The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t = (kz²/³) N-m/m, where z is in meters. A torque of T-50 N-m is applied to the bolt head. Assume the shank has a constant radius of 7 mm. The shear modulus of elasticity for A-36 steel is 75 CPa. (Figure 1) 50 -7-50 Nm Determine the constant k. Determine the amount of twist in the 50-mm length of the shank

The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t = (kz²/³) N-m/m, where z is in meters. A torque of T-50 N-m is applied to the bolt head. Assume the shank has a constant radius of 7 mm. The shear modulus of elasticity for A-36 steel is 75 CPa. (Figure 1) 50 -7-50 Nm Determine the constant k. Determine the amount of twist in the 50-mm length of the shank

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Attention !!!! Please clarify this . When they go to calculate both the normal stress of the bolt…

A: Step 1: Step 2: Step 3: Step 4:

Q: The shaft is made of A-36 steel. It has a diameter of 38 mm and is supported by bearings at A and D,…

A: Given, Shear modulus, G=75 GPa=75×109 Pa Length of shaft BC is, LBC=0.75 m The diameter of the…

Q: The drill shown is jammed in the wall and is subjected to the torque and force shown in the diagram.…

A: Given

Q: In (Figure 1), F = {35i - 40j +60k} lb. Figure 401 1 of 1 > Part A Determine the magnitude of the…

Q: A steel [E = 200 GPa] rod with a circular cross section is 14-m long. Determine the minimum diameter…

A: Given:E=200 GPaL=14 mP=37 KN∆L=5 mm

Q: The steel bolt and anchor assembly is used to reinforce the roof of a passageway in an underground…

Q: re B 400 mm Sk ← 55 400 mm 60 kN ▾ Part A If the 20-mm-diameter rod is made of A-36 steel and the…

A: To find: The deflection in the rod. Given: The diameter of the rod is d=20 mm. The stiffness of the…

Q: A shaft is made of an aluminum alloy having an allowable shear stress of Tallow=116 MPa. (Figure 1)…

Q: Determine the shear stress Try that acts at point A. Express your answer to three significant…

A: Solution: GIven Data: d = 40 mm Fx = 1350 N Fy = 540 N Fz = 920 N

Q: The solid shaft has a diameter of 0.85 in . It is subjected to the torques shown in the figure…

Q: A hollow shaft of outer and inner diameters respectively equal to 0.6 in. and 0.2 in. is fabricated…

A: Torque required to twist the shaft is 20.525 lb-in.Explanation:

Q: A circular rod of length 18 cm and diameter 5 mm is made of grade 1045 grade steel. a. Calculate the…

Q: Two 2 by 4 cm 1062 steel bars are butt-spliced with two 3 by 4 cm 1016 splice plates using six M14…

A: We have to find the correct formula for finding shear stress

Q: The stresses shown in the figure act at a point on the free surface of a machine component. If o =…

A: Need to determine normal stress σn or ( σx ) In the given answer normal stress is shown by σn Data…

Q: A recently developed Afordium, a new, inexpensive alloy for use in the d. the normal stress in…

A: Given that , AB=600mmBC=400mmAAB=7.5×10-4m2ABC=3×10-4m2

Q: A shaft is made of an aluminum alloy having an allowable shear stress of Tallow = 116 MPa. (Figure…

A: Introduction In this problem, we will use the shaft's generalized torsion equation to find the…

Q: Determine the displacement of A. Express your answer to three significant figures and include…

Q: Note: J3 = J2 G3 = G2 36 mm 0.99x10° mm* (1) 4 kN-m 70 GPa (2) 32 mm (3) 1.65x10 mm“ B 1000 mm C 20…

Q: A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected…

A: Given data as per the question Torque subjected to the shaft= 680 N.m The diameter of the steel rod…

Q: Problem 4. The structure in the figure is composed of two rigid bars (AB and CD) and two vertical…

A: The free-body diagram of the beam is as shown below, Assumption: Let the length of aluminum and…

Q: A steel shaft with a length of 3.00 m. One meter of the steel is contained in a brass tube and…

Q: Please solve this question carefully and circle the final answer with the correct units use the…

A: Given that , D=30 mm E =73.1GPa Triangular distributed axial load .

