beam analysis
The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changes
from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. The
load, geometry and cross-sections of the beam will be instructed to each student in class.
B
A
:B
C
D
E
0.5L
0.5L
0.75L
0.75L
bị
0.25hI
b2
h2
NA
hị
Section B-B
Section D-D
Figure 2
(a) Determine the deflection of the beam at point D by both Virtual Work Method and Castigliano's
Theorem. Compare and comment on the differences in these approaches.
(b) Calculate the bending and shear stresses at point F on the Section B-B.
(c) Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details,
including principal stresses and maximum shear stress.

PART 2
Cross-section dimensions (mm)
Load Q (kN) Length L (m)
b1
h1
b2
h2
10.5
2.1
96
211
56
161

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 Given

VIEW

Step 2 Determination of deflection at D

VIEW

Step 3 Bending and shear stress

VIEW

Step 4 Principal stress and maximum shear stress

VIEW

Step by step

Solved in 4 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 nominal moment strength, Mn, of the bridge girder shown in Figure 2 Can you work the problem out on paper and show all the steps it took to solve along with any notes or anything that help explain the process along the way.
i need the answer quickly
PROBLEM 4.37 Three wooden beams and two steel plates are securely bolted together to form the composite member shown. Using the data given below, determine the largest permissible bending moment when the member is bent about a horizontal axis. axis 250 mm Steel Wood 50 50 mm mm mm 50 Modulus of elasticity 14 GPa 200 GPa 6 mm Allowable stress 14 MPa 150 MPa
g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal places.
i will upvote who can answer this
answer A only . Answer just by virtual work method
4.1
determine the modular ratio n. Enter your answer to 4 decimal places.
A unreinforced concrete beam is 6in wide and 12 in deep and has a point load P at the third points of the span. How large can the point load P be before the beam cracks if the f't = 400 psi? P 8ft 50 lbs 100 lbs 400 lbs 600 lbs * 8ft P 8ft
4
6. The figure (next page) shows an experimental set-up for testing the bending capacity of a wood cross-beam. Note that the grain directions for the two support columns are different. The vertical columns have a cross-section of 3 in. x 3 in., and are both 5 in. long. The beam has a cross-section of 2 in. x 4 in. and has a length of 8 in. The stronger column has a compressive strength of 4675 psi and a modulus of elasticity of 0.8 x 106 psi. The weaker column has a compressive strength of 1545 psi and a modulus of 0.4 x 106 psi. a. What is the maximum allowable load, P, on the beam if its modulus of rupture (MOR) is 5230 psi and the moment M=2P? b. If a total load P= 28000 Ib is supported, wil either column fail due to this load? Show calculations to support your answer.
Determine the centroidal moments of inertia of the symmetrical beam cross section shown. Determine both T & Ty about axes that pass through the centroid of the composite figure. The horizontal components are 1" x 8" The vertical components are 1" x 6"