The beam shown in Figure 5 a is subjected to an uniform load w of 2 kN/m and has alength L of 4 meter. A cross section of the beam is shown in Figure 5 b. For the beamshown below:• Draw the shear force and bending moment diagrams.• Where does the maximum bending stress occur?• Where does the maximum shear stress occur?Find the maximum shear stress in the beamFind the maximum shear flow in the joint between the top board and theflange.LFigure 5 a4 cm1 cm1 cm6 cm1 cmFigure 5 b

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Answered: The beam shown in Figure 5 a is…

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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The cross-sectional dimensions of the beam shown in the figure are a = 4.9 in., b = 6.8 in., d = 4.5 in., and t = 0.30 in. The internal bending moment about the z centroidal axis is M2 = -3.65 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. b y (ур.) d a Answers: (a) Omax T psi (b) Omax C= psi
The cross-sectional dimensions of the beam shown in the figure are a = 4.0 in., b = 4.7 in., d = 4.1 in., and t = 0.30 in. The internal bending moment about the z centroidal axis is Mz = -3.90 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 34 MPa, Sy = 73 MPa, and Sxy = 30 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If 0 = 68 MPa, determine the principal stresses acting at the point. 114 MPa 66 MPa 157.9 MPa and -155.4 MPa 82.0 MPa and -83.7 MPa O 121.2 MPa and -138.0 MPa O 167.4 MPa and -98.1 MPa O 133.2 MPa and -131.2 MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If σ = 11 MPa in the direction shown, determine the principal stresses at the point. 28.6 MPa and -33.6 MPa 20.7 MPa and -42.4 MPa 39.6 MPa and -46.7 MPa 26.8 MPa and -35.8 MPa 34.2 MPa and -40.0 MPa
The cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b= 5.1 in., d= 4.3 in., andt= 0.33in. The internal bending mornent about thez centroidal axis is M, = -4.15 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. b y |(ур.) |d a Answers: (a) OmaxT psi (b) Omax C= psi
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 52 MPa, Sy = 63 MPa, and Sxy = 29 MPa.(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)(c) Compute the absolute shear stress at the point.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 480 psi in size. (a) Determine the stresses o,, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y
The frame supports the distributed load shown. Determine the state of stress acting at point E. Show the results on a differential element at this point. The section is composed of two materials where E₁ = 200 GPa, and E₂ = 150 GPa AC xxxx E. 4 kN/m -1.5 m 1.5 m--- -3 m 3 m BA 20 mm 60 mm 20 mm 5 m E 50 mm E₁ = 200 GPa E₂ = 150 GPa
The cantilever beam shown has a rectangular cross section with dimensions b = 25 mm and h = 100 mm, and is loaded by a force P that acts at the midheight of the beam and is inclined at an angle a as shown. The beam is made of steel with E = 200 GPa and v= 1/3. Two strain gages are placed at point C, which is also at midheight of the beam. Gage A measures the strain in the horizontal direction and gage B measures the strain at an angle ß= 60°. The measured strains are &a= 125 µɛ, &b = -375 με. Determine: a) The force P in kN [Ans. to check: P = 125 kN] b) The angle a in degrees. B b←
When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.18 in. In segment (2), the normal strain is measured as 1,650 pin/in. Assume L₁ - 34 in. and L₂-83 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. (1) Answers: (a) in.& (b) = 4 i B (2) 4₂ in, pin/in.

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