Q: The 21-mm-diameter A-36 steel rod is subjected to the axial forces shown. Take E = 200 GPa. (Figure…

A: Given Data D=21 mm E=200 GPa LAB=600 mm LBC=400 mm

Q: End condition total coils wire dia spring index material G squared & ground 14 2.2 mm 10 Hard-drawn…

A: free length l=65mmtotal number of turns nt=14wire diameter d=2.2mmspring index c=10G=80GPa=80 x…

Q: At a critical point in a component, the state of stress is given as Oxx = 100 MPa, Oyy = 220 MPa,…

Q: The steel shaft is made from two segments AC has a diameter of 0.5 in, and CB has a diameter of 1 in…

A: The diameter of the AC section is .The diameter of the CB section is .The modulus of rigidity is

Q: Part 1) Find the magnitude of shear and normal stresses from the loads shown. The cross section of…

A: Solution: Given Data: P = 400 N T = 1.8 N-m d = 8 mm

Q: A steel [E=200 GPa] rod with a circular cross section is 10 m long. Determine the minimum diameter…

A: Given data as per question Length of the bar =10 m Tensile force = 260 kN we know thatNormal stress…

Q: the Am1004-T61 magnesium tube is bonded to the A-36 steel rod. the allowable shear stresses for the…

A: Write the expression of angle of twist.

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the
equation t = (kz²/³) N-m/m, where z is in meters. A torque of T-50 N-m is applied to the bolt head. Assume the
shank has a constant radius of 7 mm. The shear modulus of elasticity for A-36 steel is 75 CPa. (Figure 1)
50
-7-50 Nm
Determine the constant k.
Determine the amount of twist in the 50-mm length of the shank

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given and what to find

VIEW

Step 2: polar modulus

VIEW

Step 3: find k

VIEW

Step 4: twist equation

Step 5: expression

Step 6: integration

Solution

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

In a volume element with dimensions dx, dy, dz the negatíve y-face has a 2 MPa stress in the positivex-direction, a 3 MPa stress in the negative z-direction, and a 4 MPa stress in the negative y-direction. Which of the following describes the stresses per elasticity convention? Oy = 4 MPa Oyr = -2 MPa Oyz = 3 MPa Oy = -4 MPa Oye = 2 MPa Oyz = -3 MPa Oy = 3 MPa Oye = -4 MPa Oyz = 2 MPa =4 MPa Oyr = 2 MPa Oyz = -3 MPa
The 24-mm-diameter A-36 steel rod is subjected to the axial forces shown. Take E = 200 GPa. (Figure 1) Figure 600 mm B 400 mm 50 kN 50 kN C 40 kN 1 of 1 > ▾ Part A Determine the displacement of end C with respect to the fixed support at A. Express your answer to three significant figures and include the appropriate units. dc = Submit μA Value Provide Feedback Request Answer Units ? 4
E. Rigid bar AD is horizontal before the weight of 112 lb is applied to the end of wire BC at C. The wires have a radius of 0.025" and are made of A913 steel. Determine the rotation of AD and how far C will move down due to application of the weight See Appendix of text for any material properties needed. Ans: 0.00071 radians 3 ft - 2 ft -3 ft- D B 4 ft W
5. Determine the diameter of a tensile member of a circular cross-section. The following data is given : Maximum tensile load = 10 kN; Maximum compressive load = 5 kN; Ultimate tensile strength = 600 MPa; Yield point = 380 MPa; Endurance limit = 290 MPa; Factor of safety = 4; Stress concentration [Ans. 24 mm] factor = 2.2
Calculate the axial deformation of point C and D? (D=36mm)
The beam is horizontal and the springs are unstretched when there is no load on the beam. Suppose that k = 1 kN/m and kB = 2 kN/m (Figure 1) Figure KA 00000 3 m 600 N/m 3 m B - ANNA < 1 of 1 KB D Part A Determine the angle of tilt of the beam when the load is applied. Express your answer in degrees to three significant figures. 17 ΑΣΦ 0= 0.052rad Submit vec Provide Feedback Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ?
only Handwritten answer needed please. not typed
The rigid beam shown in Figure AN- 12 is suspended by three cables. The beam is horizontal prior to being connected to the cables and is to remain horizontal after being attached to the cables. The beam weighs 176.4 kN. 0.6 m Steel A 600 mm E 200 GPa Bronze A 900 mm E- 83 GPa Steel A= 600 mm E 200 GPa 1.0 m Figure AN-12 Which of the following most nearly gives the ratio of the force in the bronze cable to the force in the steel cables?
answer quickly