Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 5 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 5 mm in diameter. Assume a = 580 mm, b = 290 mm, h = 470 mm, and 0= 70%. If the normal stress in tie rod (1) cannot exceed 210 MPa and the shear stress in pin B cannot exceed 110 MPa, determine the maximum load Pmax that can be supported by the structure.

Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 5 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 5 mm in diameter. Assume a = 580 mm, b = 290 mm, h = 470 mm, and 0= 70%. If the normal stress in tie rod (1) cannot exceed 210 MPa and the shear stress in pin B cannot exceed 110 MPa, determine the maximum load Pmax that can be supported by the structure.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.9.11P: A ship's spar is attached at the base of a mast by a pin connection (see figure). The spar is a...

See similar textbooks

Similar questions

Solve the preceding problem if the mass of the tailgate is MT— 11 kg and that of the crate is hic— 6S kg. Use dimensions H = 305 mm, L = 406 mm, dc= 460 mm, and dT= 350 mm. The cable cross-sectional area is At= 11.0 mm'. (a) Find the tensile Force T and normal stress T in each cable. (b) IF each cable elongates
A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? Repeat part (a) for the post with cruciform cross section. Under the conditions described in parts (a) and (b), which post has the largest compressive stress?
A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is loaded by a linearly varying distributed force with maximum intensity of q0, Find the maximum shear stress in the pole.
An aluminum tube has inside diameter dx= 50 mm, shear modulus of elasticity G = 27 GPa, v = 0.33, and torque T = 4.0 kN · m. The allowable shear stress in the aluminum is 50 MPa, and the allowable normal strain is 900 X 10-6. Determine the required outside diameter d2 Re-compute the required outside diameter d2, if allowable normal stress is 62 MPa and allowable shear strain is 1.7 X 10-3.
A horizontal bracket ABC consists of two perpendicular arms AB of a length 0.75 m and BC of a length 0,5 m. The bracket has a solid, circular cross section with a diameter equal to 65 mm. The bracket is inserted in a friction less sleeve at A (which is slightly larger in diameter), so it is free to rotate about the r0 axis at A and is supported by a pin at C Moments are applied at point C M{=1.5 kN -m in the x direction and A/3 = L0 kN-m acts in the — z direction. Considering only the moments Mxand M2, calculate the maximum tensile stress t, the maximum compressive stress crc* and the maximum in-plane shear stress Tmax at point />, which is located at support A on the side of the bracket at mid-height
A cylindrical tank subjected to internal pressure/? is simultaneously compressed by an axial force F = 72 kN (see figure). The cylinder has diameter d = 100 mm and wall thickness t = 4 mm. Calculate the maximum allowable internal pressure /?max based upon an allowable shear stress in the wall of the tank of 60 MPa.
A bracket ABCD having a hollow circular cross section consists of a vertical arm AB{L = 6 ft), a horizontal arm BC parallel to the v0 axis, and a horizontal arm CD parallel to the -0 axis (see figure). The arms BC and CD have lengths b}= 3.6 ft and b2= 2,2 ft, respectively. The outer and inner diameters of the bracket are d-, = 7,5 in. and dx= 6,8 in. An inclined load P = 2200 lb acts at point D along line DH. Determine the maximum tensile, compressive, and shear stresses in the vertical arm
A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
A moveable steel stand supports an automobile engine weighing W = 750 lb, as shown in the figure part a. The stand is constructed of 2.5 in. x 2.5 in. x 1/8 in.-thick steel tubing. Once in position, the stand is restrained by pin supports at B and C. Of interest are stresses at point A at the base of the vertical post; point A has coordinates (x = 1.25, y = 0, z = 1.25) in inches. Neglect the weight of the stand. (a) Initially, the engine weight acts in the — z direction through point Q, which has coordinates (24, 0, 1.25) inches. Find the maximum tensile, compressive, and shear stresses at point A. (b) Repeat part (a) assuming now that, during repair, the engine is rotated about its own longitudinal axis (which is parallel to the x axis) so that Warts through Q [with coordinates (24, 6, 1.25) in inches] and force F = 200 lb is applied parallel to the y axis at distance d = 30 in
A square steel tube of a length L = 20 ft and width b2= 10.0 in. is hoisted by a crane (see figure). The lube hangs from a pin of diameter d that is held by the cables at points A and B. The cross section is a hollow square with an inner dimension b1= 8.5 in. and outer dimension b2= 10,0 in. The allowable shear stress in the pin is 8,700 psi. and the allowable bearing stress between the pin and the tube is 13,000 psi. Determine the minimum diameter of the pin in order to support the weight of the tube. Note: Disregard the rounded corners of the tube when calculating its weight.
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.
An aluminum pole for a street light weighs 4600 N and supports an arm that weighs 660 N (see figure). The center of gravity of the arm is 1.2 m from the axis of the pole, A wind force of 300 N also acts in the (y) direction at 9 m above the base. The outside diameter of the pole (at its base) is 225 mm, and its thickness is 18 mm. Determine the maximum tensile and compressive stresses o, and e1., respectively, in the pole (at its base) due to the weights and the wind force.