Answered: Example 4: Determine Aa, and Os for the…

Example 4: Determine Aa, and Os for the statically determinate cantilever beam. Use 750 x 800 square section E(40MPA) = 28 GPa 15KN 9kN/m 12KN/m A 16KN/m 2,2m 2,3m 2,2m 1,2m 3,6m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.11.4P: A simple beam AB of length L and height h (see figure) is heated in such a manner that the...

See similar textbooks

Related questions

Q: A simply supported beam with span of 8 m is subjected to a counterclockwise moment at the left…

A: Given Data The length of the beam is:L=8m The yield strength of the steel beam is:Fy=248 MPa The…

Q: P (kN) 2 (kN/m) 1kN/m (a) m 1m

Q: ф15сm 20cm 20cm Figure Qla 3kNm A 3m 2m Figure Q1b (b) i) Select a beam from standard rolled steel…

Q: 12.10. The free end of a cantilever beam of length L and flexural rigidity El is re- strained from…

A: Given : The cantilever beam of length L and flexural rigidity EI. Solution : The cantilever beam is…

Q: a.) Use moment-curvature relationship and double integration method to derive the maximum slope and…

Q: 12.10. The free end of a cantilever beam of length L and flexural rigidity El is re- strained from…

A: Consider the beam to be of a uniform cross-section, the material used is isotropic and homogenous…

Q: QUESTION 1 A beam of rectangular section as shown in Figure 1 carries a load of 2 kN at mid-span.…

A: Givensimply supported beam as shown in figure below-F=2kNL=3.6md=2bσblimit=9N/mm2

Q: Identify the arrangement for the beam of shear force diagram shown here. Simply supported beam…

Q: Problem 1. The T-beam is subjected the load condition as shown in Figure 1. 1. Drew shear diagram of…

Q: 2 Find the equation of deflection (under the uniformly distributed load) and calculate the maximum…

Q: A cantilever beam carries a varying load as shown in the figure. If E=200,000 Mpa and =120x106 mm4…

Q: 1. The simple beam carries a concentrated load P = 20 kN. Dimension a and b are 2.5 m and 1.5 m,…

Q: 711. A cantilever beam BD rests on a simple beam AC as shown in Fig. P-711. Both beams are of the…

Q: A wooden beam 5 m long, simply supported at its ends and it is carrying a point load of 8 kN at its…

Q: A 5-m cantilever beam supports a uniformly distributed load equal to 25 kN/m applied throughout the…

Q: : By using LRFD method, select a W10 shape for column GH shown in figure for the following data: W=…

Q: A cantilever beam of rectangular cross- section is subjected to load at free end. If the depth of…

Q: A simply supported beam (E = 12 GPa) carries a uniformly distributed load q =125 N/m, and a point…

Q: Problem 9: Find the Slope and deflection at B and C for a cantilever beam of L subjected to a load…

Q: Compute the midspan value of EI 8 for the beam loaded as shown in Figure. 600 N/m 3 m 2 m R₁ Figure…

Q: simply supported beam of length 3 m, is subjected to an Uniformly distributed load of 28 kN/m for…

A: Note: As per the Bartleby guidelines, only three parts of a question can be answered at a time.…

Q: QUESTION 3 Calculate the vertical deflection at point 'A' for the thin curved beam shown in figure…

Q: A simply supported beam is to span 5 metres and support uniformly distributed characteristic dead…

Q: A cantilever beam AB of length Land uniform flexural rigidity El has a bracket AC attached to its…

Q: A cantilever beam, 850 mm long, carries a uniform load of 5 kN/m. What is the value of Ely at the…

A: GIven: Cantilever beam w=5 kN/m L=850 mm TO determine: EIy at free end

Q: A beam 19 ft in length has concentrated live loads of 6 kips and 9 kips at 5 ft and 13 ft,…

A: Consider the following free body diagram:

Q: What is the shape of BMD for the ? cantilever beam shown below 4/4 10 KN B Triangular Square…

A: Q.1: Given, P = 10 kN is applied at the end of the cantilever beam. Consider below FBD for the…

Q: For a 150 mm x 150 mm beam shown below with E = 205 GPa, select in the %3D choices the value that…

Q: A built-in cantilever beam with a hollow rectangular cross-section is subjected to a uniformly…

A: The variation of shear force for a cantilever subjected to UDL is to be identified. Shear force…

Q: 1. A simply supported beam of span 3 m has the T-section shown in Figure 1 and carries a uniformly…

Q: P B C |A LAB LBC

A: FBD: Ay= Reaction force at AMA=reaction moment at AConvert the loading condition by this (fig 2)From…

Q: 6. A cantilever beam, 850 mm long, carries a uniform load of 5 kN/m. What is the value of Ely at the…

Q: a) the slope of the beam at C (positive if counterclockwise and negative if clockwise). (b) the…

