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The shear force of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is _________ at the fixed end.
A
Zero
B
$$\frac{{{\text{w}}l}}{4}$$
C
$$\frac{{{\text{w}}l}}{2}$$
D
$${\text{w}}l$$
Correct Answer:
$$\frac{{{\text{w}}l}}{2}$$
The shear force diagram for a cantilever beam of length l and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is a
A
Horizontal straight line
B
Vertical straight line
C
Inclined line
D
Parabolic curve
The bending moment of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is ________ at the fixed end.
A
$$\frac{{{\text{w}}l}}{2}$$
B
$${\text{w}}l$$
C
$$\frac{{{\text{w}}{l^2}}}{2}$$
D
$$\frac{{{\text{w}}{l^2}}}{6}$$
A cantilever beam of length L carries a gradually varying load form zero at free and w per unit length at the fixed end. The maximum deflection lies at
A
free end
B
fixed end
C
L/3 sloping side
D
none of these
"It is now expected that the variable production cost per unit and the selling price per unit will each increase by 10%, and fixed production cost will rise by 25%. What will be the new break even point?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."
A
8,788 units
B
11,600 units
C
11,885 units
D
12,397 units
The shear force of a cantilever beam of length $$l$$ carrying a uniformly distributed load of w per unit length is _________ at the free end.
A
Zero
B
$$\frac{{{\text{w}}l}}{4}$$
C
$$\frac{{{\text{w}}l}}{2}$$
D
$${\text{w}}l$$
The shear force of a cantilever beam of length $$l$$ carrying a uniformly distributed load of w per unit length is __________ at the fixed end.
A
Zero
B
$$\frac{{{\text{w}}l}}{4}$$
C
$$\frac{{{\text{w}}l}}{2}$$
D
$${\text{w}}l$$
A simply supported beam with a gradually varying load from zero at ‘B’ and ‘w’ per unit length at ‘A’ is shown in the below figure. The shear force at ‘B’ is equal to
A
$$\frac{{{\text{w}}l}}{6}$$
B
$$\frac{{{\text{w}}l}}{3}$$
C
$${\text{w}}l$$
D
$$\frac{{2{\text{w}}l}}{3}$$
The shear force diagram of a cantilever beam of length ‘l’ and carrying a uniformly distributed load of w per unit length will be
A
A right angled triangle
B
An isosceles triangle
C
An equilateral triangle
D
A rectangle
The shear force at the center of a simply supported beam with a gradually varying load from zero at both ends to w per meter at the center, is
A
Zero
B
$$\frac{{{\text{w}}l}}{4}$$
C
$$\frac{{{\text{w}}l}}{2}$$
D
$$\frac{{{\text{w}}{l^2}}}{2}$$
The bending moment of a cantilever beam of length $$l$$ and carrying a uniformly distributed load of w per unit length is __________ at the free end.
A
Zero
B
$$\frac{{{\text{w}}l}}{4}$$
C
$$\frac{{{\text{w}}l}}{2}$$
D
$${\text{w}}l$$
