A utility hook is formed from a round rod of diameter dinto the geometry as shown below. What are the stresses at the inner and outer points at section A-A if L= 250 mm, Di= 75 mm. Assume diameter 5 mm ≤ d≤ 35 mm and force F to be 1658 N.

A utility hook is formed from a round rod of diameter dinto the geometry as shown below. What are the stresses at the inner and outer points at section A-A if L= 250 mm, Di= 75 mm. Assume diameter 5 mm ≤ d≤ 35 mm and force F to be 1658 N.

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 7.3.27P: A simply supported wood beam is subjected to point load P at mid-span. The stresses on element C are...

See similar textbooks

Similar questions

Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
Two steel rods are welded together (see figure): the seam is oriented at angle ? = 50°. The stresses on the rotated element are sx1=10 ksi, sy1= -12 ksi, and tx1y1= -5 ksi. Find the state of plane stress on the clement if it is rotated clockwise to align the x3 axis with the longitudinal axis of the rods.
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.
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.
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 palm tree weighing 1000 lb is inclined at an angle of 60º (see figure). The weight of the tree may be resolved into two resultant forces: a force P1= 900 lb acting at a point 12 ft from the base and a force P2= 100 lb acting at the top of the tree, which is 30 ft long. The diameter at the base of the tree is 14 in. Calculate the maximum tensile and compressive stresses et, and ec, respectively, at the base of the tree due to its weight.
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?
While drilling a hole with a brace and bit, you exert a downward force P = 25 lb on the handle of the brace (see figure). The diameter of the crank arm is d = 7/16 in. and it s lateral offset is b = 4-7/8 in. Determine the maximum tensile and compressive stresses e1, and e2respectively, in the crank.
‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.
A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.
Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.
A simply supported wood beam is subjected to point load P at mid-span. The stresses on element C are known to be ??x=-92 psi and txy= -7 psi. Find the principal stresses on the element and show them on a sketch of a properly oriented clement.