The simply supported beam shown supports a uniformly distributed load of w = 50 kN/m. Assume x = 1.6 m, a = 3.5 m, b = 6.0 m, xk =2.5 m. The cross-sectional dimensions of the beam are b₁ = 305 mm, t₁ = 23 mm, d = 480 mm, tw = 14 mm, and y = 85 mm. Determinethe principal stresses and the maximum shear stress acting at point H. On a piece of paper, show these stresses on an appropriatesketch.ΧΗพbfHHBKУнXKУкbKatwd

Principal stress and maximum shear stress are determined Explanation:Step 1: Step 2: Step 3: Step 4:

Answered: The simply supported beam shown…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.4.18P: -18 through 7.4-25 An clement in plane stress is subjected to stresses ax,ay., and txy. (see...

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Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm. The dimensions of the sign are 2.0 m X 1.0 m, and its lower edge is 3.0 m above the base. Note that the center of gravity of the sign is 1.05 m from the axis of the pipe. The wind pressure against the sign is 1.5 kPa. Determine the maximum in-plane shear stresses due to the wind pressure on the sign at points /I, B, and C, located on the outer surface at the base of the pipe.
.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
-18 through 7.4-25 An clement in plane stress is subjected to stresses ax,ay., and txy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. 7.4-18 sx= 2900 kPa, sy= 9100 kPar,txy=-3750kPa
A composite square member of varying sizes is subjected to axial forces along its centerline, as shown. The members' cross-sectional dimensions, from smaller to larger, are 50 mm ´ 50 mm, 75 mm ´ 75 mm, and 100 mm ´ 100 mm, respectively. (a) What are the normal stresses (in MPa) induced in the bar material at Section A-A, Section B-B, Section C-C? (b) What are the changes in the axial (4.28 ft), width (100mm), and thickness (100 mm) direction (in mm), at Section C-C? Assume n = 0.25 and E = 200,000 MPa., 1 ft = 0.3048 m
2.) A steel pipe with an outside diameter of 110 mm and an inside diameter of 100 mm supports the loadings shown. Assume a = 460 mm, b = 250 mm, Px = 10 kN, Py = 10 kN, and Pz = 7 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. [σx = 0, σz = 64.6 MPa, τxz = -42.3 MPa]. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H. [σ1 = 85.5 MPa, σ2 = -20.9 MPa, τmax = 53.2 MPa]
1. Determine the stresses for a square stress element on top of CD at point D. The stress element is aligned with CD. Then determine the maximum normal and maximum shear stress at the same point for the stress element. CD is 36 mm in diameter and BC is 24 mm diameter. Both are solid. 2. For the beam shown determine the stress for a stress element on top, similar to point H, but at the wall A instead (centered on top at the wall). Then determine the maximum normal and shear stress for that stress element.
A bar of rectangular section shown in is subjected to stresses σx, σy and σz in x, y and z directions respectively. Show that if sum of these stresses is zero, there is no change in volume of the bar.
BP2) A 6" diameter pulley attached to a 1" diameter shaft of 2" length is supporting a load of 2000 lb. Moment at point b is 4,000 lb-in, Torque at point b is 6,000 lb-in, max bending stress at point b is 40.7 ksi, and max shear stress is 30.56 ksi. Determine principle stresses at point B.
The torque shown in the figure is exerted on pulleys A, B and C. If it is known that the AB axis is solid and the BC axis is a tube with an outer diameter of 40 mm and an inner diameter of 20 mm, determine the maximum shear stress on the AB axis and on the BC axis.
A sign is supported by a pipe (see figure)having an outer diameter 110 mm and inner diameter90 mm. The dimensions of the sign are 2.0 m 3 1.0 m,and its lower edge is 3.0 m above the base. Note that thecenter of gravity of the sign is 1.05 m from the axis ofthe pipe. The wind pressure against the sign is 1.5 kPa.Determine the maximum in-plane shear stressesdue to the wind pressure on the sign at points A, B, andC, located on the outer surface at the base of the pipe.
A simply supported wood beam is subjected to uniformly distributed load q. The width of the beam is 6 in, and the height is 8 in. Determine the normal stress and the shear stress at point C. Show these stresses on a sketch of a stress element at point C.

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