Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the modulus of elasticity E= 80 MPa Use the last three digits of your ID for the missing force P KN. 575 A 12 mm | B C 10 mm D P KN 45 kN 30 kN - 1m- 1.5 m Figure (1)
Q: A bar made of A-36 steel has the dimensions shown in Figure. If an axial force of P = 80 kN is…
A:
Q: Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide shown in (Figure…
A:
Q: 4. A 200 lb force P is exerted on the lever. What will be the deformation, in inches, in the 0.0630…
A:
Q: Determine the torsion from the following figure. The torsional moment varies in the form of a…
A: here, Tortiona is torque due t(x). here, from the t(x) graph. we can say that, at x=0 t=0 and slope…
Q: The cross-sectional area of the figure below is 0.5 in2. If E = 13 x 106 psi, calculate the total…
A:
Q: A solid steel post having a length of 3m and a diameter of 80 mm is subjected to pure torsion. a)…
A: Answer: (a) The torsional rigidity of the steel post is 321.7 × 109 N•mm2. (b) The torsional…
Q: Compute the deformation (change in length) of bronze (B) and steel (S) in the given diagram below,…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A: Shear stress : When an external force acts on an object, It undergoes deformation. If the direction…
Q: The stress-strain diagram for a steel alloy having an original diameter of 12 mm and a gauge length…
A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts. Kindly repost…
Q: 1. The bar is made out of steel and is loaded as shown in figure Fig. - 1. Determine the design…
A:
Q: Figure 5 shows a steel rod of 200 mm length (L) with modulus of elasticity, E = 200 GPa and…
A:
Q: The figure below is a schematic drawing of a shaft that supports two V-belt pulleys. The loose belt…
A: Given, The yield strength of the material, sy=300 MPa The ultimate strength of the material, su=520…
Q: The stress-strain curve for mild steel is shown in figure given below. Choose the correct option…
A:
Q: 3. A solid aluminum cylinder with an initial diameter of d = 10mm is under a compressive load P = 15…
A: Given data:
Q: A bar of varying square sections is loaded as shown in the figure. Determine the total elongation.…
A:
Q: Q6. A 2.25 m long solid bar (Lo) with a 32 mm diameter is placed under tension by a load (F) of 250…
A: GIVEN DATA- F=250KN L=2.25m D=32mm E=200GPa WE HAVE TO FIND CHANGE IN LENGTH
Q: For the figure below, Rod BC is made of A-36 steel and has a diameter of 50 mm. Determine the…
A:
Q: 2. The composite bars shown are firmly attached to unyielding supports. Determine the load P if the…
A: For the given composite beam horizontal movement = 0.272 mm To determine Value of load P if…
Q: A steel bar with the dimensions and cross section shown is suspended vertically. Three concentric…
A: The change in length due to 22250 N force is ∆L1=PLAE=22250×1+0.65+0.356.5×10-4×210×109=3.26×10-4 m…
Q: Q4 /B/ The stress-strain curve for four materials are shown in figure below. Which material…
A: From the stress - strain curve for the material C, it is observed that material C undergoes a large…
Q: 3. PROBLEM In the Figure shown, determine the deformation At B and C as required by a load P = 20…
A: To find : find the deformation of at B and C . Given : load P=20 kN E=70 GPa area A=900mm2 lenght…
Q: H.W.8 When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the…
A: Given:- ε2=2075 μm/m a=1.2m b=2.8m To find:- (a) Elongation of segment(2) (b) Strain in segment (1)
Q: Two rods support the rigid bar ABC as shown in the figure. A downwards load P of 50 kN is applied at…
A: Given:P=50 KNFor BD:L=600 mmE=73 GPaA=1250 mm2For CE:L=400 mmE=200 GPaA=750 mm2
Q: A steel bolt of 6 mm in diameter has a tensile load of 40 kN. Find the average tensile stress at the…
A:
Q: The horizontal member shown in the figure is loaded by 25 kN at E. It is supported by steel…
A: Permissible stress is stress, which produces due to pressure or forces which does not exceed the…
Q: aw the free body diagram of the system shown below b.) Formulate the different equations of stress…
A: To determine the total elongation in the bar.