Q: 9.5-2 A simply supported beam (E = 12 GPa) car- THes a uniformly distributed load q point load P =…

Q: For the simply supported beam shown below find reactions at supports A and В. 2m 14KN 3m 28KN 2m

Q: A simply supported beam is subjected to a distributed load of wi=640 N/m and a point load pi = 940…

Q: Calculate the deflection and rotation at point (a) for the beam showing in figure by using unit load…

A: Deflection If the beam undergoes some load on it then deformation in the beam takes place and this…

Q: Q2. Calculate the slope and deflection of a SSB with span 5m carrying a point load of 20kN at 2m…

A: Given Data, There is a simply supported beam. L = Length of the beam = 5 m E = Young's Modulus of…

Q: 12.7. The uniform beam in Figure P12.7 has a circular cross section of diameter d and length L. It…

A: Draw the free-body diagram of the beams.

Q: Y kN 6 kN/m B 2 m -5 m Figure 3: A simply supported beam with uniformly distributed load (udl) and a…

Q: 15. In a simply supported beam subjected to uniformly distributed load (w) over the entire length…

Q: Problem No. 3 Using double integration method to determine the deflection at L and 1.5L for the beam…

Q: For a 200 mm x 200 mm beam shown below with E = 20 GPa, select in the %3D choices the value that…

Q: A cantilever beam of length 6 m (Figure 1) carries point loads of 4 kN and 3 kN at a midspan and…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Example 4:
Determine ΔA, and θB for the statically determinate cantilever beam.
Use 750 x 800 square section
E(40MPa) = 28 GPa

Example 4:
Determine Aa, and Os for the statically determinate cantilever beam.
Use 750 x 800 square section
E(40MPa) = 28 GPa
15KN
12KN/m
9KN/m
А
16KN/m
2,2m 2,3m _ 2,2m
|1,2m
3,6m
Compiled by S.D. Paulse (Mrs)
Page 2

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

Introduction

VIEW

Solution

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A cantilever beam with length l is carrying a uniformly distributed load, w. What is the maximum deflection of the beam, in millimeters? w = 7 kN/m l = 6.7 m EI = 60000 kNm2
A simply supported beam is subjected to a uniform service dead load of 1.2 kips/ft (including the weight of the beam), a uniform service live load of 1.8 kips/ft. The beam is 40 feet long, and it has continuous lateral support. If A992 steel is used, and the live load deflection must not exceed L/360, Is a W30 x 99 adequate? (for moment, shear, and deflection).
cross-section width w = 20 mm, cross-section hight h = 93 mm, length of the beam L =3 m , beam material’s Young’s modulus Q =226 GPa, applied bending moment MB = 11 kN.m The value of the deflection at Point B caused by MB ( Part I) can be calculated as 138.91mm
answer this ; Using the provided data: cross-section width w = 11 mm, cross-section hight h = 100 mm, length of the beam L =2 m , beam material’s Young’s modulus Q =243 GPa, applied bending moment ?? = 15 kN.m The value of the deflection at Point B caused by ?? ( Part I) can be calculated as
Since the load state and the rectangular cross section of the horizontal beam element are 200 MPa, the shear stress value is 200 MPa;What is the safety beam section (bx2b) value?
Describe what is the section modulus of the beams and its importance. Describe the formula for the section modulus
Calculate first the formula and then the value of the angle of rotation and deflection of the beam with a length of 3m at the point C. L = 2.1m , A= 0.9m E=210GPa I=119x106mm4
Engineering design questions : An beam having uniform square cross section is '2' metre long supported in bearings at its ends carries a fly wheel weighing '25' kN at the centre, subjected to load which varies from 70’ N to '200' N. Determine the width and depth of a uniform square plate,. The yield strength of the materials is '850' MPa and the endurance strength '550' MPa with FOS = 2. Other correction factors may be taken as follows: For axial loading (Ka) = 0.7; For machined surface (Ksur) = 0.8 ; For size (Ksz) = 0.85 ; For stress .concentration (Kf)=1.0
A cantilever beam is 2 m long supports load of 1000N/m over of its entire length. The beam is 100 mm wide and 200 mm deep. Determine bending stress in beam. a. 3.0 mPa b. 3.6 mPa c. 4.2 mPa d. 4.8 mPa I need the answer asap. Thankyou
Formulate the boundary-value problem for a beam (thin beam)
Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21 MPa, fy = 414 MPa. The beam is reinforced for tension only. Determine the design strength under the following conditions. a.) When the beam is reinforced with three 25 mm diameter bars. b.) When the beam is reinforced with four 25 mm diameter bars. c.) When the beam is reinforced with seven 25 mm diameter bars.
A cantilever beam has flexural rigidity is EI=200 × 106 N.m2 is loaded with a concentrated force at its free end. The area of the bending moment diagram is 10000 N.m2 . What is the magnitude of the slope of the beam at its free end?