Related Questions

When a circular beam of diameter d is subjected to a shear force F, the maximum shear stress induced will be
A $$\frac{{4{\text{F}}}}{{\pi {{\text{d}}^2}}}$$
B $$\frac{{{\text{6F}}}}{{\pi {{\text{d}}^2}}}$$
C $$\frac{{{\text{8F}}}}{{\pi {{\text{d}}^2}}}$$
D $$\frac{{{\text{16F}}}}{{3\pi {{\text{d}}^2}}}$$
When a beam of rectangular cross-section of width b and depth d, is subjected to a shear force F, the maximum shear stress induced will be
A $$\frac{{\text{F}}}{{{\text{bh}}}}$$
B $$\frac{{{\text{3F}}}}{{{\text{2bh}}}}$$
C $$\frac{{{\text{2F}}}}{{{\text{bh}}}}$$
D $$\frac{{{\text{4F}}}}{{{\text{bh}}}}$$
‘P’ is the pre-stressed force applied to the tendon of a rectangular pre-stressed beam whose area of cross section is ‘A’ and sectional modulus is ‘Z’. The maximum stress ‘f’ in the beam, subjected to a maximum bending moment ‘M’, is
A $${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{Z}}}{{\text{M}}}$$
B $${\text{f}} = \frac{{\text{A}}}{{\text{P}}} - \frac{{\text{M}}}{{\text{Z}}}$$
C $${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{M}}}{{\text{Z}}}$$
D $${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{M}}}{{6{\text{Z}}}}$$
‘P’ is the pre-stressed force applied to tendon of a rectangular pre-stressed beam whose area of cross section is ‘A’ and sectional modulus is ‘Z’. The minimum stress ‘f’ on the beam subjected to a maximum bending moment ‘M’ is
A $${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{Z}}}{{\text{M}}}$$
B $${\text{f}} = \frac{{\text{A}}}{{\text{P}}} - \frac{{\text{M}}}{{\text{Z}}}$$
C $${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{M}}}{{\text{Z}}}$$
D $${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{M}}}{{6{\text{Z}}}}$$
The rectangular beam 'A' has length ‘l’, width ‘b’ and depth ‘d’. Another beam 'B' has the same length and depth but width is double that of 'A'. The elastic strength of beam 'B' will be _________ as compared to beam ‘A’.
A Same
B Double
C Four times
D Six times
A simply supported beam 'A' of length l, breadth b, and depth d carries a central point load W. Another beam 'B' has the same length and depth but its breadth is doubled. The deflection of beam 'B' will be __________ as compared to beam 'A'.
A One-fourth
B One-half
C Double
D Four times
The rectangular beam 'A ' has length l, width b and depth d. Another beam 'B' has the same width and depth but length is double that of 'A'. The elastic strength of beam 'B' will be __________ as compared to beam A.
A Same
B One-half
C One-fourth
D One-eighth
The rectangular beam 'A' has length l, width b and depth d. Another beam 'B' has the same length and width but depth is double that of 'A'. The elastic strength of beam B will be __________ as compared to beam A.
A Same
B Double
C Four times
D Six times
A closely coiled helical spring is acted upon by an axial force. The maximum shear stress developed in the spring is $$\tau $$. The half of the length of the spring if cut off and the remaining spring is acted upon by the same axial force. The maximum shear stress in the spring in new condition will be
A $$\frac{\tau }{2}$$
B $$\tau $$
C $$2\tau $$
D $$4\tau $$
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is
A 0.207
B 0.307
C 0.407
D 0.508

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