Two blocks of wood, width w and thickness t, are glued together along the joint inclined at the angle 0 as shown in figure below. Show that the shearing stress on the glued joint is t = P sin 20 / 2A, where A is the cross-sectional area of the hlock

Two blocks of wood, width w and thickness t, are glued together along the joint inclined at the angle 0 as shown in figure below. Show that the shearing stress on the glued joint is t = P sin 20 / 2A, where A is the cross-sectional area of the hlock

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.9.3P: A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the...

See similar textbooks

Related questions

Q: two of the arms of a lug wrench (see figure below). The wrench is made of steel with a shear modulus…

Q: The dimensions of the beam with the cross-section are given as b, a, t as in the figure on the…

A: Given data The dimensions of the beam with the cross-section are given as b, a, t as in the figure…

Q: per the attached figure: if the applied shear force V = 14 kip, determine the maximum shear stress…

A: For the given block the neutral axis from top is,

Q: Two short shafts having identical diameters of 38.0 mm. and rotating at 400 RPM transmitted 26.5 kW…

Q: A rectangular piece of wood, 50 mm by 100 mm in cross section, is used as a compression block shown…

Q: The butt joint shown in the figure is connected using five 20 mm diameter bolt. If the tension force…

Q: The rectangular piece of wood, 51 mm by 183 mm, is used as a compression block. The grain of the…

Q: Problem 2: It is recommended to change the circular cross section shown in the figure by a square…

Q: Each of the four links in Figure has an 8x36mm uniform rectangular cross section and each of the…

A: Consider the free body diagram as shown below for the link ABC. From the moment equilibrium about…

Q: 1 (c) Determine the maximum shear stress for the member shown in figure below. The lengths and…

Q: 4 ft Calculate the average shear stress in MPa of the pins B and C on the frame shown in the figure.…

Q: PROBLEM 1. The AD beam shown in the figure is supported by BC rod with pin connections. The pin at…

Q: Two bars are connected by means of a rivet of diameter 5 mm as shown in fig. below. Determine the…

Q: Tsy

A: Given Data⇒ σx=60 MPaσy=50 MPaζxy=50 MPa

Q: Determine the shear stress and bending moment lines under load as shown in the figure below.

Q: 1. In the figure, assume that a 20-mm diameter rivet joins the plates which are 100 mm wide. a. If…

A: P= Stress x Arivets P=80[1/4 π (202)] P=8000 π N From bearing of plate material:P=σbAb 8000 π = 140…

Q: The internal shear force at a certain section of a steel beam is V = 8.1 kN. The beam cross-section…

Q: A high strength drill rod used for boring a hole in the earth has a diameter of 50 mm. The allowable…

Q: 20 KN / m 5 KN / m A B SIMPLE STRESSES 5 KN / m D 50 KN-m 5 KN / m F 2. Points C and D of the 1.00…

A: according to the given details

Q: The strut AB made from two bars (thickness of each bar = 0.50 in) is connected to a rectangular beam…

A: ◆ Take the moment of forces about point C to determine the compressive force in the strut AB. ◆ The…

Q: The cross-sectional beam shown in the figure is subject to a maximum shear stress of 35 ksi, due to…

Q: The butt joint shown in the figure is connected using five 20 mm diameter bolt. If the tension force…

Q: The wood beam has a square cross section. Find the smallest allowable cross-sectional dimensions if…

A: Given: The beam is shown below: The maximum bending stress and shear stress are 8 Mpa and 1 Mpa.

Q: QUESTION 1) A channel type cross-section is subjected to the compression force P-20 kN at the point…

A: The section is as shown below, The area of the section is, A1=20×5=100 cm2A2=20×5=100…

Q: the butt joint shown in the figure is connected using five 20mm diameter bolt. If the tension…

A: Given data: P=25 kNd=20 mm Need to determine the maximum shearing stress developed in the bolts.

