6. A simply supported beam, of diameter 12 mm, is loaded as shown in the figure below. Using double integration method, determine the location of the maximum deflection and magnitude of the deflection. Modulus of elasticity is 200 GPa for the beam material. 0.2m 20 N B ↓ 0.3 m mn 40 N/m 0.4m D

6. A simply supported beam, of diameter 12 mm, is loaded as shown in the figure below. Using double integration method, determine the location of the maximum deflection and magnitude of the deflection. Modulus of elasticity is 200 GPa for the beam material. 0.2m 20 N B ↓ 0.3 m mn 40 N/m 0.4m D

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: Using Engineering News formula, the allowable load (Qa) of a wooden pile hammered with a drop hammer…

A: Given that :- W = 30 kN Free fall = H = 1.5 m Penetration in last blow = S = 5 mm Empirical…

Q: How i can model at Autodesk inventor a three-point bending test on a simply supported, straight beam…

A: It has been asked in the question that how we can model at autodesk inventor a three point bending…

Q: 8.1 The storage, elevation and outflow data of a reservoir are given below: Storage 10 m² Outflow…

A: Since 8.1 and 8.2 are both separate question,so as per bartleby guidelines, solving first one…

Q: A 5 m thick soil stratum has coefficient of permeability of 3 x 10-7 m/sc. A separate test conducted…

A: 5 m thick soil k=3×10-7 m/sporosity n=40%bulk unit weight γb=21 kN/m3water content w=30% Head for…

Q: Given: a circular 1.5 in. diameter solid steel column carrying a compressive load with pinned ends.…

A: Diameter (D) = 1.5 in Length (L) = 72 in Elastic modulus, E = 29000 ksi

Q: Determine the IBC minimum required nailing for the following connections. Search IBC Table 2304.9.1…

A: The following form are given:- a. Joist to sill or girder, toenail b. Bridging to joist, toenail…

Q: (A.a. b. sin 0).

A: When two sides of a triangle and the angle made by them is given we can calculate that triangle area…

Q: how did you get 1.025 for solving the pre consolidation?

A: F = 200,000 lb Cc = 0.4 Cs = 0.05 Cv = 0.2 ft2/day NOTE : As per guidelines, first question (with…

Q: The R. C. beam cross section shown below is subjected to a positive moment equal to 600 kNm. The…

A: Centroid of Reinforcement = 490.625×12.5+314×60490.625+314 = 31.03 mm d = 100+700-40-31 = 729 mm…

Q: A preengineering baseline was run down a very steep hill (see Figure). The vertical angle is 21°26'…

A: To calculate the elevation of the lower station, we can use the following steps: Calculate the…

Q: The focal length of the object glass of a tacheometer is 320 mm, the distance between the vertical…

Q: The discharge though a pipe is 200 litres/s. The loss of head (in meters) when pipe is suddenly…

A: Discharge through the pipe Q=200 litres/s, Pipe is enlarged from 150 mm to 300 mm in diameter,…

Q: A simple curve having a degree of curve equal to 40030’ has a central angle of 50050’. It is…

A: A simple curve having a, • Degree of curve = 40°30’ • Central angle = 50°50’.…

Q: Determine the horizontal displacement of joint C. A L B The length, L, of trusses AC, BC is 1,500…

Q: 0 0 Influent- Influent Influent Anaerobic Aerobic Influent- Return activated sludge Aerobic Anoxic…

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

Q: How will the results of the comparison between the predicted and actual costs be used for future…

A: The results of the comparison between predicted and actual costs can be used in several ways to…

Q: The influence line is for V40 = shear just left of 40'. A load of 0.5 kip/ft is placed from O' to…

Q: For the following frame, calculate the total internal energy of the structure. Assume that EA = GA =…

Q: Design bond stress in limit state design method for deformed bars conforming to IS :1786 and M-20…

A: Deformed bars- M-20 concrete To Find- The design bond stress in LSM as per IS:1786.

Q: In an experiment, a soil is dug out from the ground, weighed, then oven dried, and then saturated…

A: W1 = 1539 gm W2 =1163 gm W3 = 1632 gm V = 1042 cc

Q: a) Calculate an expression in terms of Young's Modulus, E, and Second Moment of Area, I, for the…

Q: 1. Engineers may perform services outside of their areas of competence as long as they inform their…

A: The competence for engineers is expressed as the skill, knowledge or the qualification that they…

Q: The recorded rainfall at 4 raingauge stations in an area for a period of 8 years is given below Year…

A: Arithmetic mean method: If the normal annual rainfall at A, B and C are to be within 10% of the…

Q: A cantilever timber beam with a span of L = 3.3 m supports a uniformly distributed load w. The beam…

Q: L B supported beam wh constant.

