Concept explainers
The joint between a diagonal and a chord in a timber truss is shown. The compressive force P in the diagonal s 20 kN. Determine the compressive stress in the diagonal, the bearing stress on plane ab, and the shear stress on plane ac. Both the chord and the diagonal are 150 mm by 150 mm (full nominal size) in cross section.
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- 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.arrow_forwardSolve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPaarrow_forwardThe stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.arrow_forward
- A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.arrow_forward-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. aarrow_forwardA fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.arrow_forward
- Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.arrow_forwardThe state of stress on an element along the hydraulic lift cylinder on a truck is trv= — 5 MPaLFind the maximum shear stress on the clement and show the state of stress on a sketch of a properly oriented clement.arrow_forward, An arm A BC lying in a horizontal plane and supported at A (see figure) is made of two identical solid steel bars AB and BC welded together at a right angle. Each bar is 22 in. long. (a) Knowing that the maximum tensile stress (principal stress) at the top of the bar at support A due solely to the weights of the bars is 1025 psi, determine the diameter d of the bars. (b) If the allowable tensile stress is 1475 psi and each bar has a diameter d = 2.0 in,, what is the maximum downward load P that can be applied at C(in addition to self-weightarrow_forward
- The T-bracket is formed by welding together two cylindrical rods AB and CD. If the allowable shear stress is 80 MPa, what is the smallest allowable diameter of rod AB? Neglect the stress caused by the transverse shear forcearrow_forwardA compression load of P = 55 kips is applied to a 2 in. by 2 in. square post, as shown. Determine the normal stress σn perpendicular to plane AB and the shear stress τnt parallel to plane AB. Assume α= 30°.Calculate the normal force N perpendicular to the plane AB and the shear force V parallel to plane AB. Report both answers as positive numbers.Answers: N = kips, V = kips.arrow_forwardThe figure shows 16-mm diameter bolts used to hold two steel plates by fitting inside a cylindrical spacers. Thenormal stress must not to exceed 230 MPa in the bolts and 160 MPa in the spacer. Determine the outer diameterof the spacer.arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning