Don't copy & correct solution Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis applied to the free end ofaluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.45 in. Aluminum rod (2) has anelastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.70in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strengthof the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1= 6 ft, L2= 8 ft, and L3 = 3 ft.(a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.7 is required.(b) Determine the deflection of point D for the load determined in part (a).(c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pinconnection, determine the minimum pin diameter that can be used at B.Aluminum(2)BronzeL2(1)bABCAluminumL3(3)D

Answered: Image /qna-images/answer/7c7216a2-8d8c-46c6-be99-79b38d8ac8e4.jpg

(a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.7 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.

(a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.7 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.

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

Rigid bar ABC is supported by bronze rod and aluminum rod as shown in the figure. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod has an elastic modulus of 15,000ksi and a diameter of 0.65in. Aluminum rod (2) has an elastic modulus of 10,000ksi and a diameter of 0.85in. Aluminum rod (3) has a diameter of 1.20in. The yield strength of the bronze is 52ksi, and the yield strength of the aluminum is 42ksi.a. Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.70 is required.b. Determine the deflection of point D for the load determined in question (a).c. The pin used at B has an ultimate shear strength of 56ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.
Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.60 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.70in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2 = 8 ft, and L3 = 3 ft.(a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 2.2 is required.(b) Determine the deflection of point D for the load determined in part (a).(c) The pin used at B has an ultimate shear strength of 50 ksi. If a factor of safety of 3.4 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.
The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods wereinitially stress-free, what is the largest load P that can be applied without exceeding stresses of 182 MPa in the steel rod and 60 MPa in the bronze rod? D = 0
The wire BC has a diameter of 0.175 in. and the material has the stress-strain characteristics shown in the figure. Determine the vertical displacement of the handle at D if the pull at the grip is slowly increased and reaches a magnitude of (a) P= 480lb, (b) P= 700lb. Assume the bar is rigid.
a uniform bar 1 is connected to a tapered rod 2. both are subjected to axial loads as shown. if P=7 kN, determine the axial deformation of tapered rod 2 (in mm). indicate negative sign if compression
A beam is supported by a column 3 m tall with dimensions a x 1.5a as shown above. The column is fixed at the base and pinned to the beam. Assume a Young’s modulus of ? = 25 GPa and yield strength of ?? = 20 MPa for the column.a) Draw the SFD and BMD for the beam and determine the axial load acting on the column.b) What is the minimum value of “a” that would not result in buckling of the column?c) If the column was instead fixed to the beam, how would this change the minimum value of “a”?
Rigid bar ABC is supported by member (1), which has a cross-sectional area of 0.6 in.2, an elastic modulus of E = 10000 ksi, and a coefficient of thermal expansion of α = 12.1 × 10−6 /°F. Assume that a = 95 in., b = 40 in., and c = 135 in. After load P is applied to the rigid bar and the temperature rises 80°F, a strain gage affixed to member (1) measures a strain increase of 2902 με. Determine the magnitude of applied load P. Note: Assume the strain measuring system does not automatically compensate for temperature changes.
The rigid bar AD is attached to two springs of constant k and is in equilibrium in the position shown. Knowing that the equal and oppo-site loads P and P′ remain vertical, determine the magnitude Pcr of the critical load for the system. Each spring can act in either tension or compression
Highway Loads: Uniform Load = 70 kN/m Concentrated Load = 120 kN Calculate for the maximum compressive force developed on Member CD in kN Calcualte for the maximum tensile force developed on Member CD in kN
A rigid bar with negligible mass is pinned at O and attached to two vertical rods, figure 1. Assume therods are initially stress-free.a) Solve to determine the maximum load P that can be applied without exceeding stresses of 120MPa in the steel rod, 70 MPa in the aluminum rod and the vertical movement of end C islimited to 5 mm.b) Solve to determine the shearing stress in the pin at O. The pin diameter is 20mm.
Compute the deformation in member 1 which is solid alumnim with a area of 214159 mm^2
A rigid plate C is used to transfer a 20-kip load P to a steel (E = 30,000 ksi) rod A and to an aluminum alloy (E = 10,000 ksi) pipe B as shown. The supports at the top of the rod and the bottom of the pipe are rigid, and the materials were unstressed before the load was applied. The cross-sectional areas of rods A and pipe B are 0.80 in2 and 3.00 in2 respectively. Determine The normal stress in rod A in ksi, The normal stress in pipe B in ksi and The displacement of plate C in inches. Note: Draw the Free Body Diagram, include the units/dimensions, use the proper formula and round-off all the answers and final answers to 5 decimal places.