Q: 8-21. Determine the slope and displacement at point C. Use the principle of virtual work. El is…

Q: For the following structure, please draw the normal force, shear force and the bending moment…

Q: 1. For the circular foundation below, determine: a) the ultimate settlement and b) the settlement…

A: F = 200,000 lb Cc = 0.4 Cs = 0.05 Cv = 0.2 ft2/day NOTE : As per guidelines, first question (with…

Q: A flexible pavement is constructed with 225 mm (8.86 inches) wearing surface of hot-mix asphalt with…

A: Wearing surface of hot mix asphalt with high rut resistance - 225 mm (8.86 inch)Recycled mixture…

Q: Water flows through a large size pipe with total and static pressure head of 0.5m and 0.3m of fluid.…

A: Total pressure head TPH=0.5 m Static pressure head SPH=0.3 m Coefficient of velocity factor Cv=0.98…

Q: A 20kn/M 2EI 5m B 2m ΕΙ 10Kn 2m C

Q: find the hydrostatic force acting on the 1 m wide cover ABC R=1.1 H=4.2 h2=2.5

A: Width = 1m R = 1.1 m h2 = 2.5 m H = 4.2 m Find the hydrostatic force acting on the 1 m wide cover…

Q: Example: The annual precipitation at station X and the average annual precipitation at 15…

A: Given data: Years Statio x Average of 15 stations 1950 47 29 1951 24 21 1952 42 36 1953…

Q: A sand sample has a bulk density of 20kN/m³ and a degree of saturation of 70%. If the specific…

A: A sand sample- Bulk unit weight γb= 20 KN/m3, Degree of saturation S = 70%, Specific gravity G =…

Q: a square footing with a size of 10 ft by 10 ft is located 8ft below the ground surface. the subsoil…

Q: Select the lightest W-shape that can resist a service dead load of 62.5 kips and a service live load…

A: W section is the most commonly used for constructing bridges and girders that are efficient in…

Q: Water flows steadily through a 2-in.-inside-diameter pipe at the rate of 200 gal/min. The 2- in.…

A: Inside diameter = 2 in. Flow rate = 200 gal/min.

Q: For a 8° curve track diverging from a main curve of 5° in an opposite direction in the layout of a…

A: 8o curve track, Main curve = 5o BG yard- Maximum speed V=45 km/hr, Permitted cant deficiency for…

Q: A circular shaft subjected to torsion undergoes a twist of 1° in a length of 120 cm. if the maximum…

A: A circular shaft under torsion : Twist θ=1o Length L=120 cm, Maximum shear stress- τmax=1000 kg/cm2…

Q: A tie bar with a tensile strength of 231MPa carries a load of 11kN. What must be the diameter of the…

Q: A RC beam of cross section 420mm x 600mm is subjected to a shear force of 100 KN and torsional…

A: RC beam dimensions 420 mm x 600 mm Shear force SF=100 kN Torsional moment T=40 kN-m It is needed to…

Q: How can civil engineers design and construct efficient and sustainable transportation systems, such…

A: Context: High speed trains or hyperloops

Q: Q5/ Determine the flowrate through the pipe in Fig. Pm= 900 kg/m³ 8 Water 2.5 m= h T .8m 0.08 m Q

Q: 3. The structure below is supported by a pin at A and a roller at E. Determine the pin reactions at…

A: The below structure figure is shown;

Q: The overhang beam is subjected to the uniform distributed load having an intensity of w = 50 kN/m.…

A: Overhang beam loaded with uniformly distributed load of 50 kN/m

Q: 3 m 10 kN 10 kN/m 3 m B

A: To draw Shear and moment diagram

Q: 4. For the beam shown, construct the Influence lines for Vc, VF, VG, V₁, VJ, VK, VL, MA, MC, MF, ML…

A: Construct Influence line diagram for VC, VF, VG, VI, VJ, VK, VL, MA, MC, MF, ML, MJ, MK

Q: The relation between speed u (km/hr) and density k (veh/km) is given by u = 70 - 0.7k.The capacity…

A: The relation between speed and density, u=70-0.7k, capacity of the road=?

