A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch. A H (1) T B

A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch. A H (1) T 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

Related questions

Q: The couple M = 23 kN-m is applied to a beam of the cross sec angle with the vertical. Determine the…

A: Given : M = 23 KNm and β =150 Find : stress at A, B ,D = ? Let the…

Q: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Take di = 30 mm,…

A: Determine the average normal stress at the midsection of rod BC.

Q: A steel pipe of 300-mm outer diameter is fabricated from an 8-mm-thick plate by weldingalong a helix…

A: Step 1:Step 2:

Q: The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of Tallow =60 MPa.…

Q: Q-1 The factor of safety for a machine element depends on the particular point selected for…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

Q: R14-9. The 60 strain ronette is mounted on a beam. The following readings are obtained for each…

A: Given: The 60 strain rosette is mounted on a beam. The following readings are obtained for each…

Q: C 1 ft 2 ft B 150 lb-ft/ft A 2 ft A copper pipe is tightly secured to the wall at C and a uniformly…

A: Objective: To determine the shear stress at point A. Given: Outer diameter of the pipe (D) = 3.5…

Q: A solid 1.20 in. diameter shaft is subjected to a torque of T = 230 lb-ft and an axial load of P =…

Q: Required information A cast-iron tube is used to support a compressive load of 3 kip. Given: E =…

Q: The 60° strain rosette is attached to point A on the surface of the support. Due to the loading the…

Q: A solid 2.40 in. diameter shaft is subjected to a torque of T = 330 lb-ft and an axial load of P =…

Q: The solid 1.25-in.-diameter rod is subjected to a uniform axial distributed loading along its length…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

A: Determine the shear strain y at corner Q' after deformation.

Q: What are appropriate relations established from the calculation of maximum shear stress in a thin…

Q: Part 2 * Your answer is incorrect. The z-component of momemt M will cause compression at A and B,…

Q: A channel-section has the dimensions as shown. Consider a cantilevered beam subjected to an and…

A: To determine- a) Normal stress distribution of the given section b) If…

Concept explainers

Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb.
(a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft.
(b) Show the stresses of part (a) and their directions on an appropriate sketch.
Answer:
(a) Op1 =
op2 =
i 20675.03
i
Tmax in-plane
-15518.77
18096.90
H
psi
psi
psi
T
B
P
x
(b) Show the stresses of part (a) and their directions on an appropriate sketch.

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: Stating given and to determine data

VIEW

Step 2: Determining stresses on H

VIEW

Step 3: Determining principal stresses

VIEW

Step 4: Solving for part (b)

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 9 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

Please show all steps so your process is easy to follow
A wooden frame shown below is supported by a tie rod CF and a pin support at A. The diameter of the tie rod CF is 30 mm, and the cross-sectional area of member BD is 900 mm?. The diameters of the pins at A and D are 8 mm and 12 mm, respectively, and each pin is subjected to double shear. If the weight of the bucket hanging from end E is 3 kN, determine (a) The axial stresses in tie rod CF and member BD. (b) The shear stresses in pins A and D. - 0.6 m-0.6 m→ D E 0.6 m V30B 1.2 m F
02: The rigid platform has negligible mass and rests on two steel bars, each 250.00 mm long. The center bar is aluminum and 249.90 mm long. Compute the stress in the aluminum bar after the center load P= 400 kN has been applied. For each steel bar, the area is 1200 mm2 and E= 200 GPa. For the aluminum bar, the area is 2400 mm2 and E 70 GPa Rigid platform Steel Ahmum Steel
Consider a cantilevered beam which is made of two identical. rectangular sections, a force P is applied at free end. 11) if A and B are not clued together, determine the bending stress distribution at a-a cross section, draw o Chint: each section carries P/ and label the Tout at the outest fibers. * 0.5m a 12) if we weld the two A & B together along the member length. determine the bending stress distribution, draw and laber. m ✓ P=1kw A 181- дет B зст
The shaft AB is formed by bonding steel tube and a brass core. Outer diameter of the steel tube is 60 mm and the diameter of the brass core is 30 mm. The shaft is subjected to uniform distributed torque o t kNm/m. The allowable shear stresses for steel and brass are (Tsteel)all = 80 MPa and (Tbrass)all = 50 MPa, respectively. Determine a) the maximum value of the uniform torque t , b) the corresponding angle of twist at A. (The shear modulus for steel and brass are Gsteel = 77 GPa and Gbrass = 40 GPa, respectively) - Steel Tube A t kNm/m B 30 mm 15 mm 1 m 1 m Brass Core Cross Section