A weight W is supported by an eyebar AC and a horizontal strut BC. The eyebar and the strut are pin connected at all joints. Their cross-sectional dimension are 6 mm x 50 mm and their modulus of elasticity is 200 GPa. See Figure AS- ST30. Given: L= 1.2 m $ = 30° w = 12 kN 46. Calculate the normal stress (MPa) in the eyebar. c. 90 MPa d. 100 MPa а. 70 МPа b. 80 MPa 47. Find the total change in length (mm) of the eyebar. c. 0.75 mm d. 0.85 mm a. 0.55 mm b. 0.65 mm 48. If the eyebar is replaced by a steel cable, what should be the cable diameter (mm) so that the maximum stress does not exceed 124 MPa? а. 12 mm с. 16 mm b. 14 mm d. 18 mm

A weight W is supported by an eyebar AC and a horizontal strut BC. The eyebar and the strut are pin connected at all joints. Their cross-sectional dimension are 6 mm x 50 mm and their modulus of elasticity is 200 GPa. See Figure AS- ST30. Given: L= 1.2 m $ = 30° w = 12 kN 46. Calculate the normal stress (MPa) in the eyebar. c. 90 MPa d. 100 MPa а. 70 МPа b. 80 MPa 47. Find the total change in length (mm) of the eyebar. c. 0.75 mm d. 0.85 mm a. 0.55 mm b. 0.65 mm 48. If the eyebar is replaced by a steel cable, what should be the cable diameter (mm) so that the maximum stress does not exceed 124 MPa? а. 12 mm с. 16 mm b. 14 mm d. 18 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.12.7P: A palm tree weighing 1000 lb is inclined at an angle of 60º (see figure). The weight of the tree may...

See similar textbooks

Similar questions

A steel post (E=30×106) having thickness t = 1/8 in. and height L = 72 in. support a stop sign (see figure), where s = 12.5 in. The height of the post L is measured from the base to the centroid of the sign. The stop sign is subjected to wind pressure p = 20 lb/ft2 normal to its surface. Assume that the post is fixed at its base. What is the resultant load on the sign? (Sec Appendix E, Case 25, for properties of an octagon, n =8.) What is the maximum bending stress in the post? Repeat part (b) if the circular cut-outs arc eliminated over the height of the post.
A large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L1 = 22 Ft, cable 2 has a length L2= 10 ft, and the distance along the panel between lift points Band D is d = 14 ft (see figure part b). The total weight of the panel is W = 85 kips. Assuming the cable lift Forces F at each lift line are about equal, use the simplified model of one half of the panel in figure part b to perform your analysis for the lift position shown. Find the required cross-sectional area AC of the cable if its breaking stress is 91 ksi and a factor of safety of 4 with respect to failure is desired.
A plane truss has joint loads P, 2P, and 3P at joints D. C, and B. respectively (see figure) where load variable P — 5200 lb. All members have two end plates (see figure For Prob. 1.8-2) that are pin-connected to gusset plates. Each end plate has a thickness/ — 0.6.2.5 in., and all gusset plates have a thickness tg= 1.125 in. IT the allowable shear stress in each pin is 12,000 psi and the allowable bearing stress in each pin is 18.000 psi, what is the minimum required diameter dminof the pins used at either end of member BE1
A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
Continuous cable A DB runs over a small friction less pulley al D to support beam OABC, which is part of an entrance canopy for a building (see figure}. The canopy segment has a weight W = 1700 lb that acts as a concentrated load in the middle of segment AB. (a) What is the maximum permissible value of load P at C if the allowable force in the cable is 4200 lb? (b) If P = 2300 lb, what is the required diameter of pins A, B, and D? Assume that the pins are in double shear and the allowable shear stress in the pins is 10 ksi.
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.
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
Q-1 ) A thin cylinder of inner radius 150 mm and thickness 9 mm is subjected to an internal pressure of 9 MPa. The average circumferential (hoop) stress in MPa is equal to ?
Truss members supporting a roof are connectedto a 26-mm-thick gusset plate by a 22-mm diameterpin, as shown in the figure and photo. The two endplates on the truss members are each 14 mm thick.(a) If the load P = 80 kN, what is the largest bearingstress acting on the pin?(b) If the ultimate shear stress for the pin is190 MPa, what force Pult is required to cause thepin to fail in shear?Disregard friction between the plates.
A hemispherical window (or viewport) in adecompression chamber (see figure) is subjected toan internal air pressure of 85 psi. The window isattached to the wall of the chamber by 14 bolts.(a) Find the tensile force F in each bolt and the tensilestress s in the viewport if the radius of thehemisphere is 14 in. and its thickness is 1.25 in.(b) If the yield stress for each of the 14 bolts is50 ksi and the factor of safety is 3.0, find therequired bolt diameter.(c) If the stress in the viewport is limited to 500 psi,find the required radius of the hemisphere.
A spherical pressure vessel is constructed by bolting two hemispheres together along rigid flanges as shown in the sketch. The sphere has an internal diameter of 1.5 m and the plate thickness is 5 mm. Allowable tensile stresses are 45 MPa in the shell and 80 MPa in the bolts. 1. Calculate the allowable gauge pressure 2. Determine the number of bolts required if the bolt diameter is 25 mm (Note: bolt root diameter = 0.84 × nominal bolt diameter) 3. A thin copper tube, 14 mm internal diameter and 0,5 mm wall thickness has closed ends and rotates at 1200 r/min while it is subjected to an internal gauge pressure of 222 Pa. Calculate the total hoop stress in the wall of the tube if the density of copper is 8900 kg/m3.
PROBLEM 2A tri metallic bar is uniformly compressed by an axial force P=12kN applied through a rigid end plate. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has a diameter 10mm, the brass tube has an oute diameter of 15mm and the copper tube has an outer diameter of 20mm. E for steel =210Gpa, E for brass =100GPa and E for copper is 120GPa. Calculate the compressive stress of each metal due to force P.