Why in 1940 it was not possible to make a universal fighter from the Yak-1 according to the concept proposed by Polikarpov

In September 1940, Nikolai Polikarpov, who headed OKB-51, began work on a fighter with a 37 mm cannon. The universal winged vehicle was supposed to solve three main combat missions: air combat, destruction of ground targets and escort of bombers.
As armament for such an aircraft, the designer proposed using one Sh-37 cannon with 50 rounds of ammunition, as well as two ShVAK synchronous machine guns with 2400 rounds of ammunition.
At the same time, the emphasis in the design of the fighter was placed not only on powerful weapons, but also on a long flight range with high speed and maneuverability.
As a result, the aircraft was supposed to be close in its flight characteristics to the MiG-1 and I-185, but at the same time surpass them in terms of armament and range.
According to the designer's calculations, the universal fighter was supposed to reach a maximum speed of 535 km/h at an altitude of 7400-6700 meters with a speed range of 1450 km.
Already at the beginning of 1940, the head of the Air Force Rychagov turned to Shakhurin and Beria with a request to begin preliminary design of modern fighters with 37-mm cannons.
At the end of December, Alexander Yakovlev and the designers of Plant No. 31 tried to find a way to install the 37-mm Shpitalny gun on the Yak-1 fighter.
During the discussion of the project, it turned out that the design of the aircraft for these purposes would have to be seriously changed. The fact is that the weight of the Sh-37 cannon with 50 rounds of ammunition and two ShKAS machine guns with a full ammunition load of 2400 rounds, as well as a carriage and recoil shock absorbers, was 3,2 times greater than the weight of all standard Yak-1 weapons. The excess weight was approximately 243 kg.
But that's not all. The significant dimensions of the Sh-37 gun required the cockpit to be shifted towards the tail of the aircraft to maintain alignment.
In addition, due to the significant increase in weight, reinforcement of the chassis and the use of main wheels with larger pneumatics were required. This entailed not only a rearrangement of the chassis layout, but also strengthening of the wing, as well as radical changes to its design.
As a result, Yakovlev decided that installing a cannon on the Yak-1 was impractical, and included in the experimental aircraft construction plan for 1941 the development of a special aircraft with a 37-mm cannon.
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