Q: Figure 2 of 2 T Part D Specify the degree of indeterminacy. Express your answer as an integer.…

A: Determine the degree of Indeterminacy (DSI) of the frame.

Q: A continuous string ABCDE has weights suspended from it as shown in Fig Q3. Determine the tension in…

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

108
6. A simply supported beam, of diameter 12 mm, is loaded as shown in the
figure below. Using double integration method, determine the location of the
maximum deflection and magnitude of the deflection. Modulus of elasticity is
200 GPa for the beam material.
0.2m
20 N
B
0.3 m
mar
40 N/m
▬▬▬D
0.4 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: Free body diagram

VIEW

Step 2: Calculation of Reaction

Step 3: calculation

Step 4: calculation

Solution

Step by step

Solved in 5 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

Using the "Effects Overlay" of the original beam, using isostatic sub-beams and simulating them separately, the final deflection result of the sum of the 3 statically determined beams should be equal to the original beam deflection . Simulate the two overlapping beams separately. The carbon steel beam with a modulus of elasticity E = 200 GPa W = 2.5 ton/m P = 10 ton and it is at 1/4 L L = 20 m
Calculate the value of the deflection at point B due to concentrated load P in the form ??=??????????? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
Current Attempt in Progress For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of El = 27 x 106 lb-ft2 for the beam; wo = 7100 lb/ft, LAB= 6.5 ft, LBC = 14 ft, LcD = 8 ft. WO X LBC LCD LAB Answer: (a) OB = (b) vc = B rad in.
Question 1: Determine the deflection at the midspan for the given beam shown in the figure below, use double integration method. W = 30 KN/m L =3m %3D E-18GPA ;b=200 mm d:400 mmm
3. A steel beam is loaded as shown in the figure. Use conjugate beam method and determine the following: a. Slope at A b. Slope at B c. Displacement at the point of application of the 15kN load d. Displacement at C e. Location and maginitude of maximum deflection 15 kN 1.10 kN/ m 28 9/9 2 m 2 m 2 m
A propped cantilever beam is loaded by a bending moment of the magnitude M3 at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight / that are constant along the length of the beam L. The beam material's Young's modulus is Q. Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B o the absolute value of the reaction bending moment at point A
w=370 N/m 2.0 m -2.0 m R1 R2 What is the value of C1 in N.m2? Express your answer in 2 decimal places. Compute the value of Ely (N.m3) at midspan for the beam loaded as shown. Assume that downward direction is negative, upward direction is positive. Express your answer in 2 decimal places. What value of I (mm4) is required to limit the midspan deflection to 1/360 of the span if E = 10 GPa? Express your answer in 2 decimal places. Neglect the sign. w/
A steel beam is loaded as shown in the figure. Use conjugate beam method and determine the following: a. Slope at A b. Slope at B c. Displacement at the point of application of the 15KN load d. Displacement at C e. Location and maginitude of maximum deflection 15 kN 1.10 kN/m 2EI 2 m 2 m 2 m
An 8 m simple beam is loaded with a 228 kN point load at the first third of its length. The cross section of the beam is shown below. If the allowable stress is 200 MPa the thickness of the cross section is constantly t - 18 mm C t Y ▼ 2 Find the dimension c of the cross section such that it will satisfy the allowable stress. Select the correct response: 318.329 mm 290.593 mm 355.903 mm 263.312 mm
For the beam loaded as shown in the figure below, determine the following unknown using any geometric method. Consider 250 mm x 400 mm (b x h) section and E = 120 GPa. a. Deflection at C in mm. Enter absolute value only. a = 4.5m, b= 24kn/m, c = 3 5kn c kN b kN/m "a m FIGURE 5 For the beam loaded as shown in figure 5, determine the following unknown using any geometric method. Consider 250 mm x 400 mm (b x h) section and E-120 GPa. b. Slope at B in degrees, Enter absolute value only.
Consider the cantilever beam shown below under the action of a 3 kN point load and a 1 kNm moment applied at the free end as shown in the figure. The Young's modulus of the material is 200,000 N/mm2 and the second moment of area of the cross section is 10 mm4. The length of the beam is 2 m. Obtain the vertical deflection at the free end in mm (positive downwards). Round off your answer to the nearest mm. M 2 m-
Using the applied loading given in each case determine the deflections indicated. The relative values of Young’s Modulus of Elasticity (E), Second Moment of Area (I) and Cross−sectional area (A) are given in each case.