A cantilever beam, with a cross-sectionof an equilateral triangle with side320mm, carries a concentrated load anduniformly distributed load as shown inthe figure. Using Area Moment Method,Solve the following unknowns.Let P = 310KN, a = 1.2m, b = 3.5m andthe modulus of elasticity of beam is70GPA.NOTE: WRONG SIGN IS WRONG.WRONG UNITS IS WRONG.wAIf the moment at a point 3.5m from thefree end is equal to -1740.375kN-m,determine the value of "w".kN/mDetermine the maximum deflectionthe beam. (Note: Put a negative sigrthe deflection is going down)Determine the deflection at point 3.5mB. WRONG UNITS IS WRONG.wAIf the moment at a point 3.5m from thefree end is equal to -1740.375kN-m,determine the value of "w".kN/mDetermine the maximum deflection ofthe beam. (Note: Put a negative sign ifthe deflection is going down)Determine the deflection at point 3.5mfrom the free end. (Note: Put a negativesign if the deflection is going down)

Given: Distance a = 1.2 m and b = 3.5 m Moment at 3.5 from the free end, M=1740.375 KN.m Load P…

Answered: A cantilever beam, with a cross-section…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Q2: The simply supported beam shown as Figure 5. below is subjected to Loading as shown on the Figure. Using integration method. Find the maximum Lenght (L) so that the max. deflection is not greater than 30mm for the Beam.. The flexural rigidity (El) of Beam section El = 50*10% KN.m? “4m e | Sm
The cantilever beam has a steel cable of circular cross-section area at the end. What is the area of the cable’s cross section area if there is no observed deflection at point B? The modulus of elasticity of both beam and cable is 200GPa, and the beam is a steel section with I = 120 x 106 mm4 (Hint: recall axial deformations) USE THE DOUBLE INTEGRATION METHOD.
A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. The cross-sectional dimensions of the beam are also shown. Answer the Following: A. Determine the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths. B. determine the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. Express your answer in MPa rounded to the nearest tenths. C. determine the bending stress at point H (positive if tensile and negative if compressive). Express your answer in MPa rounded to the nearest hundredths. D. determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures. E. determine the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures.
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
A sandwich beam having steel faces enclosinga plastic core is subjected to a bending momentM = 5 kN . m. The thickness of each steel face ist = 3 mm with modulus of elasticity Es = 200 GPa.The height of the plastic core is hp =140 mm, andits modulus of elasticity is Ep = 800 MPa. The overalldimensions of the beam are h =146 mm andb =175 mm.Using the transformed-section method, determinethe maximum tensile and compressive stressesin the faces and the core.
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, and (b) the deflection at B. Assume that EI is constant for the beam. Let w = 8 kN/m, L = 6.0 m, E = 180 GPa, and I = 115 x 106 mm4Answer:(b) vB = Type your answer here mm
Q2: The simply supported beam shown as Figure 5. below is subjected to Loading as shown on the Figure. Using singularity function method. Find the maximum Lenght (L) so that the max. deflection is not greater than 30mm for the Beam.. The flexural rigidity (El) of Beam section El = 50*103 KN.m?2 “4m L Sm
Problem Solving. 1. The maximum bending moment for a 4 meters freely supported beam has been found to be 15 kN-m. If the allowable bending stress is 9 MPa, design the beam with respect to bending. Use E = 12,000 MPa a. a. Investigate if the computed dimensions will not exceed the allowable shearing stress of 0.90 MPa. b. Investigate if the computed dimensions will not exceed the allowable deflection of L/360. w (kN/m) 4m
A saw-tooth loading is applied as shown in the figure. The flexural stiffness (EI) of the beam is 1×10³ kN m², determine the following (using the Macaulay's method): the free body diagram q = 24 kN/m² 1 m B 1m 2 m C---- 2 m
A cantilever beam, with a cross-section of an equilateral triangle with side 320mm, carries a concentrated load and uniformly distributed load as shown in the figure. Using Area Moment Method, Solve the following unknowns. Let P = 200KN, a = 1.2m, b = 4m and the modulus of elasticity of beam is 120GP.. NOTE: WRONG SIGN IS WRONG. WRONG UNITS IS WRONG. B A a b If the moment at a point 4m from the free end is equal to -2280KN-m, determine the value of "w". kN/m Determine the maximum defiection of the beam. (Note: Put a negative sign if the defiection is going down| Determine the deflection at point 4m from the free end. (Note: Put a negative sign if the deflection is going down)
A double tee cross section is used for the beam shown below. Assume the following lengths and loads: a = 14 ft b = 7 ft c = 9 ft P = 8000 lb Q= = 3000 lb The moment of inertia of the cross section is l₂ = 110 in.4. Determine the magnitude (i.e., the absolute value) of the maximum tensile bending stress in the beam. Answer: a Omax (Tension) = i P V B b C psi C q x TT ↑ 3.2 in. 5.8 in.
A simply-supported beam of length 3L is. subjected to the loading shown in the figure. P L P L L It is given that P = 1 N, L = 1 m and Young's modulus E 200 GPa. The cross- section is a square with dimension 100 mm. The bending stress (in Pa) at the point A located at the top surface of the beam at a distance of 1.5L from the left end is (Indicate compressive stress by a negative sign and tensile stress by a positive sign).

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