Consider the following figure.otoci(a) Determine the maximum tensile stress and maximum compressive stress (in MPa) due to the load P acting on the simple beam AB. Data are P = 6.3 kN, L = 3.3 m, d = 1.40 m, b = 80 mm, t = 25 mm, h = 120 mm,= 90 mm. (Use the deformation sign convention.)and h₁MPa=MPa=(b) Find the value of d (in m) for which tensile and compressive stresses are the largest. What are these stresses (in MPa)? (Use the deformation sign convention.)d =at =σ,mBMPa000MPa

Answered: Image /qna-images/answer/fa4c2d1a-d301-44f2-ab5b-02e191727d34.jpg

(a) Determine the maximum tensile stress and maximum compressive stress o (in MPa) due to the load P acting on the simple beam AB. Data are P = 6.3 kN, L = 3.3 m, d = 1.40 m, b = 80 mm, t = 25 mm, h = 120 mm, and h₁ = 90 mm. (Use the deformation sign convention.) at = MPa MPa %c = (b) Find the value of d (in m) for which tensile and compressive stresses are the largest. What are these stresses (in MPa)? (Use the deformation sign convention.) d= at = %c MPa MPa

(a) Determine the maximum tensile stress and maximum compressive stress o (in MPa) due to the load P acting on the simple beam AB. Data are P = 6.3 kN, L = 3.3 m, d = 1.40 m, b = 80 mm, t = 25 mm, h = 120 mm, and h₁ = 90 mm. (Use the deformation sign convention.) at = MPa MPa %c = (b) Find the value of d (in m) for which tensile and compressive stresses are the largest. What are these stresses (in MPa)? (Use the deformation sign convention.) d= at = %c MPa MPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...

See similar textbooks

Similar questions

Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
A punch for making a slotted hole in ID cards is shown in the figure part a. Assume that the hole produced by the punch can be described as a rectangle (12 mm X 3 mm) with two half circles (r = 1.5 mm) on the left and the right sides. If P = 10 N and the thickness of the ID card is 1 mm, what is the average shear stress in the card?
-11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.
A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure) and supports the bridge deck, which is Far below. The suspender is held in position by a metal tie that is prevented from sliding downward by clamps around the suspender cable. Let P represent the load in each part of the suspender cable, and let represent the angle of the suspender cable just above the tie. represent the allowable tensile stress in the metal tie. (a) Obtain a formula for the minimum required cross-sectional area of the lie. (b) Calculate the minimum area if P = 130 kN, = 75°, and allow=80 .
A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure). The center of gravity of each child is 8 ft from the fulcrum. The board is 19 ft long, 8 in. wide, and 1.5 in. thick. What is the maximum bending stress in the board?
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
Solve the preceding problem for a plate of dimensions 100 mm × 250 mm subjected to a compressive stress of 2.5 MPa in the long direction and a tensile stress of 12.0 MPa in the short direction (see figure).
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa and txy= 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa?