1-61 The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm² and 8 mm², respectively. If d = 1 m, determine the average normal stress in each rod. 1-62 The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm² and 8 mm², respectively. Determine the position d of the 6-kN load so that the average normal stress in each rod is the same. B A 6 kN 3 m D

1-61 The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm² and 8 mm², respectively. If d = 1 m, determine the average normal stress in each rod. 1-62 The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm² and 8 mm², respectively. Determine the position d of the 6-kN load so that the average normal stress in each rod is the same. B A 6 kN 3 m D

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 truss shown consists of wooden members. Knowing that each member has a 75 x 75 mm. square…

Q: 12 B D 6 kN A 3m The beam is supported by two solid rods AB and CD, both rods have the same…

Q: The bell-crank mechanism is in equilibrium for an applied load of P = 40 kN. Assume that a = 300 mm,…

Q: The bar in figure has a constant width of 30 mm and a thickness of 20 mm. Determine the maximum…

A: The width of the bar = 30 mm The thickness of the bar = 20 mm To determine:-The maximum average…

Q: The solid 1.85-in-diameter rod is subjected to a uniform axial distributed loading along its length…

A: We will calculate effective load at each section.

Q: Each of the four vertical links has an 8 X 36-mm uniform rectan- gular cross section, and each of…

Q: Determine (a) the maximum bending stress, (b) the maximum shearing stress due to V in the simply…

Q: The rod has a diameter of 40 mm. It is subjected to the force system Fx=1300 N=1300 N, Fy=500 N=500…

A: The diameter of the rod, D = 40mmThe force at the free end, Fx=1300 N, Fy=500 N, Fz=800 N The rod is…

Q: Determine the maximum stress of the plate. rivet hole diameter= 2 cm • width of the plate= 6 cm •…

A: Given data Diameter of hole (do) = 2cm = 20 mm Width of plate (B) = 6 cm = 60 mm Un-axial tension…

Q: The truss shown consists of wooden members. Knowing that each member has a 50 x 50 mm square…

A: Determine the maximum value of the average normal stress in (a) in member BD, (b) in member DE.

Q: (1) (2) Tc A B C L1 L2

Q: For the state of plane stress (a) constructed Mohr's circle (b) determine the principal 40 MPa.…

Q: THE BARS OF THE TRUSS EACH HAVE A CROSS-SECTIONAL AREA OF 100 mm?. IF THE MAXIMUM AVERAGE NORMAL…

A: Use method of section

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: The solid 1.15-in.-diameter rod is subjected to a uniform axial distributed loading along its length…

Q: The bell crank is in equilibrium for the forces acting in rods (1) and (2). The bell crank is…

A: For the given bell crank:

Q: PROBLEM 2) The rigid bar ABC shown is hinged at A and supported by a steel rod at B. 8) Determine…

Q: determine the maximum load P that can be supported by the structure.

A: The values and diagram given in the question are as follows: The cross-section area of bar-1(A1)=125…

Q: A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional…

Q: Q5) If the case of stress is maximum shear stresses, then the normal stresses (ox and oy) are ......…

Q: The steel pipe AB has a 64-mm outer diameter and a 5-mm wall thickness. Knowing that arm CDE is…

Q: 3. A steel rod of 2 cm diameter and 5 m long is connected to two grips and the rod is maintained at…

Q: 300 mm is applied to the bell crank. B -450 mm- (a) Determine the normal stress developed in e 10mm…

Q: Determine the maximum stress of the plate.

A: Given, Determine the maximum stress of the plate. Rivet hole diameter.d= 2 cm Width,b= 6 cm…

Q: The rectangular bar has a width of w= 2.75 in. and a thickness of t = 2.00 in. The normal stress on…

A: Given : W = 2/75 in. t = 2.00 in Normal stress on plane AB of the rectangular block is 6ksi

Q: Determine the maximum stress of the plate. rivet hole diameter= 2 cm • width of the plate= 6 cm •…

Q: For the link shown in the figure, the thickness of the link is 50 mm. Given that the force P= 40 kN,…

Q: Determine the maximum stress of the plate. • rivet hole diameter= 2 cm • width of the plate= 6 cm •…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of…

Q: The rectangular bar carries a load of P = 127 kN and is connected to the support bracket with a…

A: As said, the pin experiences double shear, Shear stress is given by ;Since, double shear so,…

Q: The bell crank is in equilibrium for the forces acting in rods (1) and (2). The bell crank is…

Q: The solid shaft is fixed to the support at C and subjected to the torsional loadings shown.…

Q: Ata point in a stressed body, the known stresses are o, = and T = 0, Determine a) the normal and…

Q: The solid 0.95-in.-diameter rod is subjected to a uniform axial distributed loading along its length…

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

Q: The solid circular rod has a cross-sectional area of 470 mm². It is subjected to a uniform axial…

Q: Question 1. The plane NN' makes an angle 0-30" with respect to the cross section of theprismatic bar…

Q: The cross sectional area of the bar ABCD is 550 mm2. F1 = 25 kN, F2 = 20 kN, F3 = 35 kN. F1 F2 F3 Be…

Q: печ Two horizontal 7.5-kip forces (P) are applied to pin 8 of the assembly shown. A 0.8-in. diameter…

A: Given data - Force (P) = 7.5 kip Diameter of Pin = 0.8 in Find out - a) Determine the maximum value…

Q: The bell crank is in equilibrium for the forces acting in rods (1) and (2). The bell crank is…

Q: The d - 16-mm-diameter solid rod passes through a D=21-mm-diameter hole in the support plate. When a…

Q: Determine the moment M that should be applied to the beam in order to create a compressive stress at…

Q: Determine the maximum stress of the plate. rivet hole diameter= 2 cm width of the plate= 6 cm…

Q: 1.1 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that…

Q: The solid 1.55-in.-diameter rod is subjected to a uniform axial distributed loading along its length…

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

1-61 The uniform beam is supported by two rods AB and
CD that have cross-sectional areas of 12 mm² and 8 mm²,
respectively. If d = 1 m, determine the average normal stress
in each rod.
1-62 The uniform beam is supported by two rods AB and
CD that have cross-sectional areas of 12 mm² and 8 mm²,
respectively. Determine the position d of the 6-kN load so
that the average normal stress in each rod is the same.
B
A
6 kN
3m
D

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: State the given data

VIEW

Step 2: Determine the average normal stress in each rod.

VIEW

Step 3: Determine the position d of the 6KN load

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 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 solid circular rod has a cross-sectional area of 440 mm². It is subjected to a uniform axial distributed loading along its length of w = 9 kN/m. Two concentrated loads also act on the rod: P = 7 kN and Q=5 kN. Determine the normal stress in the rod at x = 0.4 m. Assume a = 0.5 m and b=0.9 m. a Answer: σ= i B MPa O
All forces applied in the system are in the (x - y) plane. The material point B at the top of the beam is rotated at an angle of 15° counterclockwise. It is required that the shear stress is 17.5 MPa for this rotated material point B. At the bottom point A of the beam it is required that the maximum tensile stress is 110 MPa. Determine the load P and the length d that satisfies these constraints defined for points A and B. Given data: L= 4 b, t = b / 25, c = 2b, b = 1000 mm, e = 12, f=5 b/4- q = 2P/L b/ 4 -b/4- P
Determine the maximum stress of the plate. rivet hole diameter= 2 cm • width of the plate= 6 cm • uni-axial tension of 55 MPa.
The bronze shaft is formed by attaching a hollow shaft to a solid shaft. The allowable shear stress of bronze is 100 MPa. Use G = 35 GPa for bronze. a. If the torque applied is 15 kN m, determine the maximum shearing stress developed in the bronze shaft b. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 100 MPa or an angle of twist of 3.5 in the 3.5-m length.
Problem 2. [Concepts: Internal forces in 2D and average normal stress] The bars of the truss each have a cross-sectional area of 1.25 in². a) Determine the average normal stress in each member due to the loading P = 8 kip. State whether the stress is tensile or compressive. b) If the maximum average normal stress in any bar is not to exceed 20 ksi, determine the maximum magnitude P of the loads that can be applied to the truss. 4 ft 4 ft 4 E 0.75 P 0
Determine the moment M in kN-m that must be applied to the beam to create maximum stress of 98 MPa. Where tf = 19 mm and d = 306 mm
The solid shaft is fixed to the support at C and subjected to the torsional loadings and axial load P as shown. a. Determine the torsional shear stress at Point A (50mm from the center) and Point B (on the Surface) b. Determine the absolute maximum torsional shear stress in the shaft. c. sketch the state of stress at point A and draw its corresponding Mohr’s Circle of stress. compute the principal stresses and maximum in-plane stress. T=10.38kN-m
Q.2 A force F is applied to a rigid beam AB. The diameter of the deformable 2х X post AC is 20 mm and diameter of the deformable post BD is 10 mm. A B F= 60 (kN) and x = 1.2 (m) E=70 GPa for the posts AC and BD. 1m 1m C Calculate the followings a) Normal stresses at post AC and BD b) Normal strains at post AC and BD c) Deformations at post AC and BD d) Angle of tilt that occurs in Beam AB.
The solid 1.85-in.-diameter rod is subjected to a uniform axial distributed loading along its length of w = 925 lb/ft. Two concentrated loads also act on the rod: P= 1700 lb and Q = 1100 lb. Assume a = 20 in. and b = 40 in. Determine the normal stress in the rod at the following locations: (a) x = 13 in. (b) x = 39 in. > > > -> -> > b Answer: Ox=13in. = psi Ox=39in. = psi
(a) A steel structural member of length = 10 ft. is supported between two fixed supports so that it cannot expand. At 68°F, there is no stress in the member. (E = 30 x 106 psi and α = 6.5 x 10-6/°F) Calculate the stress (psi) in the member at 95°F. Stress (psi) = (b) If the same structural member is not supported between two fixed supports, calculate the total elongation of the member (in.) for the same temperature change. elongation (in.) =
All forces applied in the system are in the (x - y) plane. The material point B at the top of the beam is rotated at an angle of 15° counterclockwise. It is required that the shear stress is 12.5 MPa for this rotated material point B. At the bottom point A of the beam it is required that the maximum tensile stress is 110 MPa. Determine the load P and the length d that satisfies these constraints defined for points A and B. Given data: L = 4 b, t = b / 25, c = 2b, b = 600 mm, e = 5 , f = 12
Determine the shear stress in pin A (double shear) and the normal stress in DE. The diameter of pin A is 0.125" and the cross section of DE is 0.15"x0.25". -2 ft -2 ft C A E 3 ft 600 lb