Q: Two vertical steel rods support the rigid bar as shown. Initially, the rods are stress-free. Given…
A: given; →P=20KN =20*103N→E=200GPa =200*103MPa→lets take tension in rod B=TB→lets take tension…
Q: An aluminum specimen shown in Figure has a diameter of d0 = 25 mmand a gage length of L0 = 250 mm.…
A: Given Data Load, P=165000N Original diameter D0=0.025m original length L0=0.250m gauge length…
Q: 2. Two steel cables support an applied load of 100 kN as shown in the figure below. Determine the…
A: Given-Data:- P=100KN To- Find:- a) The deformation of member AC and BC b)The vertical and horizontal…
Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…
A:
Q: b) An aluminium rod is attached between a steel rod and a bronze rod as shown in Figure- 3. The…
A: Given data: The area of steel bar is As=550 mm2 The area of Aluminium bar is Aal=400 mm2 The area of…
Q: Determine the normal stress in bar (1) for the mechanism shown in Figure P1.9. The area of bar (1)…
A: GIVEN: WC=12 kN/mWD=30 kN/m Area of bar is 2,600 mm2 a = 7.5 m and b = 3.0 m TO FIND: Determine the…
Q: P1.30 Rigid bar ABC shown in Figure Pl.30 is supported by a pin at bracket A and by tie rod (1). Tie…
A: From trigonometry -
Q: The stress-strain diagram for a bar of steel alloy is shown. Determine: a) The modulus of Elasticity…
A: Note:-As per our company guidelines, we are supposed to answer only the first three sub-parts.…
Q: For the structure shown: P= 600 lb, a = 4 in, b 5 in, c = 7 in, L, = 8 in, L, = 9 in. The part ABCD…
A: Given data as per question Force = 600 lb Area of aluminium rod =2.8 in2 E of aluminium rod…
Q: Question 1 A steel bar with length of 4.5 m is subjected to forces as shown in the figure: 1.…
A: Given Data E=200 GPa L=4.5 m
Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…
A:
Q: Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure.…
A:
Q: A steel bar with length of 4.5 m is subjected to forces as shown in the figure: 1. Determine the…
A:
Q: 1.7C1 A. 1.4C1 B CI 0.9C1 Uniform plastic elongation Necking 4Riastic 4% 15% 35% Strain in %…
A:
Q: A steel bolt of 6 mm in diameter has a tensile load of 40 kN. Find the average tensile stress at the…
A: Step by step solution is given below
Q: The stress-strain curve for mild steel is shown in figure given below. Choose the correct option…
A: A graph is given which shows the stress strain curve for mild steel. To solve this problem, we will…
Q: Q1: A circular steel rod ABCD is loaded as shown below. Use the following data to Find the maximum…
A: The load in the bar CD is The load in the bar BC is The load in the bar AB is
Q: Barra 1 Barra 2 d 2d
A: Given, P = 1400 kN L = 5 m d = 80 mm E = 110 GPa v = 0.33
Q: 2. Two steel cables support an applied load of 100 kN as shown in the figure below. Determine the…
A: Given-Data:- Load=100KN To-Find:- a) The deformation of member AC and BC b) The vertical and…
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A: a= 1 mm b=200 mm G=1.5 GPa
Q: Q15. The rigid bar is supported by steel rods (E = 200,000 MPa) (AB, CD and EF) and hinge as shown…
A:
Q: As shown in the figure, a column has a 10-inch by 10-inch cross section. A compressive load P with…
A:
Q: The stress-strain curve for four materials are shown in figure below. Which material (A/B/C/D) has с…
A: Answers are as follows: 1. Material D (Least slope of a straight line in the stress-strain diagram)…
Step by step
Solved in 3 steps with 3 images
- The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
- Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
- A steel pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in. Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A = 2.0 in2 The stress-strain behavior of the aluminum may be represented approximately by the bilinear stress-strain diagram shown in the figure. Calculate the elongation S of the bar for each of the following axial loads: p = 8 kips, 16 kips. 24 kips, 32 kips, and 40 kips. From these results, plot a diagram of load P versus elongation S (load-displacement diagram).
- A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure). The angle between the inclined bars and the horizontal is a = 52°. The axial strain in the middle bar is measured as 0.036. Determine the tensile stress in the outer bars if they are constructed of a copper alloy having the following stress-strain relationship: