Pictured below is a smooth bar (no friction) held in position by a pin and contact with the wall on the left end and subjected to a vertical load P at the right end. Find the distance d that the force needs to be along the bar for equilibrium given the pin is a distance a away from the wall and the bar makes an angle 0 with the horizontal. The weight of the bar is negligible. (Hint: Use the three equations of equilibrium and solve for d. The values for a, e, and Pare constants.)

Pictured below is a smooth bar (no friction) held in position by a pin and contact with the wall on the left end and subjected to a vertical load P at the right end. Find the distance d that the force needs to be along the bar for equilibrium given the pin is a distance a away from the wall and the bar makes an angle 0 with the horizontal. The weight of the bar is negligible. (Hint: Use the three equations of equilibrium and solve for d. The values for a, e, and Pare constants.)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The 34-kg crate is stationary when the force Pis applied. Determine the resulting acceleration of the crate if (a) P = 0, (b) P = 115 N, and (c) P = 238 N. The acceleration is positive if up the slope, negative if down the slope. SH,=0.27 H=0.19 34 kg P 19°
Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has circular cross sections and length R. It is subjected to a distributed torque of intensity z per unit distance. The intensity varies linearly from z = 0 at the free end to a maximum value z = zo at the support. Express your answer in terms of maximum value zo , length R, shear modulus G and polar moment of inertia Ip . U =
The cross-sectional dimensions of a beam are shown. Assume b-1.875 in., t-tw-0.125 in. and d=2.75 in. (a) If the bending stress at point K is 3340 psi (T), determine the internal bending moment M₂ acting about the z centroidal axis of the beam. (b) Determine the bending stress o, at point H (positive if tension, negative if compression). H K Answers: bf (a) M₂ = i (b) σH = tw lb-ft. psi.
1.20 The hoisting rope for a mine shaft is to lift a cage of weight W. The rope is of variable section so that the stress on every section is equal to o when the rope is fully extended. If p is the density of the material of the rope, show that the cross-sectional area A at a height z above the cage is A ·(). = e pazla
/ The assembly consists of two 10-mm diameter steel rods AB and BC, and a rigid bar B. After applying the loads shown, determine: (1) The maximum normal stress developed in each rod. (2) The horizontal displacement of end C with respect to the fixed support at A. (3) Suppose that only rod BC is exposed to change in temperature, what would be the change that keeps point C in the original position. Use Est = 200GPA, xst= 12(10)-6 600 mm 400 mm 50 kN 40 kN B C 50 kN
Pictured below is a smooth bar (no friction) held in position by a pin and contact with the wall on the left end and subjected to a vertical load P at the right end. Find the distance d that the force needs to be along the bar for equilibrium given the pin is a distance a away from the wall and the bar makes an angle 0 with the horizontal. The weight of the bar is negligible. (Hint: Use the three equations of equilibrium and solve for d. The values for a, 0, and Pare constants.)
This is a mechanics of material question please show all steps clearly please show the given, what is to be found, and a free body diagram.
complete solution please 4 DECIMALS thank you Calculate the moment of inertia (in in^4). Calculate the bending stresses (in psi) at A. Calculate the bending stresses (in psi) at B. Calculate the bending stresses (in psi) at D.
A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.625 in. is subjected to internal pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure). (Assume that the structures behave linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) T T (a) Determine the maximum tensile stress o, and the maximum in-plane shear stress T in the wall of the cylinder. max max (Enter the magnitudes in ksi.) ksi = Tmax ksi (b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T? (Enter the magnitude in kip-ft.) | kip-ft (c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively, what is the minimum required wall thickness (in inches)? in.
3
b) A shaft consists of three-disks attached on the shaft as illustrated in Figure 5. The shaft is fixedat A and free to rotate in a bearing at its right end at E. Three-disks are located at B, C and D.The modulus of rigidity (G) for the shaft is 80 (Pa.Note: Shows all the assumptions and diagrams.i) Determine the torque that occurs on each segment of the shaft. Draw the torque diagram.ii) Calculate the angle of twist of section E relative to the fixed section A.iii) Calculate the torsional shear stress in each segment of the shaft.
Consider a structure consisting of two bars of identical circular cross section as shown in figure. Assume that joints A, B and C are hinges. If the vertical load P acts at a point on the horizontal bar at a distance s < l from the point C, determine: S В 45° (i) the maximum normal stress in the material. (ii) vertical deflection at the point of application of the load.