Q: 1. A force of P: = 800 N is exerted on control arm BC, which is securely attached to the solid 30 mm…

Q: Find the smallest diameter for the one bolt that can be used in the figure if P = 90 kN. The working…

A: The given figure shows a single riveted joint with double plate To find : the area of the bolt…

Q: Q5(): For the truss shown in the Figure, if the diameter of pins at A and F are 2 in. and 1.5 in.,…

Q: Observe the figure below. Determine the following: a. axial stress on the shank if the load applied…

Q: re= 3cm 300m 20m

A: When a shaft is subjected to torque, shear stress produces in the shaft. The torsion equation is…

Q: A solid circular torsional member OPQ is subjected to torsional moments as shown in the figure (not…

A: GIVEN DATA- A STEPPED SHAFT GIVEN WE HAVE TO FIND MAXIMUM SHEAR STRESS IN SHAFT

Q: On the figure below, determine the following: 1. Maximum bearing stress at joints ( bolts and…

Q: Two blocks of wood, 50 mm wide and 20 mm thick, are glued together as shown in figure below. Using…

Q: A rigid bar BCD is connected by link at AC at point C as shown in the figure. The Structure is…

Q: If the wood joint in Figure has a thickness of 150 mm, determine the average shear stress along…

A: 2F = 6 ⇒F=3×N=Vb Therefore, Average shear stress along a-a plane =3×103150×100…

Q: Q8(0: For the truss shown in the Figure, if the diameter of pins at A and G are 3 in and 2 in,…

A: The stresses are to be calculated in support pin and members of truss. First the reaction forces are…

Q: A 28mm diameter steel shaft AB is built into a rigid wall at A and supported by a smooth bearing at…

Q: Q1/ Find the value of P for the joint shown in the figure if the allowable shear stress is 100 MPa…

Q: A simply supported beam (i.e., with a pin support at point A and a roller support at point D) is…

Q: Two planks are nailed together to form the T-beam shown 50 mm 300 mm in the figure. Each nail can…

A: Given: The allowable shear stress of wood material is τa=3 MPa=3 N/mm2, The shear force that each…

Q: When a force P of 750 N is applied to the pedal shown in the figure, find the diameter (mm) of this…

Q: If the wood joint shown in the figure has width of 200 mm, determine the average shear stress…

Q: The sign is subjected to the uniform wind loading with the pressure 1.75 kPa. The supporting post…

Q: 200 mm 1.36 The bell crank, which is in equilibrium under the forces shown in the figure, is…

Q: (A) Q: Three boards are bolted together to form the beam section shown in figure. The (6 mm) bolts…

A: Given data :- diameter of bolts = 6 mm spacing between bolt =150 mm shear force = 6 kN. a) shear…

Q: The copper shaft (G= 44 GPa) is bonded to A the aluminum shaft (G= 26 GPa) at B point and their…

A: Given, Modulus of rigidity of copper,G=44GPaModulus of rigidity of aluminium,G=26GPaLength of AB,…

Q: Eight 7/8-in-diameter rivets fasten the plate in figure to the fixed member. Determine the average…

A: Introduction: A rivet is a permanent mechanical fastener with head-on at one end and a cylindrical…

Q: 4 ft- 4 ft– 500 lb A 4 ft C BA 2 ft 2 ft 4 ft 500 N D

Q: 1. The steel shaft carries the axial loads as shown in the figure below. Determine the change in…

A: Consider the free body diagram:

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Two blocks of wood, width w and thickness t, are glued together along
the joint inclined at the angle 0 as shown in figure below. Show that the
shearing stress on the glued joint is t =
cross-sectional area of the hlock
P sin 20 / 2A, where A is the
P

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.
Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.
A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? Repeat part (a) for the post with cruciform cross section. Under the conditions described in parts (a) and (b), which post has the largest compressive stress?
A short column with a wide-flange shape is subjected to a compressive load that produces a resultant force P = 55 kN acting at the midpoint of one flange (see figure). Determine the maximum tensile and compressive stresses asand o^., respectively, in the column, Locate the neutral axis under this loading condition. Recompute maximum tensile and compressive stresses if a 120 mm X 10 mm cover plate is added to one flange as shown.
Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d of the piston is 1,80 in. and the compressive force F is 3500 lb. The maximum allowable shear stress t^^, in the wall of the cylinder is 5500 psi. What is the minimum permissible thickness t„± of the cylinder wall? (Sec figure
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of an entrance canopy Tor a building (see figure}. Assume that the canopy segment has a weight it' = 1700 lb. (a) Find the required cross-sectional area of cable ADB if the allowable stress is 18 ksi. (b) Determine the required diameter of the pins at O. A, R and D if the allowable stress in shear is 12 ksi.