The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB shown below can be expressed by the equation t = (kx²) N-m/m, where x is in meters. If a torque of T = 50 N-m is applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of the shank. Assume the shank has a constant radius of 4 mm.

The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB shown below can be expressed by the equation t = (kx²) N-m/m, where x is in meters. If a torque of T = 50 N-m is applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of the shank. Assume the shank has a constant radius of 4 mm.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The assembly consists of two 10-mm diameter red brass C83400 copper rods AB and CD, a 15- mm…

A: Given data : To Find :

Q: The compound beam is pin supported at C and supported by a roller at A and B. There is a hinge (pin)…

A: Note:- As per our company policy in case of multiple parts questions, we can solve only first 3…

Q: The 56-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the…

A: The free body diagram of the cylinder is shown below.

Q: determine the deflection of the free end of the beam.

Q: In the bar shown below the force in the part AC is A 100 KN B

A: Bar : A Problem of Solid mechanics :

Q: The bolt in the figure below is 1 in. in diameter. If the load P is 10 kips, determine the average…

A: Given-Bolt diameter= 1 inchLoad, P=10kips

Q: daB TB Tc For the shafts shown, determine the angle of twist at B G = 45000 MPa K dạc LAB = 170 mm…

Q: Determine the resultant load on the most stressed bolt in the eccentrically loaded connections…

A: first find the moment M=Pewhere = p = acting loade=eccentricity of loadM=100×6M=600k-in now find…

Q: Consider two shafts one solid of mild steel of 200 mm diameter and another hollow of alloy steel of…

A: The diameter of the solid shaft is 200 millimeters.The outer diameter of the hollow shaft is 200…

Q: A prismatic bar is fixed at edges A and B as shown in figure. What is the axial force in CD portion?…

A: Given data- A prismatic bar fixed at edges A & B as shown- To Find- The value of the axial…

Q: Consider the structure shown in Figure 1). Assume the cornections A. B and C are pins. Suppose that…

Q: A 6 ft B AAB = 1 in Agr =2 in 1 ft P F- 2 t 2 ft Acp = 1.5 in? 6 ft D

Q: The group of 6-bolts connection subjected to eccentric load P=30 kips as shown in figure. The…

A: Given a bolted assembly, it is required to find the maximums hear force.

Q: = *5-68 The A-36 bolt is tightened within a hole so that the reactive torque on the shank AB can be…

A: Torsion Explanation:Step 1:Step 2:Step 3:Step 4:

Concept explainers

Connections

In steel structures, connections are the members that join two or more steel members. The connections are the most important members of any steel structure, and hence, they are designed more carefully. The majority of the construction cost of steel structures is incurred due to the connections. The design of connections is done as per the recommendations and specifications of the American Institute of Steel Construction (AISC).

Question

The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB shown below
can be expressed by the equation t = (kx² ) N-m/m, where x is in meters. If a torque of T = 50 N-m is
applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of the
shank. Assume the shank has a constant radius of 4 mm.
50 mm
T = 50 N-m

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: Determination of K

VIEW

Step 2: Determination of angle of Twist

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

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 = (kx²) N• m/m, where x is in meters. If a torque of T = 50 N · m is applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of the shank. Assume the shank has a constant radius of 4 mm. B >T = 50 N•m 50 mm dT = t dx 0.05m SON.M
The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. If a force of 60 kip is applied to the ring F, determine the horizontal displacement of point F.
Two plates with a thickness of 35mm, width of 160mm, and length of 200mm are joined together by a pin with a diameter of 60mm. 200 mm 60 mm P 160 mm T 35 mm 35 mm 200 mm 1) For a Factor of Safety of 2, find the maximum load P that can be applied if the bearing strength of the plate is 250MPA and the shear strength of the pin is 100MPA. Suppose that P is 140KN, the Modulus of Elasticity is 200GP,, and the Poisson's ratio is 0.3. 2) Determine the change in length of each plate. 3) Determine the change in width of each plate. 4) Determine the change in thickness of each plate.
The two shafts are made of A-36 steel. Each has a diameter of 21 mm and they are connected using the gears fixed to their ends. Their other ends are attached to fixed supports at A and B. They are also supported by journal bearings at C and D, which allow free rotation of the shafts along their axes. A torque of 500 Nm is applied to the gear at E as shown in the figure below. The shear modulus of elasticity for A-36 steel is 75 GPa. (Figure 1) Figure 50 mm 100 mm 1.5 m B 1 of 1 0.75 m 500 N-m Part A Determine the rotation of the gear at E. Express your answer using three significant figures. OF AΣo↓ vec PE=0.02897 Submit Previous Answers Request Answer Provide Feedback X Incorrect; Try Again; 8 attempts remaining ? rad
Determine the coordinates of the mass center of the welded assembly of uniform slender rods made from the same bar stock. a a a 1.20 a Answers: (X, Y,Z) = ( i ) a
If couple forces of F = 35 N are applied to the handle of the machinist’s vise, determine the compressive force developed in the block. Neglect friction at the bearing A. The guide at B is smooth. The single square-threaded screwhas a mean radius of 6 mm and a lead of 8 mm, and the coefficient of static friction is μs = 0.27.
fotografları görüntale + Şuraya ekle: % Düzenle ve Oluştur v 2 Paylas The pin is used to connect the three links together. Due to wear, the load is distributed over the top and bottom of the pin as shown on the free-body diagram. The diameter of the pin is d = 11.4 mm. (Figure 1) Part A Determine the maximum bending stress on the cross-sectional area at the center section a-a. For the solution it is first necessary to determine the load intensities w, and u2 Express your answer to three significant figures and include the appropriate units. ? Value Units Omax = Submit Reguest Answer Figure 1 of 1 > < Return to Assignment Provide Feedback 3600 N ti 25 mm 25 mm 40 mm 1800 N 1800 N
Show complete solution - Given, Required, Solution.
For the assembly shown, as the screw is tightened down, the strain in the horizontal direction at B is 900×106 m/m. What is the load P on the screw. E= 200 Gla.= of le 20 60 20mm hans s 201 Bo 40 Section a-a 104mm a← 120mm IT. at 300 mm →
Be quick please
I Review Part A The 60-mm-diameter shaft is made of 6061-T6 aluminum. (Figure 1) If the allowable shear stress is Tallow = 80 MPa, and the angle of twist of disk A relative to disk C is limited so that it does not exceed 0.035 rad, determine the maximum allowable torque T Express your answer to three significant figures and include the appropriate units. µA T = 3.7216 Units Figure Pearson
Part (b) (A hollow circular steel drive shaft has an outer radius of R mm and an inner radius of r mm as shown in Figure Q9-b. Figure Q9-b: Given that r-16, R-30 and the maximum allowable shear stress in the shaft is 75 N/mm2, calculate the maximum permitted torsional moment, T., that can be transmitted by the shaft. T: [(b)