Shear Stress in Rectangular Section

Q. A rectangular beam of width 200 mm and depth 300 mm is subjected to a shear force of 200 kN. The maximum shear stress produced in the beam is

1. 10.0MPa
2. 7.5 MPa
3. 5.0 MPa
4. 3.33 MPa

Q. A rectangular beam of width 100 mm is subjected to a maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is $4N/m{m}^2$. The depth of the beam should be

1. 200 mm
2. 150 mm
3. 100 mm
4. 225 mm

Q. A timber beam is 100 mm wide and 150 mm deep. The beam is simply supported and carries a central concentrated load W. If the maximum stress in shear is $2N/m{m}^2$, what would be the corresponding load W on the beam?

1. 20 kN
2. 30 kN
3. 40 kN
4. 25 kN

Q. A simply supported beam of length 4 m is subjected to a uniformly distributed load of 2 kN/m. What is the maximum shear stress if the cross-section is rectangular, 100 mm wide and 200 mm deep?

1. $0.2N/m{m}^2$
2. $0.1N/m{m}^2$
3. $0.4N/m{m}^2$
4. $0.3N/m{m}^2$

Q. The shear stress distribution for a rectangular section under the action of shear force S is shown below. The rectangular section is b$\times$d. Select the correct shear stress distribution from the following :

1. 
2. 
3. 
4. 

Q. If a beam of rectangular cross-section is subjected to a vertical shear force V, the shear force carried by the upper one-third of the cross section is

1. Zero
2. $\frac{7V}{27}$
3. $\frac{8V}{27}$
4. $\frac{V}{3}$

Q. A beam of square cross-section (B x B) is used as a beam with one diagonal horizontal. The location of the maximum shear stress from the neutral axis will be at distance of

1. zero
2. $\frac{B}{4}$
3. $\frac{B}{4\sqrt{2}}$
4. $\frac{B}{8}$

Q. A beam of square cross-section is placed horizontally with one diagonal horizontal as shown in the figure below. It is subjected to a vertical shear force acting along the depth of the cross section. Maximum shear stress across the depth of cross section occurs at a depth 'x' from the top. What is the value of x?

1. x = 0
2. x = (2/3)D
3. x = (3/4)D
4. x = D

Q. Consider the following statements:
The shear stress over a beam section of any shape for a given loading does not vary with
1. shear force at the section
2. area of the section
3. moment of inertia of the section
Which of these statements are correct ?

1. 1 and 2
2. 1 and 3
3. 2 and 3
4. 1, 2 and 3

Q. A rectangular beam of width 100 mm is subjected to maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is $4N/m{m}^2$. The depth of the beam should be

1. 150 mm
2. 225 mm
3. 200 mm
4. 100 mm

Q. The transverse shear stress acting in a beam of rectangular cross-section, subjected to a transverse shear load, is

1. variable with maximum at the bottom of the beam
2. variable with maximum at the top of the beam
3. uniform
4. variable with maximum on the neutral axis

Q. Consider a simply supported beam of length 50h with a rectangular cross-section of depth h and width 2h. The beam carries a vertical point load P at its mid- point. The ratio of the maximum shear stress to the maximum bending stress in the beam is

1. 0.02
2. 0.10
3. 0.05
4. 0.01

Q. The intensity of u.d.I. which its acts over the entire span of m of a cantilever beam of rectangular cross-section of width 100 mm and depth 200 mm, would produce a maximum shear stress of $1.5N/m{m}^2$, is

1. 20 kN/m
2. 30 kN/m
3. 26.6 kN/m
4. 36.6 kN/m

Q. Consider a simply supported beam with a uniformly distributed load having a neutral axis (NA) as shown. For points P(on the neutral axis) and Q (at the bottom of the beam) the state of stress is best represented by which of the following pairs?

1. 
2. 
3. 
4. 

Q. Two planks each of 50 mm x 50 mm section are glued together the length to form a section 50 mm x 100 mm; and used as a beam. If the shear force at a section is 1000 N, what is the maximum shear stress on the glue?

1. 0.15 MPa
2. 0.3 MPa
3. 0.6 MPa
4. 2.4 MPa

Q. Match List - I with List-II and select the correct answer using the codes given below the lists :

List - I
A. Moment of inertia
B. Elongation
C. Neutral axis
D. Top fibre

List - II
1. Tensile stress
2. Modulus of rupture
3. Zero shear stress
4. Zero longitudinal stress

Codes :
A B C D

1. (a) 2 1 3 4
2. (b) 1 2 4 3
3. (c) 3 4 1 2
   
4. (d) 2 1 4 3

Q. Which one of the following diagrams shows correctly the distribution of transverse shear stress across the depth h of a rectangular beam subjected to varying bending moment along its length?

1. 
2. 
3. 
4.